CM2020: 16TH COPPER MOUNTAIN CONFERENCE ON ITERATIVE METHODS

This page contains an index consisting of author-provided keywords.

3
3T	Multimaterial, three temperature radiation-hydrodynamics solver for ICF applications
A
a posteriori error estimates	Computing a posteriori error estimates for algebraic multigrid methods on graphs
Abstract	Multigrid Methods and Convolutional Neural Network
Accelerated fixed point iterations	A new implicit Eulerian solver for semiconductor models
adaptive coarse problems	Machine Learning in adaptive domain decomposition methods-- predicting the geometric location of constraints
adaptive mesh	A moment-accelerated iterative implicit solver for the multispecies 1D-2V Vlasov-Fokker-Planck – Ampère kinetic equation
Adaptivity	Adaptive Space-Time CFOSLS for Evolution Equations
Adiabatic quantum computing	Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm
adjoint systems	BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
ADMM method	An ADMM-based time domain decomposition approach for PDE constrained optimization
aerodynamics	Nonlinear and Linear Agglomeration Multigrid Methods for Reynolds-averaged Navier-Stokes Problems in Aerodynamics
AL preconditioner	Recurrent use of AL preconditioner for fluid equations on manifolds.
algebraic multigrid	Developing Work-Optimal Multilevel Methods A Multigrid Reduction Framework for Flow in Porous and Fractured Media Algebraicly generated line relaxation for algebraic multigrid domain decomposition Finding AMG aggregates in a haystack: from maximum product matching to scalable solvers Block preconditoning strategy for reduced magnetohydrodynamic (RMHD) equations Matrix-free preconditioning for high-order finite elements Algebraic Multigrid Preconditioning for PDE-constrained Optimization
algebraic multigrid (AMG)	Coarse Grid Selection using Simulated Annealing
algebraic multigrid method	Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media
Algebraic Preconditioners	FROSch - A framework for parallel Schwarz preconditioners in Trilinos
all-at-once system	A Low-Rank Solver for the Unsteady Navier-Stokes Equations
alternating least squares	Optimal Asymptotic Convergence Rates for Nesterov and Anderson Acceleration with Application to Tensor Decomposition
AMG	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems Recent Development of Multigrid Solvers in HYPRE on Modern Heterogeneous Computing Platforms Expressing AMG Interpolation in Terms of Sparse Matrix-Matrix Multiplications
amggpuperf	Algebraic Multigrid Methods for Large-Scale Electromagnetic Particle-in-Cell Simulations MueLu's SA-AMG implementation and performance on GPUs Recent Development of Multigrid Solvers in HYPRE on Modern Heterogeneous Computing Platforms One-Reduce FGMRES-AMG with Two-Stage Gauss-Seidel Smoothers on GPU
AMLI-cycle multigrid	Nesterov Accelerated Multigrid Method
Analysis of convergence	Block preconditioners for the the coupled Darcy-Stokes problem
Anderson acceleration	Nonlinear Solvers for Two-species Neutrino-matter Equations in Core-Collapse Supernovae Simulations
Approximate Block Factorization	Scalable Block Preconditioning of Implicit / IMEX FE Continuum Plasma Physics Models
approximate inverse	A Scalable Approximate Inverse Block Preconditioner for an Incompressible Magnetohydrodynamics Model Problem
Arnoldi	Delayed Re-Orthogonalization to Achieve One-Synch Classical Gram-Schmidt Applied to GMRES and Krylov-Schur Algorithms
Artificial Intelligence (AI)	Future of Computing – How May Iterative Methods Exploit Future Technology Directions
Asymptotic convergence	Optimal Asymptotic Convergence Rates for Nesterov and Anderson Acceleration with Application to Tensor Decomposition
Asynchronous iteration	Dynamic Non-Uniform Randomization in Asynchronous Linear Solvers
Asynchronous Iterative Methods	Smoothing by asynchronous iterations and sparse approximate inverses for fluid dynamics on graphics processing units On appropriate coarse spaces for asynchronous Optimized Schwarz Method
Asynchronous Iterative Solvers	Asynchronous SGD for Training DNNs
asynchronous methods	Redundancy as a Remedy for Delayed Communication in Asynchronous Solvers
Augmented Lagrangian formulation	Block preconditioners for the the coupled Darcy-Stokes problem
automatic differentiation	Finite Element Tools for Performance Portability of Implicit and IMEX Simulations on Next Generation Architectures
axisymmetric	Multigrid in H(div) on Axisymmetric Domains
B
Backward Error	Newton's Method in Mixed Precision
band-Toeplitz/circulant preconditioners	Band-Toeplitz preconditioners for nonsymmetric ill-conditioned Toeplitz systems
banded preconditioner	Spectral-based fast solvers for finite volume discretizations of a conservative fractional diffusion problem
barotropic mode	A scalable semi-implicit barotropic mode solver for the MPAS-Ocean
BDDC	Machine Learning in adaptive domain decomposition methods-- predicting the geometric location of constraints
bits	Future of Computing – How May Iterative Methods Exploit Future Technology Directions
black-box	A new quasi-Newton method for a black-box system with a physics-based surrogate
Blind Deconvolution	Image Completion and Blind Deconvolution: Model and Algorithm
Block Decompositions	A New Solver for Coupling Maxwell's Equations to Transmission Lines
Block Iterative Methods	Low-Rank Stopping Criteria for Block Parallel SVD
block matrices	Band-Toeplitz preconditioners for nonsymmetric ill-conditioned Toeplitz systems
Block preconditioners	Block Preconditioning for Implicit Runge-Kutta Methods for Time-Dependent Block preconditioners for the the coupled Darcy-Stokes problem
block preconditioning	Nonsymmetric block preconditioners and heterogeneous DSA, compatible with voids Block preconditoning strategy for reduced magnetohydrodynamic (RMHD) equations
Boltzmann	Nonsymmetric block preconditioners and heterogeneous DSA, compatible with voids
Bound-constrained optimization	A Projected Newton-Krylov Method for Large-Scale Bound-Constrained Optimization Problems
boundary-layer preconditioning	Peclet-robust preconditioners for singularly perturbed convection-diffusion equations
C
Cahn-Hilliard	An Adaptive Newton Div-Curl Least-Squares Finite Element Method for the Cahn-Hilliard Equation
Cancer Immunotherapy Model	A Discrete-time Cancer Immunotherapy Model under the Kolmogorov Equation View and the Reaction-Diffusion Model
CANGA	Overcoming Gibbs Phenomenon in Data Remap and Convection-Dominant PDEs using WLS-ENO Techniques Meshless Remap of Native Fields for Earth System Models via Generalized Moving Least Squares
Cardiac mechanics	New mixed methods for incompressible hyperelasticiy in terms of Kirchhoff stress
Cauchy integral method	A Rational Approximation Method for Large-Scale Nonlinear Eigenvalue Problems
CFOSLS	Adaptive Space-Time CFOSLS for Evolution Equations
coarse space	A GenEO coarse space for solving the heterogeneous Helmholtz equation with domain decomposition methods
coastal wave models	Analysis of the sensitivity of output wave height to input bottom friction and bathymetry in the coastal wave model STWAVE
Communication Avoiding
compressibility	Compressibility Constraints for Adaptive Rate ZFP Compression in Iterative Methods
compression	Compressibility Constraints for Adaptive Rate ZFP Compression in Iterative Methods
Compton scattering	Iterative Methods for Thermal Radiation Transport with Multiple Preconditioners
Computational chemistry	Sparse trigonometric interpolation with applications to computational chemistry
computational ecosystems	Future of Computing – How May Iterative Methods Exploit Future Technology Directions
Computational fluid dynamics	Smoothing by asynchronous iterations and sparse approximate inverses for fluid dynamics on graphics processing units
Computer Vision	A Multilevel Hyperbolic Neural Network for Image Segmentation.
Conjugate Gradient	Preconditioning Enlarged Krylov Subspace Methods Predict-and-recompute Conjugate Gradient Variants
conjugate gradient method	Sharp 2-norm Error Bounds for the Conjugate Gradient Method and LSQR
conjugate gradients	On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic
conservative	Spectral-based fast solvers for finite volume discretizations of a conservative fractional diffusion problem
conservative discretization	A moment-accelerated iterative implicit solver for the multispecies 1D-2V Vlasov-Fokker-Planck – Ampère kinetic equation
convection-diffusion equations	Peclet-robust preconditioners for singularly perturbed convection-diffusion equations
convection-diffusion problems	A System of Semilinear Singularly Perturbed Convection-Diffusion type
Convergence analysis	Fractional Optimal Control Problems with State Constraints: Algorithm and Analysis
Convolutional Neural Networks	LeanConvNets: Low-cost Yet Effective Convolutional Neural Networks
Coupled multi-physics	Simulating Multi-Species Compressible Flow with a Fully-Implicit All-Speed Flow Solver
Coupled problems	Block preconditioners for the the coupled Darcy-Stokes problem
coupling	Meshless Remap of Native Fields for Earth System Models via Generalized Moving Least Squares
Coupling methods	Interface Flux Recovery Coupling Method for the Ocean-Atmosphere System
cycle space	Computing a posteriori error estimates for algebraic multigrid methods on graphs
D
DAG-based computational graph	Leveraging One-Sided Communication for Sparse Triangular Solvers
Data remap	Overcoming Gibbs Phenomenon in Data Remap and Convection-Dominant PDEs using WLS-ENO Techniques
data science	Iterative Solution Methods for Nonnegative Matrix Factorizations LeanConvNets: Low-cost Yet Effective Convolutional Neural Networks
decision trees	Improving linear solver performance using machine learning
decomposition	Quantum Computing From a Linear Algebra Perspective
deep learning	A Multilevel Hyperbolic Neural Network for Image Segmentation. Generative adversarial networks and iterative methods Multi-tasking deep learning models for predictions of total energy of solid solution alloys Deep Learning Enriched with Fractional Operators
deep neural networks	Layer-Parallel Training and Multilevel Initialization for Deep Residual Neural Networks Asynchronous SGD for Training DNNs Towards Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint Efficient Training of Neural Network Surrogate Methods with Variable Projection
deep residual networks	Multilevel training of deep residual networks
deflation	Deflated p-multigrid solvers for Isogeometric Analysis Deflation and preconditioning strategies for sequences of sampled stochastic elliptic equations
DEIM	An efficient solver for nonlinear Bayesian inverse problems
density functional theory	Multi-tasking deep learning models for predictions of total energy of solid solution alloys
Diffusive Scaling	Multilevel Monte Carlo with improved correlation for kinetic equations in the diffusive scaling
discontinuous Galerkin	Efficient low-order refined solvers for high-order matrix-free continuous and discontinuous Galerkin methods
Discontinuous Galerkin Discretization	Regularized Non-linear Least-Squares Unconstrained Minimization Method for High-order Finite-Element Implicit Shock-Fitting in Space-Time
discontinuous Galerkin methods	p-Multigrid with Partial Smoothing: An Efficient Preconditioner for Discontinuous Galerkin Discretizations with Modal Bases
distributionally robust optimization	An Approximation Scheme For Distributionally Robust Nonlinear PDE-Constrained Optimization
domain decomposition	Domain decomposition Rayleigh-Ritz approaches for symmetric generalized eigenvalue problems A new implicit Eulerian solver for semiconductor models FROSch - A framework for parallel Schwarz preconditioners in Trilinos Analysis of parallel Schwarz solvers for time-harmonic wave propagation problems A GenEO coarse space for solving the heterogeneous Helmholtz equation with domain decomposition methods
domain decomposition method	A System of Semilinear Singularly Perturbed Convection-Diffusion type
Domain decomposition methods	Scalable multilevel domain decomposition methods with SG coarse spaces for the multigroup neutron transport equations Machine Learning in adaptive domain decomposition methods-- predicting the geometric location of constraints High Performance Domain Decomposition Method for 3D Electromagnetic simulations On appropriate coarse spaces for asynchronous Optimized Schwarz Method
DSA	Iterative Methods for Thermal Radiation Transport with Multiple Preconditioners Nonsymmetric block preconditioners and heterogeneous DSA, compatible with voids
E
edge enhancement	An Inner-Outer Iterative Method for Edge Preservation in Image Restoration and Reconstruction
Effectiveness	Preconditioners based on enhanced structured incomplete factorization (eSIF) for general SPD matrices
eigensolver	Parallel spectral partitioning on multiple GPUs
eigensolvers	Low-precision orthogonalization in eigensolvers
Eigenvalue	Hybrid Iterative Refined Methods for Symmetric Eigenvalue Problems
eigenvalues	Singular Systems along with Eigenvalues and Singular Values
Electrical Impedance Tomography	A Hybrid Approach for Image Reconstruction in Electrical Impedance Tomography
Electromagnetic simulations	High Performance Domain Decomposition Method for 3D Electromagnetic simulations
electronic structure calculations	Multi-tasking deep learning models for predictions of total energy of solid solution alloys
Elliptic equations	Additive Schwarz Preconditioners for a Localized Orthogonal Decomposition Method Algebraic Multigrid Preconditioning for PDE-constrained Optimization
Energy Function	Energy Function Approach to the Time-Varying Optimal Gas Flow
error analysis	Error Analysis of Mixed Precision Algorithms for Computing Matrix Interpolative Decompositions
error correction	CALIBRATING SENSING DRIFT IN TOMOGRAPHIC INVERSION
Exascale	MueLu's SA-AMG implementation and performance on GPUs
extended Krylov subspace	A single-pole rational Krylov subspace method for approximating Markov functions of matrices
F
fast solver	On the robust discretization and fast solver for the H(curl) and H(div) convection-diffusion problems
FEM	Discretization of the Multi-fluid Plasma Model using IMEX and Mixed Continuous/Discontinuous FEM
FETI-DP	Machine Learning in adaptive domain decomposition methods-- predicting the geometric location of constraints
Fine-grain parallel smoothing	Smoothing by asynchronous iterations and sparse approximate inverses for fluid dynamics on graphics processing units
finite difference discretization on staggered grids	Non-overlapping block smoothers for the Stokes equations
finite difference method	High-precision quantum algorithms for ODEs and PDEs High-precision quantum algorithms for partial differential equations
Finite Element Methods	Primal-Dual Weak Galerkin Finite Element Methods for First-Order Transport Problems Algebraic Multigrid Preconditioning for PDE-constrained Optimization
Finite elements	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems Matrix-free preconditioning for high-order finite elements A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations Fractional Optimal Control Problems with State Constraints: Algorithm and Analysis
Finite Elment Method	Adaptive Space-Time CFOSLS for Evolution Equations
finite precision arithmetic	On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic
finite volumes	Spectral-based fast solvers for finite volume discretizations of a conservative fractional diffusion problem
First-Order Transport Problems	Primal-Dual Weak Galerkin Finite Element Methods for First-Order Transport Problems
fixed-point iteration	INCISIVE DVF INVERSION VIA BI-RESIDUAL FEEDBACK
flexible Krylov methods	Krylov Methods for Low-Rank Regularization
Fluid dynamics	Simulating Multi-Species Compressible Flow with a Fully-Implicit All-Speed Flow Solver
Fluid systems	Recurrent use of AL preconditioner for fluid equations on manifolds.
Fluid-structure interaction	Parallel-in-time simulation of biofluids A solution strategy for fluid-structure interaction using the unified continuum formulation, quasi-direct coupling, and nested block preconditioning
Flux recovery	Interface Flux Recovery Coupling Method for the Ocean-Atmosphere System
Forward Euler method	A Discrete-time Cancer Immunotherapy Model under the Kolmogorov Equation View and the Reaction-Diffusion Model
Fourier finite element	Multigrid in H(div) on Axisymmetric Domains
fractional differential equations	Band-Toeplitz preconditioners for nonsymmetric ill-conditioned Toeplitz systems
fractional diffusion equations	Spectral-based fast solvers for finite volume discretizations of a conservative fractional diffusion problem
Fractional Helmholtz equation	A Fast Solver for the Fractional Helmholtz Equation
Fractional Laplacian Regularization	Deep Learning Enriched with Fractional Operators
Fractional PDE	Fractional Optimal Control Problems with State Constraints: Algorithm and Analysis
fracture flow	Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media
fractured media	A Multigrid Reduction Framework for Flow in Porous and Fractured Media
Fractured porous media	Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media
free surface flow	A new quasi-Newton method for a black-box system with a physics-based surrogate
G
Gas Flow	Energy Function Approach to the Time-Varying Optimal Gas Flow
Generalized finite flements	Additive Schwarz Preconditioners for a Localized Orthogonal Decomposition Method
Generalized Matrix Function	Computing Generalized Matrix Functions with Singular Value Estimation
generalized moving least squares	Meshless Remap of Native Fields for Earth System Models via Generalized Moving Least Squares
generative adversarial networks	Generative adversarial networks and iterative methods
geomechanics	Multiscale preconditioning for coupled porous media flow and geomechanics on unstructured grids
geometric multigrid methods	Non-overlapping block smoothers for the Stokes equations
Gibbs phenomenon	Overcoming Gibbs Phenomenon in Data Remap and Convection-Dominant PDEs using WLS-ENO Techniques
GMLS	GMLS-Nets: a convolutional neural network architecture for unstructured point-cloud data
GMRES	Scalable convergence using two-level deflation preconditioning for the Helmholtz equation Practical Considerations for Polynomial Preconditioned GMRES
Golob-Kahan bidiagonalization	Computing Generalized Matrix Functions with Singular Value Estimation
Golub-Kahan process	Sharp 2-norm Error Bounds for the Conjugate Gradient Method and LSQR
GPU	Algebraic Multigrid Methods for Large-Scale Electromagnetic Particle-in-Cell Simulations Robust Structured Multigrid on GPUs: Leveraging legacy kernels in the Cedar Framework MueLu's SA-AMG implementation and performance on GPUs Data motion analysis for Implicit Monte Carlo on CPUs and GPUs Parallel spectral partitioning on multiple GPUs
Gradient Descent	Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms Towards Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint
Gram-Schmidt	Delayed Re-Orthogonalization to Achieve One-Synch Classical Gram-Schmidt Applied to GMRES and Krylov-Schur Algorithms
graph clustering	Mixed-Precision Arithmetic for Graph Clustering and Graph Ranking
Graph coarsening	Multicolor Block Gauss-Seidel using Kokkos
Graph Laplacian	A Multilevel Subgraph Preconditioner for Linear Equations in Graph Laplacians Computing a posteriori error estimates for algebraic multigrid methods on graphs
graph ranking	Mixed-Precision Arithmetic for Graph Clustering and Graph Ranking
Graphical LASSO	Exploiting Sparsity in the Estimation of Gaussian Mixture Models
Graphical models	Exploiting Sparsity in the Estimation of Gaussian Mixture Models
Graphics processing unit	Smoothing by asynchronous iterations and sparse approximate inverses for fluid dynamics on graphics processing units
H
H(curl) and H(div) convection-diffusion problems	On the robust discretization and fast solver for the H(curl) and H(div) convection-diffusion problems
h-multigrid	A two level method for isogeometric discretizations
half precision	Error Analysis of Mixed Precision Algorithms for Computing Matrix Interpolative Decompositions
Helmholtz	Scalable convergence using two-level deflation preconditioning for the Helmholtz equation
Helmholtz decomposition	Computing a posteriori error estimates for algebraic multigrid methods on graphs
Helmholtz equation	WaveHoltz an Iterative Solver for the Helmholtz Equation via the Wave Equation. Part 1: Theoretical Aspects. WaveHoltz an Iterative Solver for the Helmholtz Equation via the Wave Equation. Part 2: Experiments, implementation and extensions. A GenEO coarse space for solving the heterogeneous Helmholtz equation with domain decomposition methods
heterogeneous components	Future of Computing – How May Iterative Methods Exploit Future Technology Directions
heterogeneous computing	Finite Element Tools for Performance Portability of Implicit and IMEX Simulations on Next Generation Architectures
High Performance Computing	Data motion analysis for Implicit Monte Carlo on CPUs and GPUs High Performance Domain Decomposition Method for 3D Electromagnetic simulations
high-order	Optimizing MGRIT and Parareal coarse-grid operators for linear advection
high-order finite elements	Regularized Non-linear Least-Squares Unconstrained Minimization Method for High-order Finite-Element Implicit Shock-Fitting in Space-Time Efficient low-order refined solvers for high-order matrix-free continuous and discontinuous Galerkin methods
high-order/low-order acceleration	A moment-accelerated iterative implicit solver for the multispecies 1D-2V Vlasov-Fokker-Planck – Ampère kinetic equation
high-performance computing	Domain decomposition Rayleigh-Ritz approaches for symmetric generalized eigenvalue problems Algebraicly generated line relaxation for algebraic multigrid domain decomposition Finding AMG aggregates in a haystack: from maximum product matching to scalable solvers
HOLO	Multimaterial, three temperature radiation-hydrodynamics solver for ICF applications A moment-accelerated iterative implicit solver for the multispecies 1D-2V Vlasov-Fokker-Planck – Ampère kinetic equation A coupled thermal radiative transfer and kinetic plasma solver
HPC	FROSch - A framework for parallel Schwarz preconditioners in Trilinos
hybrid	An iterative particle-in-cell scheme for the hybrid plasma model using physics-based preconditioning
Hybrid High-Order	An h-multigrid method for Hybrid High-Order discretizations
hybrid parallelism	p-Multigrid with Partial Smoothing: An Efficient Preconditioner for Discontinuous Galerkin Discretizations with Modal Bases
hybrid regularization methods	An Inner-Outer Iterative Method for Edge Preservation in Image Restoration and Reconstruction
Hybridized mixed formulation	Preconditioning for a Stabilized Mixed-Hybrid Formulation of Biot’s Poroelasticity Equations
hyperbolic	Optimizing MGRIT and Parareal coarse-grid operators for linear advection
Hyperbolic limit	Overcoming Gibbs Phenomenon in Data Remap and Convection-Dominant PDEs using WLS-ENO Techniques
Hyperbolic PDEs	A Multilevel Hyperbolic Neural Network for Image Segmentation.
HYPRE	Recent Development of Multigrid Solvers in HYPRE on Modern Heterogeneous Computing Platforms
I
Ice sheet modeling	Initialization of the thermo-mechanical state of an ice sheet model using PDE-constrained optimization
ICF	Multimaterial, three temperature radiation-hydrodynamics solver for ICF applications A coupled thermal radiative transfer and kinetic plasma solver
Image classification	LeanConvNets: Low-cost Yet Effective Convolutional Neural Networks
image deblurring	An Inner-Outer Iterative Method for Edge Preservation in Image Restoration and Reconstruction
image reconstruction	Iterative Image Reconstruction and Segmentation Using Mesh Adaptation Krylov Methods for Low-Rank Regularization
image registration	INCISIVE DVF INVERSION VIA BI-RESIDUAL FEEDBACK
image segmentation	Iterative Image Reconstruction and Segmentation Using Mesh Adaptation
Imaging Science	Deep Learning Enriched with Fractional Operators
IMEX	Discretization of the Multi-fluid Plasma Model using IMEX and Mixed Continuous/Discontinuous FEM
Implicit Methods	Preconditioning a Fully Implicit Gyrokinetic Electromagnetic Particle-in-Cell Method
implicit runge kutta methods	Block Preconditioning for Implicit Runge-Kutta Methods for Time-Dependent
Implicit-explicit time discretization	Nonlinear Solvers for Two-species Neutrino-matter Equations in Core-Collapse Supernovae Simulations
Incomplete Blurred Image	Image Completion and Blind Deconvolution: Model and Algorithm
Incomplete LU factorization	Smoothing by asynchronous iterations and sparse approximate inverses for fluid dynamics on graphics processing units
incompressible magnetohydrodynamics	A Scalable Approximate Inverse Block Preconditioner for an Incompressible Magnetohydrodynamics Model Problem
indefinite systems	Robust and Efficient Multilevel-ILU Preconditioning of Newton-GMRES with Applications to Navier-Stokes Equations
Indefiniteness	Scalable convergence using two-level deflation preconditioning for the Helmholtz equation
integral functional	BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
interior penalty	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems
interpolation	Expressing AMG Interpolation in Terms of Sparse Matrix-Matrix Multiplications
inverse problem	CALIBRATING SENSING DRIFT IN TOMOGRAPHIC INVERSION An efficient solver for nonlinear Bayesian inverse problems Iterative Image Reconstruction and Segmentation Using Mesh Adaptation
Inverse problems	Low-rank plus sparse matrices: ill-posedness and guaranteed recovery
Inversion	Hyper-Differential Sensitivity Analysis for Inverse Problems.
Isogeometric Analysis	Deflated p-multigrid solvers for Isogeometric Analysis A two level method for isogeometric discretizations
Iterative	Scalable convergence using two-level deflation preconditioning for the Helmholtz equation
iterative eigensolvers	Unconstrained Energy Functional Methods for Massively Parallel Iterative Eigensolvers
iterative inversion	INCISIVE DVF INVERSION VIA BI-RESIDUAL FEEDBACK
iterative method	Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media
iterative methods	xSDK: Toward a Community Software Development Kit (SDK) for High-Performance Computational Science Coarse Grid Selection using Simulated Annealing Optimizing parameters of iterative methods with stochastic optimization Hybrid Iterative Refined Methods for Symmetric Eigenvalue Problems BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
iterative methods and algorithms	Future of Computing – How May Iterative Methods Exploit Future Technology Directions
iterative refinement	Progressive three-precision multigrid solvers
iterative reweighting	An Inner-Outer Iterative Method for Edge Preservation in Image Restoration and Reconstruction
iterative solver	A scalable semi-implicit barotropic mode solver for the MPAS-Ocean A parallel multigrid technique for nonsymmetric elliptic systems with application to variable-density flows
iterative solvers	Improving Hypre's semi-structured support Redundancy as a Remedy for Delayed Communication in Asynchronous Solvers Iterative Solution Methods for Nonnegative Matrix Factorizations
Iterative solvers in data science and engineering	Low-rank plus sparse matrices: ill-posedness and guaranteed recovery
J
Jacobi method	Redundancy as a Remedy for Delayed Communication in Asynchronous Solvers
Jacobian-free Newton-Krylov	An implicit approach to phase field modeling of solidification for metals and alloys
JFNK	Scalable implicit, adaptive MFEM-based solvers for reduced resistive MHD
Jinchao Xu	Multigrid Methods and Convolutional Neural Network
K
K-cycle	Nesterov Accelerated Multigrid Method
Kinetic	Preconditioning a Fully Implicit Gyrokinetic Electromagnetic Particle-in-Cell Method
Kinetic equation	Nonlinear Solvers for Two-species Neutrino-matter Equations in Core-Collapse Supernovae Simulations
Kinetic equations	A new implicit Eulerian solver for semiconductor models Multilevel Monte Carlo with improved correlation for kinetic equations in the diffusive scaling
Kirchhoff rod theory	Parallel-in-time simulation of biofluids
Kokkos	Multicolor Block Gauss-Seidel using Kokkos
Kolmogorov Equations	A Discrete-time Cancer Immunotherapy Model under the Kolmogorov Equation View and the Reaction-Diffusion Model
Kronecker product	Krylov Methods for Low-Rank Regularization
Krylov	Delayed Re-Orthogonalization to Achieve One-Synch Classical Gram-Schmidt Applied to GMRES and Krylov-Schur Algorithms
Krylov methods	Krylov Methods for Low-Rank Regularization
Krylov subspace method	Sharp 2-norm Error Bounds for the Conjugate Gradient Method and LSQR
Krylov subspace methods	An Inner-Outer Iterative Method for Edge Preservation in Image Restoration and Reconstruction An element-based preconditioner for mixed finite element problems Preconditioning Enlarged Krylov Subspace Methods Enhanced Relaxed Physical Factorization Preconditioner for Three-Field Poroelasticity Band-Toeplitz preconditioners for nonsymmetric ill-conditioned Toeplitz systems Predict-and-recompute Conjugate Gradient Variants
L
Lagrangian radiation-hydrodynamics	Multimaterial, three temperature radiation-hydrodynamics solver for ICF applications
Lanczos biorthogonalization process	BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
large-scale computing	xSDK: Toward a Community Software Development Kit (SDK) for High-Performance Computational Science
Large-scale optimization	A Projected Newton-Krylov Method for Large-Scale Bound-Constrained Optimization Problems
layer-parallel training	Layer-Parallel Training and Multilevel Initialization for Deep Residual Neural Networks
Least Squares	Towards Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint
least-norm subproblems	BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
least-squares	A new quasi-Newton method for a black-box system with a physics-based surrogate
Least-Squares Finite Element Method	An Adaptive Newton Div-Curl Least-Squares Finite Element Method for the Cahn-Hilliard Equation
legacy	Robust Structured Multigrid on GPUs: Leveraging legacy kernels in the Cedar Framework
LFA	A two level method for isogeometric discretizations
lightweight CNNs	LeanConvNets: Low-cost Yet Effective Convolutional Neural Networks
line relaxation	Algebraicly generated line relaxation for algebraic multigrid domain decomposition
linear algebra	Quantum Computing From a Linear Algebra Perspective Quantum state verification in linear algebra problems Quantum algorithm for simulating the wave equation
linear solvers	Dynamic Non-Uniform Randomization in Asynchronous Linear Solvers Algebraic Multigrid for Highly Convective Flow Simulations
Linear System	A Multilevel Subgraph Preconditioner for Linear Equations in Graph Laplacians
linear systems	Redundancy as a Remedy for Delayed Communication in Asynchronous Solvers Eigenstate filtering with application to quantum linear systems High-precision quantum algorithms for ODEs and PDEs High-precision quantum algorithms for partial differential equations
Linear systems of equations	Quantum algorithm for linear systems and applications to plasma dynamics
LMFG	Iterative Methods for Thermal Radiation Transport with Multiple Preconditioners
low precision	Low-precision orthogonalization in eigensolvers
Low Rank Approximation	Low-Rank Stopping Criteria for Block Parallel SVD Randomized Iterative Methods for Low Rank Matrix Approximation
Low-rank plus sparse matrix	Low-rank plus sparse matrices: ill-posedness and guaranteed recovery
low-rank solver	Krylov Methods for Low-Rank Regularization
low-rank tensor approximation	A Low-Rank Solver for the Unsteady Navier-Stokes Equations
LSQR	Sharp 2-norm Error Bounds for the Conjugate Gradient Method and LSQR
M
machine learning	Generative adversarial networks and iterative methods GMLS-Nets: a convolutional neural network architecture for unstructured point-cloud data Optimizing parameters of iterative methods with stochastic optimization Towards Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint Improving linear solver performance using machine learning
Machine Learning (ML)	Future of Computing – How May Iterative Methods Exploit Future Technology Directions
MagmaDNN	Asynchronous SGD for Training DNNs
magnetohydrodynamics	On the robust discretization and fast solver for the H(curl) and H(div) convection-diffusion problems Block preconditoning strategy for reduced magnetohydrodynamic (RMHD) equations
Markov-type functions	A single-pole rational Krylov subspace method for approximating Markov functions of matrices
materials science	Unconstrained Energy Functional Methods for Massively Parallel Iterative Eigensolvers
Matrix approximation	Randomized Iterative Methods for Low Rank Matrix Approximation
matrix column subset selection	Error Analysis of Mixed Precision Algorithms for Computing Matrix Interpolative Decompositions
Matrix completion	Low-rank plus sparse matrices: ill-posedness and guaranteed recovery Image Completion and Blind Deconvolution: Model and Algorithm
Matrix Decomposition	Unitary Matrix Decompositions for Quantum Circuit Synthesis
matrix equation	A low-rank matrix equation method for solving PDE-constrained optimization problems
matrix interpolative decomposition	Error Analysis of Mixed Precision Algorithms for Computing Matrix Interpolative Decompositions
matrix-free	Efficient low-order refined solvers for high-order matrix-free continuous and discontinuous Galerkin methods Matrix-free preconditioning for high-order finite elements
Maxwell's Equations	A New Solver for Coupling Maxwell's Equations to Transmission Lines A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations
MCMC	An efficient solver for nonlinear Bayesian inverse problems
mesh adaptation	Iterative Image Reconstruction and Segmentation Using Mesh Adaptation
MGRIT	Optimizing MGRIT and Parareal coarse-grid operators for linear advection
MHD	Scalable implicit, adaptive MFEM-based solvers for reduced resistive MHD
Mimetic Finite Differences	A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations
mixed finite element	Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media
Mixed finite elements	New mixed methods for incompressible hyperelasticiy in terms of Kirchhoff stress
mixed method	Multigrid in H(div) on Axisymmetric Domains
mixed precision	Progressive three-precision multigrid solvers Mixed-Precision Arithmetic for Graph Clustering and Graph Ranking Error Analysis of Mixed Precision Algorithms for Computing Matrix Interpolative Decompositions
Mixed-dimensional Models	Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media
Mixed-Precision Arithmetic	Newton's Method in Mixed Precision
Mollifier	A Hybrid Approach for Image Reconstruction in Electrical Impedance Tomography
Monolithic formulation	Interface Flux Recovery Coupling Method for the Ocean-Atmosphere System
Monte Carlo	Domain Decomposed Monte Carlo Transport on GPUs in Shift Data motion analysis for Implicit Monte Carlo on CPUs and GPUs
Moreau-Yosida regularization	Fractional Optimal Control Problems with State Constraints: Algorithm and Analysis
mortar methods	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems
multi-fluid plasma	Discretization of the Multi-fluid Plasma Model using IMEX and Mixed Continuous/Discontinuous FEM
multi-tasking learning	Multi-tasking deep learning models for predictions of total energy of solid solution alloys
Multifluid Plasmas	Scalable Block Preconditioning of Implicit / IMEX FE Continuum Plasma Physics Models
multigrid	Progressive three-precision multigrid solvers Algebraic Multigrid Methods for Large-Scale Electromagnetic Particle-in-Cell Simulations Developing Work-Optimal Multilevel Methods Robust Structured Multigrid on GPUs: Leveraging legacy kernels in the Cedar Framework MueLu's SA-AMG implementation and performance on GPUs A Multilevel Subgraph Preconditioner for Linear Equations in Graph Laplacians Recent Development of Multigrid Solvers in HYPRE on Modern Heterogeneous Computing Platforms Layer-Parallel Training and Multilevel Initialization for Deep Residual Neural Networks Nonlinear and Linear Agglomeration Multigrid Methods for Reynolds-averaged Navier-Stokes Problems in Aerodynamics Monolithic Multigrid for a Stabilized Discretization of the Poroelastic Equations Algebraic Multigrid for Highly Convective Flow Simulations A Fast Solver for the Fractional Helmholtz Equation Smoothing by asynchronous iterations and sparse approximate inverses for fluid dynamics on graphics processing units Improving linear solver performance using machine learning A parallel multigrid technique for nonsymmetric elliptic systems with application to variable-density flows Spectral-based fast solvers for finite volume discretizations of a conservative fractional diffusion problem Nesterov Accelerated Multigrid Method Multigrid in H(div) on Axisymmetric Domains An h-multigrid method for Hybrid High-Order discretizations Optimizing MGRIT and Parareal coarse-grid operators for linear advection
Multigrid methods	Improving Hypre's semi-structured support
multigrid smoothers	Non-overlapping block smoothers for the Stokes equations
Multigroup neutron transport equations	Scalable multilevel domain decomposition methods with SG coarse spaces for the multigroup neutron transport equations
multilevel	A two level method for isogeometric discretizations
Multilevel additive Schwarz	Additive Schwarz Preconditioners for a Localized Orthogonal Decomposition Method
multilevel ILU preconditioner	Robust and Efficient Multilevel-ILU Preconditioning of Newton-GMRES with Applications to Navier-Stokes Equations
multilevel minimization	Multilevel training of deep residual networks
Multilevel Monte Carlo	Multilevel Monte Carlo with improved correlation for kinetic equations in the diffusive scaling
multiphase flow	A Multigrid Reduction Framework for Flow in Porous and Fractured Media
multiphysics coupling	A coupled thermal radiative transfer and kinetic plasma solver
multiscale methods	Multiscale preconditioning for coupled porous media flow and geomechanics on unstructured grids
multiscale preconditioner	A moment-accelerated iterative implicit solver for the multispecies 1D-2V Vlasov-Fokker-Planck – Ampère kinetic equation
Multiscale problems	Additive Schwarz Preconditioners for a Localized Orthogonal Decomposition Method
N
navier-stokes	Block Preconditioning for Implicit Runge-Kutta Methods for Time-Dependent
Navier-Stokes equations	Robust and Efficient Multilevel-ILU Preconditioning of Newton-GMRES with Applications to Navier-Stokes Equations
Navier–Stokes	A Low-Rank Solver for the Unsteady Navier-Stokes Equations
Nesterov acceleration	Optimal Asymptotic Convergence Rates for Nesterov and Anderson Acceleration with Application to Tensor Decomposition Nesterov Accelerated Multigrid Method
neural networks	Multi-tasking deep learning models for predictions of total energy of solid solution alloys
neurons	Future of Computing – How May Iterative Methods Exploit Future Technology Directions
Neutrino transport equation	Nonlinear Solvers for Two-species Neutrino-matter Equations in Core-Collapse Supernovae Simulations
Newton's Method	Nonlinear Solvers for Two-species Neutrino-matter Equations in Core-Collapse Supernovae Simulations Newton's Method in Mixed Precision
Newton-based methods	Regularized Non-linear Least-Squares Unconstrained Minimization Method for High-order Finite-Element Implicit Shock-Fitting in Space-Time
Newton-GMRES	Robust and Efficient Multilevel-ILU Preconditioning of Newton-GMRES with Applications to Navier-Stokes Equations
Newton-Krylov	Nonlinear and Linear Agglomeration Multigrid Methods for Reynolds-averaged Navier-Stokes Problems in Aerodynamics Simulating Multi-Species Compressible Flow with a Fully-Implicit All-Speed Flow Solver
Newton-Krylov methods	A Projected Newton-Krylov Method for Large-Scale Bound-Constrained Optimization Problems
Newton’s method	INCISIVE DVF INVERSION VIA BI-RESIDUAL FEEDBACK
Non-normal	Scalable convergence using two-level deflation preconditioning for the Helmholtz equation
Nonlinear Coupled PDFs	Data motion analysis for Implicit Monte Carlo on CPUs and GPUs
nonlinear eigenvalue problems	A Rational Approximation Method for Large-Scale Nonlinear Eigenvalue Problems
Nonlinear elasticity	New mixed methods for incompressible hyperelasticiy in terms of Kirchhoff stress
Nonlinear iterative solvers	Nonlinear Solvers for Two-species Neutrino-matter Equations in Core-Collapse Supernovae Simulations
Nonlinear Partial Differential Equation	An Adaptive Newton Div-Curl Least-Squares Finite Element Method for the Cahn-Hilliard Equation
Nonlinear solvers and coupling methods in climate modeling	Initialization of the thermo-mechanical state of an ice sheet model using PDE-constrained optimization
Nonlocal Operators	Deep Learning Enriched with Fractional Operators
nonnegative matrix factorization	Iterative Solution Methods for Nonnegative Matrix Factorizations
nonsym AMG	Discretization of the Multi-fluid Plasma Model using IMEX and Mixed Continuous/Discontinuous FEM Incompressible Navier-Stokes with Two-Stage Gauss-Seidel Smoothers for FGMRES-AMG
nonsymmetric	Algebraic Multigrid for Highly Convective Flow Simulations
nuclear norm regularization	Krylov Methods for Low-Rank Regularization
null space	A Scalable Approximate Inverse Block Preconditioner for an Incompressible Magnetohydrodynamics Model Problem
Numerical algorithms	Predict-and-recompute Conjugate Gradient Variants
Numerical Optimization	Energy Function Approach to the Time-Varying Optimal Gas Flow
O
ocean model	A scalable semi-implicit barotropic mode solver for the MPAS-Ocean
Ocean-atmosphere coupling	Interface Flux Recovery Coupling Method for the Ocean-Atmosphere System
one-reduce FGMRES	One-Reduce FGMRES-AMG with Two-Stage Gauss-Seidel Smoothers on GPU
One-sided communication	Leveraging One-Sided Communication for Sparse Triangular Solvers
One-synch FGMRES	Incompressible Navier-Stokes with Two-Stage Gauss-Seidel Smoothers for FGMRES-AMG
Optimal control	Fractional Optimal Control Problems with State Constraints: Algorithm and Analysis Deep Learning Enriched with Fractional Operators
optimal-control problem	Multilevel training of deep residual networks
optimization	Developing Work-Optimal Multilevel Methods Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms Exploiting Sparsity in the Estimation of Gaussian Mixture Models
Optimization problem	Nesterov Accelerated Multigrid Method
optimization under uncertainty	An Approximation Scheme For Distributionally Robust Nonlinear PDE-Constrained Optimization
Optimized Schwarz Methods	On appropriate coarse spaces for asynchronous Optimized Schwarz Method
orthogonal tridiagonalization process	BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
orthogonalization	Low-precision orthogonalization in eigensolvers
other	Incompressible Navier-Stokes with Two-Stage Gauss-Seidel Smoothers for FGMRES-AMG
P
p-multigrid	p-Multigrid with Partial Smoothing: An Efficient Preconditioner for Discontinuous Galerkin Discretizations with Modal Bases
p-multigrid methods	Deflated p-multigrid solvers for Isogeometric Analysis
Parallel algorithms	Predict-and-recompute Conjugate Gradient Variants
Parallel Computation
parallel computing	Unconstrained Energy Functional Methods for Massively Parallel Iterative Eigensolvers Parallel spectral partitioning on multiple GPUs Practical Considerations for Polynomial Preconditioned GMRES SSAI: A symmetric sparse approximate inverse preconditioner for the conjugate gradient methods PCG and PCGLS
Parallel processing	Scalable multilevel domain decomposition methods with SG coarse spaces for the multigroup neutron transport equations Delayed Re-Orthogonalization to Achieve One-Synch Classical Gram-Schmidt Applied to GMRES and Krylov-Schur Algorithms
parallel Schwarz iterations	Analysis of parallel Schwarz solvers for time-harmonic wave propagation problems
parallel-in-time	Layer-Parallel Training and Multilevel Initialization for Deep Residual Neural Networks Optimizing MGRIT and Parareal coarse-grid operators for linear advection
parallelism	On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic
parameter choice strategies	An Inner-Outer Iterative Method for Edge Preservation in Image Restoration and Reconstruction
parameter-uniform convergence	A System of Semilinear Singularly Perturbed Convection-Diffusion type
Parareal	Parallel-in-time simulation of biofluids Optimizing MGRIT and Parareal coarse-grid operators for linear advection
partial differential equations	High-precision quantum algorithms for ODEs and PDEs Quantum algorithm for simulating the wave equation An h-multigrid method for Hybrid High-Order discretizations High-precision quantum algorithms for partial differential equations
Partially structured problems	Improving Hypre's semi-structured support
Particle Methods	Multilevel Monte Carlo with improved correlation for kinetic equations in the diffusive scaling
Particle-in-Cell	Preconditioning a Fully Implicit Gyrokinetic Electromagnetic Particle-in-Cell Method An iterative particle-in-cell scheme for the hybrid plasma model using physics-based preconditioning
particle-laden turbulence
partitioning	Parallel spectral partitioning on multiple GPUs
PCG	SSAI: A symmetric sparse approximate inverse preconditioner for the conjugate gradient methods PCG and PCGLS
PCGLS	SSAI: A symmetric sparse approximate inverse preconditioner for the conjugate gradient methods PCG and PCGLS
PDE constrained optimization	An ADMM-based time domain decomposition approach for PDE constrained optimization
PDE constraints	An Approximation Scheme For Distributionally Robust Nonlinear PDE-Constrained Optimization
PDE discovery	GMLS-Nets: a convolutional neural network architecture for unstructured point-cloud data
PDE-constrained optimization	Algebraic Multigrid Preconditioning for PDE-constrained Optimization A low-rank matrix equation method for solving PDE-constrained optimization problems
PDEs	Hyper-Differential Sensitivity Analysis for Inverse Problems.
performance	Algebraic Multigrid Methods for Large-Scale Electromagnetic Particle-in-Cell Simulations
Periodicity-preserving approximation	Sparse trigonometric interpolation with applications to computational chemistry
phase field	An implicit approach to phase field modeling of solidification for metals and alloys
Physics-based block preconditioner	A solution strategy for fluid-structure interaction using the unified continuum formulation, quasi-direct coupling, and nested block preconditioning
Physics-Based Preconditioning	Preconditioning a Fully Implicit Gyrokinetic Electromagnetic Particle-in-Cell Method An implicit approach to phase field modeling of solidification for metals and alloys
Plasma	An iterative particle-in-cell scheme for the hybrid plasma model using physics-based preconditioning
Plasma dynamics	Quantum algorithm for linear systems and applications to plasma dynamics
plasma physics	Preconditioning a Fully Implicit Gyrokinetic Electromagnetic Particle-in-Cell Method Finite Element Tools for Performance Portability of Implicit and IMEX Simulations on Next Generation Architectures A coupled thermal radiative transfer and kinetic plasma solver
Plasma Simulation	A New Solver for Coupling Maxwell's Equations to Transmission Lines
Poisson's equation	A parallel multigrid technique for nonsymmetric elliptic systems with application to variable-density flows
polynomial preconditioning	Practical Considerations for Polynomial Preconditioned GMRES
pore-scale flow	p-Multigrid with Partial Smoothing: An Efficient Preconditioner for Discontinuous Galerkin Discretizations with Modal Bases
Poroelasticity	Preconditioning for a Stabilized Mixed-Hybrid Formulation of Biot’s Poroelasticity Equations Monolithic Multigrid for a Stabilized Discretization of the Poroelastic Equations
Poromechanics	Enhanced Relaxed Physical Factorization Preconditioner for Three-Field Poroelasticity
porous media	A Multigrid Reduction Framework for Flow in Porous and Fractured Media
porous medium	Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media
portability	Expressing AMG Interpolation in Terms of Sparse Matrix-Matrix Multiplications
Positive Definite	WaveHoltz an Iterative Solver for the Helmholtz Equation via the Wave Equation. Part 1: Theoretical Aspects. WaveHoltz an Iterative Solver for the Helmholtz Equation via the Wave Equation. Part 2: Experiments, implementation and extensions.
Preconditioner	Multicolor Block Gauss-Seidel using Kokkos Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media
Preconditioners for Multiphysics problems	Scalable Block Preconditioning of Implicit / IMEX FE Continuum Plasma Physics Models Robust Preconditioners for Mixed-dimensional Models of Flow in Fractured Porous Media An iterative particle-in-cell scheme for the hybrid plasma model using physics-based preconditioning Monolithic Multigrid for a Stabilized Discretization of the Poroelastic Equations Scalable implicit, adaptive MFEM-based solvers for reduced resistive MHD An element-based preconditioner for mixed finite element problems
preconditioning	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems Multiscale preconditioning for coupled porous media flow and geomechanics on unstructured grids Iterative Methods for Thermal Radiation Transport with Multiple Preconditioners Block Preconditioning for Implicit Runge-Kutta Methods for Time-Dependent An efficient solver for nonlinear Bayesian inverse problems Preconditioning for a Stabilized Mixed-Hybrid Formulation of Biot’s Poroelasticity Equations An element-based preconditioner for mixed finite element problems Simulating Multi-Species Compressible Flow with a Fully-Implicit All-Speed Flow Solver Preconditioners based on enhanced structured incomplete factorization (eSIF) for general SPD matrices Preconditioning Enlarged Krylov Subspace Methods SSAI: A symmetric sparse approximate inverse preconditioner for the conjugate gradient methods PCG and PCGLS Enhanced Relaxed Physical Factorization Preconditioner for Three-Field Poroelasticity
Primal-Dual	Primal-Dual Weak Galerkin Finite Element Methods for First-Order Transport Problems
Projected Newton methods	A Projected Newton-Krylov Method for Large-Scale Bound-Constrained Optimization Problems
Projection method	A single-pole rational Krylov subspace method for approximating Markov functions of matrices
Proximal Alternating Minimization	Image Completion and Blind Deconvolution: Model and Algorithm
Q
Quantum adiabatic computing	Eigenstate filtering with application to quantum linear systems
Quantum algorithm	Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm
quantum algorithms	Variational quantum algorithms running on quantum supreme chips Quantum state verification in linear algebra problems High-precision quantum algorithms for ODEs and PDEs Quantum algorithm for linear systems and applications to plasma dynamics Quantum algorithm for simulating the wave equation High-precision quantum algorithms for partial differential equations
Quantum Circuit Synthesis	Unitary Matrix Decompositions for Quantum Circuit Synthesis
Quantum Compiling	Unitary Matrix Decompositions for Quantum Circuit Synthesis
Quantum computation	Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm
quantum computing	Variational quantum algorithms running on quantum supreme chips Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms Quantum Computing From a Linear Algebra Perspective Quantum state verification in linear algebra problems Quantum primitives and quantum linear algebra
Quantum linear algebra	Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm Quantum primitives and quantum linear algebra
Quantum linear systems	Quantum primitives and quantum linear algebra
Quantum signal processing	Eigenstate filtering with application to quantum linear systems
quantum simulation	Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms
Quantum Zeno effect	Eigenstate filtering with application to quantum linear systems
quasi-minimal error method	BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
quasi-Newton	A new quasi-Newton method for a black-box system with a physics-based surrogate Randomized Iterative Methods for Low Rank Matrix Approximation
qubits	Future of Computing – How May Iterative Methods Exploit Future Technology Directions
R
Radiation Transport	Domain Decomposed Monte Carlo Transport on GPUs in Shift
random fields	Generation of compressed stationary fields with circulant embedding
Randomized algorithms	Randomized Iterative Methods for Low Rank Matrix Approximation
randomized linear algebra	Dynamic Non-Uniform Randomization in Asynchronous Linear Solvers
rank reduction	Generation of compressed stationary fields with circulant embedding
rational approximation	A Rational Approximation Method for Large-Scale Nonlinear Eigenvalue Problems
rational Krylov subspace	A low-rank matrix equation method for solving PDE-constrained optimization problems A single-pole rational Krylov subspace method for approximating Markov functions of matrices
Reaction-Diffusion	A Discrete-time Cancer Immunotherapy Model under the Kolmogorov Equation View and the Reaction-Diffusion Model
real-valued circulant matrix	Generation of compressed stationary fields with circulant embedding
Recycling Krylov subspaces	Deflation and preconditioning strategies for sequences of sampled stochastic elliptic equations
reduced order modeling
Refined Ritz	Hybrid Iterative Refined Methods for Symmetric Eigenvalue Problems
Regularization	A Hybrid Approach for Image Reconstruction in Electrical Impedance Tomography Regularized Non-linear Least-Squares Unconstrained Minimization Method for High-order Finite-Element Implicit Shock-Fitting in Space-Time
Regularized Stokeslet	Parallel-in-time simulation of biofluids
remap	Meshless Remap of Native Fields for Earth System Models via Generalized Moving Least Squares
Residual Neural Network	Deep Learning Enriched with Fractional Operators
robust	Robust Structured Multigrid on GPUs: Leveraging legacy kernels in the Cedar Framework
Robust & scalable iterative solution of coupled multi-physics problems	Nonlinear Solvers for Two-species Neutrino-matter Equations in Core-Collapse Supernovae Simulations
Robust PCA	Low-rank plus sparse matrices: ill-posedness and guaranteed recovery
robust solver	A two level method for isogeometric discretizations
robustness	Preconditioners based on enhanced structured incomplete factorization (eSIF) for general SPD matrices A GenEO coarse space for solving the heterogeneous Helmholtz equation with domain decomposition methods
roundoff error	Progressive three-precision multigrid solvers
S
Saddle point problems	Block preconditioners for the the coupled Darcy-Stokes problem
saddle-point linear systems	A Scalable Approximate Inverse Block Preconditioner for an Incompressible Magnetohydrodynamics Model Problem An element-based preconditioner for mixed finite element problems
Scalable iterative solutions	Simulating Multi-Species Compressible Flow with a Fully-Implicit All-Speed Flow Solver
scalable preconditioner	A scalable semi-implicit barotropic mode solver for the MPAS-Ocean
Schur	Delayed Re-Orthogonalization to Achieve One-Synch Classical Gram-Schmidt Applied to GMRES and Krylov-Schur Algorithms
Schur complement	Interface Flux Recovery Coupling Method for the Ocean-Atmosphere System
Schur complement reduction	A solution strategy for fluid-structure interaction using the unified continuum formulation, quasi-direct coupling, and nested block preconditioning
Schwarz multiplicative methods	A two level method for isogeometric discretizations
Scientific Computing	FROSch - A framework for parallel Schwarz preconditioners in Trilinos
scientific machine learning	Machine Learning in adaptive domain decomposition methods-- predicting the geometric location of constraints
scientific software	xSDK: Toward a Community Software Development Kit (SDK) for High-Performance Computational Science
semantic segmentation	LeanConvNets: Low-cost Yet Effective Convolutional Neural Networks
semi-implicit solver	A scalable semi-implicit barotropic mode solver for the MPAS-Ocean
Semiconductor models	A new implicit Eulerian solver for semiconductor models
Semilinear system	A System of Semilinear Singularly Perturbed Convection-Diffusion type
sensitivities	Hyper-Differential Sensitivity Analysis for Inverse Problems.
sensitivity analysis	Analysis of the sensitivity of output wave height to input bottom friction and bathymetry in the coastal wave model STWAVE
simulated annealing	Coarse Grid Selection using Simulated Annealing
single precision	Error Analysis of Mixed Precision Algorithms for Computing Matrix Interpolative Decompositions
Single-component grid based coarse spaces	Scalable multilevel domain decomposition methods with SG coarse spaces for the multigroup neutron transport equations
singular linear equations	Singular Systems along with Eigenvalues and Singular Values
singular perturbation problems	A System of Semilinear Singularly Perturbed Convection-Diffusion type
Singular Value Decomposition	HiSVD: A Hybrid Incremental SVD Method for Streaming Large, Sparse Matrices Low-Rank Stopping Criteria for Block Parallel SVD
singular value/eigenvalue distribution	Band-Toeplitz preconditioners for nonsymmetric ill-conditioned Toeplitz systems
singular values	Singular Systems along with Eigenvalues and Singular Values
singularly perturbed equations	Peclet-robust preconditioners for singularly perturbed convection-diffusion equations
Smoothed-Aggregation	MueLu's SA-AMG implementation and performance on GPUs
smoothing methods	An Approximation Scheme For Distributionally Robust Nonlinear PDE-Constrained Optimization
solid solution alloys	Multi-tasking deep learning models for predictions of total energy of solid solution alloys
Source iteration	A new implicit Eulerian solver for semiconductor models
Space-time	Regularized Non-linear Least-Squares Unconstrained Minimization Method for High-order Finite-Element Implicit Shock-Fitting in Space-Time Adaptive Space-Time CFOSLS for Evolution Equations
SPAI	SSAI: A symmetric sparse approximate inverse preconditioner for the conjugate gradient methods PCG and PCGLS
Spanning Subgraph Preconditioner	A Multilevel Subgraph Preconditioner for Linear Equations in Graph Laplacians
spanning tree	Computing a posteriori error estimates for algebraic multigrid methods on graphs
Sparse approximate inverse	Smoothing by asynchronous iterations and sparse approximate inverses for fluid dynamics on graphics processing units
Sparse interpolation	Sparse trigonometric interpolation with applications to computational chemistry
sparse matrix	SSAI: A symmetric sparse approximate inverse preconditioner for the conjugate gradient methods PCG and PCGLS
Sparse triangular solver	Leveraging One-Sided Communication for Sparse Triangular Solvers
Sparsity	Exploiting Sparsity in the Estimation of Gaussian Mixture Models
SPD matrices	Preconditioners based on enhanced structured incomplete factorization (eSIF) for general SPD matrices
spectral fractional Laplacian	A Fast Solver for the Fractional Helmholtz Equation
spectral method	High-precision quantum algorithms for ODEs and PDEs
spectral Schur complement	Domain decomposition Rayleigh-Ritz approaches for symmetric generalized eigenvalue problems
spectral study	Spectral-based fast solvers for finite volume discretizations of a conservative fractional diffusion problem
State and control constraints	Fractional Optimal Control Problems with State Constraints: Algorithm and Analysis
static condensation	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems An h-multigrid method for Hybrid High-Order discretizations
Statistical inference	Exploiting Sparsity in the Estimation of Gaussian Mixture Models
steady-state	Spectral-based fast solvers for finite volume discretizations of a conservative fractional diffusion problem
stochastic Galerkin	A Low-Rank Solver for the Unsteady Navier-Stokes Equations
Stochastic Gradient Descent Methods	Asynchronous SGD for Training DNNs
stochastic optimization	Optimizing parameters of iterative methods with stochastic optimization
Stochastic PDEs	Deflation and preconditioning strategies for sequences of sampled stochastic elliptic equations
Stokes equations	Non-overlapping block smoothers for the Stokes equations
Stopping Criteria	Sharp 2-norm Error Bounds for the Conjugate Gradient Method and LSQR Low-Rank Stopping Criteria for Block Parallel SVD
streaming	HiSVD: A Hybrid Incremental SVD Method for Streaming Large, Sparse Matrices
structured	Robust Structured Multigrid on GPUs: Leveraging legacy kernels in the Cedar Framework
Structured incomplete factorization	Preconditioners based on enhanced structured incomplete factorization (eSIF) for general SPD matrices
Sub-sampled	Randomized Iterative Methods for Low Rank Matrix Approximation
subsurface flow	Multiscale preconditioning for coupled porous media flow and geomechanics on unstructured grids
Support Theory	A Multilevel Subgraph Preconditioner for Linear Equations in Graph Laplacians
surface PDEs	Recurrent use of AL preconditioner for fluid equations on manifolds.
surrogate model	A new quasi-Newton method for a black-box system with a physics-based surrogate
surrogate modeling	Efficient Training of Neural Network Surrogate Methods with Variable Projection
SVD	Computing Generalized Matrix Functions with Singular Value Estimation
SVD solver	HiSVD: A Hybrid Incremental SVD Method for Streaming Large, Sparse Matrices
Symmetric generalized eigenvalue problem	Domain decomposition Rayleigh-Ritz approaches for symmetric generalized eigenvalue problems
systems of partial differential equations	Non-overlapping block smoothers for the Stokes equations
T
tensors	Quantum Computing From a Linear Algebra Perspective
thermal radiation transport (TRT)	Iterative Methods for Thermal Radiation Transport with Multiple Preconditioners
Thermal radiative transfer	A coupled thermal radiative transfer and kinetic plasma solver
Thermo-mechanical coupling	Initialization of the thermo-mechanical state of an ice sheet model using PDE-constrained optimization
time-dependent	A Low-Rank Solver for the Unsteady Navier-Stokes Equations
time-domain decomposition	An ADMM-based time domain decomposition approach for PDE constrained optimization
time-harmonic problems	Analysis of parallel Schwarz solvers for time-harmonic wave propagation problems
Title	Multigrid Methods and Convolutional Neural Network
toeplitz	Spectral-based fast solvers for finite volume discretizations of a conservative fractional diffusion problem
Toeplitz/Hankel matrices	Band-Toeplitz preconditioners for nonsymmetric ill-conditioned Toeplitz systems
Tomographic Reconstruction	Deep Learning Enriched with Fractional Operators
tomography	CALIBRATING SENSING DRIFT IN TOMOGRAPHIC INVERSION An Inner-Outer Iterative Method for Edge Preservation in Image Restoration and Reconstruction
Training	Towards Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint
Transient Gas Flow	Energy Function Approach to the Time-Varying Optimal Gas Flow
Transmission conditions	High Performance Domain Decomposition Method for 3D Electromagnetic simulations
Transmission Lines	A New Solver for Coupling Maxwell's Equations to Transmission Lines
transport	Nonsymmetric block preconditioners and heterogeneous DSA, compatible with voids
Transport and Nuclear Applications	Iterative Methods for Thermal Radiation Transport with Multiple Preconditioners Domain Decomposed Monte Carlo Transport on GPUs in Shift Data motion analysis for Implicit Monte Carlo on CPUs and GPUs Multimaterial, three temperature radiation-hydrodynamics solver for ICF applications
Two-level	A two level method for isogeometric discretizations
Two-stage Gauss-Seidel	One-Reduce FGMRES-AMG with Two-Stage Gauss-Seidel Smoothers on GPU
U
uncertainty quantification	Analysis of the sensitivity of output wave height to input bottom friction and bathymetry in the coastal wave model STWAVE Generation of compressed stationary fields with circulant embedding An efficient solver for nonlinear Bayesian inverse problems Deflation and preconditioning strategies for sequences of sampled stochastic elliptic equations
Unconstrained Minimization	Regularized Non-linear Least-Squares Unconstrained Minimization Method for High-order Finite-Element Implicit Shock-Fitting in Space-Time
Unitary Matrix	Unitary Matrix Decompositions for Quantum Circuit Synthesis
unitary transformation	Quantum Computing From a Linear Algebra Perspective
Unsmoothed Aggregation	Finding AMG aggregates in a haystack: from maximum product matching to scalable solvers
upwind finite element	On the robust discretization and fast solver for the H(curl) and H(div) convection-diffusion problems
V
variable projection	Efficient Training of Neural Network Surrogate Methods with Variable Projection
Variational Algorithms	Variational quantum algorithms running on quantum supreme chips Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms
VFP-Ampére	A moment-accelerated iterative implicit solver for the multispecies 1D-2V Vlasov-Fokker-Planck – Ampère kinetic equation
W
Wave equation	WaveHoltz an Iterative Solver for the Helmholtz Equation via the Wave Equation. Part 1: Theoretical Aspects. WaveHoltz an Iterative Solver for the Helmholtz Equation via the Wave Equation. Part 2: Experiments, implementation and extensions. Quantum algorithm for simulating the wave equation
wave number independence	A GenEO coarse space for solving the heterogeneous Helmholtz equation with domain decomposition methods
Weak Galerkin	Primal-Dual Weak Galerkin Finite Element Methods for First-Order Transport Problems
Weighted least squares	Overcoming Gibbs Phenomenon in Data Remap and Convection-Dominant PDEs using WLS-ENO Techniques
WLS-ENO schemes	Overcoming Gibbs Phenomenon in Data Remap and Convection-Dominant PDEs using WLS-ENO Techniques
Z
zfp	Compressibility Constraints for Adaptive Rate ZFP Compression in Iterative Methods

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