CM2024: 18TH COPPER MOUNTAIN CONFERENCE ON ITERATIVE METHODS

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

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- machine learning	A Multilevel Method for Self-Concordant Minimization
- multilevel methods	A Multilevel Method for Self-Concordant Minimization
- randomized Newton method	A Multilevel Method for Self-Concordant Minimization
- self-concordant functions	A Multilevel Method for Self-Concordant Minimization
- unconstrained convex optimization	A Multilevel Method for Self-Concordant Minimization
3
3D Helmholtz Equation	Parallel Compact High-Resolution GMRES-PFFT-Type Algorithms for 3D Stochastic Subsurface Scattering Problems.
A
acceleration method	On the Convergence of CROP-Anderson Acceleration Method
Adaptive Algebraic Multigrid	Adaptive Composite AMG Solvers Utilizing Graph Modularity Coarsening
Adaptive coarse spaces	Robust Schwarz methods for DG Discretization of Highly Heterogeneous Anisotropic Elliptic Problems
Adaptive finite element	A Newton-based Grad-Shafranov solver for tokamak equilibrium
Adaptive Learning	Stochastic Average Model Methods
Adaptive Markov Chain Monte Carlo	Deep learning without global optimization by random Fourier features
Adaptive scheme	Fast iterative solver for neural network method: 1D diffusion problems
Adaptive Time Stepping	A Data Driven, Eigenvalue Based Adaptive Time Stepping Method for Nonlinear Physics Simulation
Adaptivity	Construction of Hierarchically Semi-Separable Matrix Representation using Adaptive Sparse Johnson-Lindenstrauss Sketching
ADMM	Tensor Completion with BMD Factor Nuclear Norm Minimization
algebraic multigrid	Block Smoothers for Algebraic Multigrid Improving Multilevel Monte Carlo Scaling with Level-Dependent Redistribution Semi-structured algebraic multigrid (SSAMG) Toward an algebraic multigrid method for the indefinite Helmholtz equation Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems New Developments in the AMLI-cycle Method
Algebraic Multigrid Methods	Evolving Algebraic Multigrid Methods Using Grammar-Guided Genetic Programming
AMG	An energy minimization approach to H-curl AMG
Anderson acceleration	Convergence Analysis of Alternating Anderson-Picard Method for nonlinear fixed-point Problem Some theoretical results on finite convergence property and temporary stalling behavior of Anderson acceleration on linear systems On the asymptotic convergence of Anderson acceleration for certain linear problems On the Convergence of CROP-Anderson Acceleration Method
Anisotropic coefficients	Robust Schwarz methods for DG Discretization of Highly Heterogeneous Anisotropic Elliptic Problems
ARM architecture	A block preconditioner for resistive MHD simulations
Artificial compressibility method	Online Bayesian Optimization of Polynomial-Multigrid Cycles for Flux Reconstruction
asymptotic convergence	On the asymptotic convergence of Anderson acceleration for certain linear problems
asynchronous	Recent Developments in Asynchronous Linear Solvers for Computing at the Very Edge
automatic differentiation	Jacobian matrix construction for fluid flow problems on GPUs using automatic differentiation
B
Bayesian inference	Faster solution of linear Bayesian smoothing problems using model reduction for ensemble Kalman inversion Tutorial on Machine Learning
Bayesian Optimisation	Online Bayesian Optimization of Polynomial-Multigrid Cycles for Flux Reconstruction
Biot's model	A new decoupled solution method for a novel oscillation-free numerical scheme for Biot's model
Block iterative methods	Block Krylov subspace methods for many Hermitian systems with complex shifts
Block Preconditioner	A block preconditioner for resistive MHD simulations Performance-portable p-multigrid block preconditioning for mixed FE discretizations of nearly incompressible hyperelasticity
block smoother	Block Smoothers for Algebraic Multigrid
Boltzmann equation	Stability Analysis of Two-Level Nonlinear Acceleration Method for the Linear Boltzmann Transport Equation Dynamic and Deterministic Neutron Transport on GPUs using One-cell Inversion Solving 1D-space collisional electron-Boltzamnn transport equation
Boltzmann transport equation	Decoupled Diffusion Synthetic Acceleration for Deterministic Neutral Particle Transport
Burgers equation	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
butterfly algorithm	Fast iterative solvers in tensor butterfly format
C
C++	FleCSI: A Task-Based Framework for HPC
chaos	An Absolutely Convergent Parallel-in-Time Relaxation Method for Chaotic Problems
climate models	Existence and uniqueness analysis of an atmosphere-ocean surface exchange algorithm with applications to global climate models
Coarse-space Functions	Graph Neural Network to Predict Coarse Space Functions for Two-level Domain Decomposition Methods
Column selection	Rank reduction of graph Laplacians via column selection
Communication-Computation Overlapping	Communication-Computation Overlapping for Parallel Multigrid Methods
Compact Schemes	Parallel Compact High-Resolution GMRES-PFFT-Type Algorithms for 3D Stochastic Subsurface Scattering Problems.
compensated sum	Half precision wave simulation
Complex Boundaries	Large scale Scattering using the HINTS
Composite Multilevel Solver	Adaptive Composite AMG Solvers Utilizing Graph Modularity Coarsening
compression	Structure Optimization and Compression Methods for Finite Element Operators
Computational chemistry	Block Krylov subspace methods for many Hermitian systems with complex shifts
Computational fluid dynamics	Jacobian matrix construction for fluid flow problems on GPUs using automatic differentiation Efficient Hybrid Spatial-Temporal Operator Learning
Computational Physics	FleCSI: A Task-Based Framework for HPC
condition number	Fast Solvers for Neural Network Least-Squares Approximations
conjugate direction	Recent Developments in Asynchronous Linear Solvers for Computing at the Very Edge
conjugate gradient	Recent Developments in Asynchronous Linear Solvers for Computing at the Very Edge
constrained	Constrained Tensor Decomposition for Low-rank Modeling of Multiphysics Simulation Data
constrained optimization	Transformed primal-dual methods with variable-preconditioners for nonlinear partial differential equations
constraint satisfaction	Iterative Projection Algorithms for Resolving Conformation Disorder in Diffuse X-ray Scattering
Context-Free Grammar	Evolving Algebraic Multigrid Methods Using Grammar-Guided Genetic Programming
convex optimization	Efficient Subproblem Solves for Convergent Neural Network Training
Convolutional Neural Networks	Physics-guided Full Waveform Inversion using Encoder-Solver Convolutional Neural Networks
Coulomb collision	A multiscale hybrid particle-Maxwellian Coulomb-Collision Algorithm for Hybrid Kinetic-Fluid Simulations
coupled multiphysics	Partitioned Scheme for Coupling Heterogenous Numerical Methods, Including Reduced Order Models, Over Nonoverlapping Interfaces
CoupledCopper	Topology-aware Coupler for Energy Exascale Earth System Model Partitioned Scheme for Coupling Heterogenous Numerical Methods, Including Reduced Order Models, Over Nonoverlapping Interfaces Surrogate-based partitioned methods for interface problems
Coupler	Topology-aware Coupler for Energy Exascale Earth System Model
Coupling	An optimization-based approach for coupling projection-based reduced order models
CROP	On the Convergence of CROP-Anderson Acceleration Method
cross-correlation analysis	A Multi-Tiered Iterative Algorithm for Determining the Rotational Diffusion of Particle Systems from the Temporal-Angular Cross-Correlation of Their Power Spectrum
cycling	New Developments in the AMLI-cycle Method
D
damped block Gauss-Newton method	A Damped Block Gauss-Newton Method for Shallow ReLU Neural Network
Darcy–Forchheimer model	Transformed primal-dual methods with variable-preconditioners for nonlinear partial differential equations
data assimilation	Model error estimates for weak constraint 4DVar with representers
data corruption	Recent Developments in Asynchronous Linear Solvers for Computing at the Very Edge
Data Driven	A Data Driven, Eigenvalue Based Adaptive Time Stepping Method for Nonlinear Physics Simulation
data science	Structure Optimization and Compression Methods for Finite Element Operators
Data-Parallelism	FleCSI: A Task-Based Framework for HPC
Deep Learning	Acceleration methods for scientific and data science applications Large scale Scattering using the HINTS
deep neural networks	Progress in Layer-Parallel Neural Networks Training and Inference
dense plasmas	An implicit particle code with exact energy and charge conservation for dynamically compressing plasmas: Solver scaling and performance
density matrix renormalization group	Quantized tensor trains for solving Vlasov-Maxwell equations
deterministic neutron transport	Tensor Networks for Solving the Time-Independent Boltzmann Neutron Transport Equation
Differential equations	Physics-informed augmentations to nonlinear vector autoregressive models for the prediction of dynamical systems
Diffusion problems	Fast iterative solver for neural network method: 1D diffusion problems
Diffusion-Reaction problems	Fast iterative solver for neural network method: 1D general elliptic problems and data fitting
Discontinuous Galerkin	Robust Schwarz methods for DG Discretization of Highly Heterogeneous Anisotropic Elliptic Problems
Distributed-Memory Parallelism	FleCSI: A Task-Based Framework for HPC
Domain Decomposition	Robust Schwarz methods for DG Discretization of Highly Heterogeneous Anisotropic Elliptic Problems
Dynamic Low Rank	A New Dynamic Low Rank Method for Thermal Radiative Transfer
dynamic low rank approximation	Implicit time and rank adaptive method for time-dependent PDEs
Dynamic Mode Decomposition	A Data Driven, Eigenvalue Based Adaptive Time Stepping Method for Nonlinear Physics Simulation
dynamic mode decomposition (DMD)	Surrogate-based partitioned methods for interface problems
dynamical low-rank approximation	Higher order and implicit dynamical low-rank algorithms
E
Earth System Solver	Topology-aware Coupler for Energy Exascale Earth System Model
Eddington factor	Stability Analysis of Two-Level Nonlinear Acceleration Method for the Linear Boltzmann Transport Equation
edge computing	Recent Developments in Asynchronous Linear Solvers for Computing at the Very Edge
Eigenvalue	A Data Driven, Eigenvalue Based Adaptive Time Stepping Method for Nonlinear Physics Simulation
Eigenvalue decomposition	Block Krylov subspace methods for many Hermitian systems with complex shifts
Eigenvalues	Hybrid Quantum-Classical Krylov Methods for Eigenvalue Computation
Elliptic problems	Fast iterative solver for neural network method: 1D general elliptic problems and data fitting Fast iterative solver for neural network method: 1D diffusion problems
Encoder-Solver	Physics-guided Full Waveform Inversion using Encoder-Solver Convolutional Neural Networks
Energy Exascale Earth System Model	Topology-aware Coupler for Energy Exascale Earth System Model
ensemble Kalman methods	Faster solution of linear Bayesian smoothing problems using model reduction for ensemble Kalman inversion
Error estimator	Efficient Hybrid Spatial-Temporal Operator Learning
exact mass-momentum-energy conservation	A multiscale hybrid particle-Maxwellian Coulomb-Collision Algorithm for Hybrid Kinetic-Fluid Simulations
Exascale Solvers	Fast coarse grid solvers for the solution of exascale Poisson equations
existence and uniqueness	Existence and uniqueness analysis of an atmosphere-ocean surface exchange algorithm with applications to global climate models
F
fast Fourier transform	Direct interpolative construction of quantized tensor trains
Fast iterative solvers	Fast iterative solver for neural network method: 1D general elliptic problems and data fitting Fast iterative solver for neural network method: 1D diffusion problems
fast solvers	Fast Solvers for Neural Network Least-Squares Approximations
federated learning	Convergence Analysis of Alternating Anderson-Picard Method for nonlinear fixed-point Problem
finite element	Stagnation-shortening inexact Newton method based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes
finite element method	Structure Optimization and Compression Methods for Finite Element Operators
First order optimization	Low-rank Gradient Flow – a First Order Algorithm for Non-convex Optimization
First- and Zeroth-Order Optimization	Stochastic Average Model Methods
fixed point	Existence and uniqueness analysis of an atmosphere-ocean surface exchange algorithm with applications to global climate models
fixed-point iteration	Some theoretical results on finite convergence property and temporary stalling behavior of Anderson acceleration on linear systems On the Convergence of CROP-Anderson Acceleration Method
fixed-point method	On the asymptotic convergence of Anderson acceleration for certain linear problems
Flexible Cycles	Evolving Algebraic Multigrid Methods Using Grammar-Guided Genetic Programming
Flux Reconstruction	Online Bayesian Optimization of Polynomial-Multigrid Cycles for Flux Reconstruction
Fourier analysis	Decoupled Diffusion Synthetic Acceleration for Deterministic Neutral Particle Transport
Fractional operators	Improving Greedy Algorithms for Rational Approximation
G
Gaussian process model	Online Bayesian Optimization of Polynomial-Multigrid Cycles for Flux Reconstruction
Gaussian processes	Tutorial on Machine Learning
Gaussian Random Fields	Multigrid Monte Carlo revisited: fast sampling of Gaussian Random Fields
Gaussian smoothing	Smoothing Gradient Descent (SmoothGD)
Generalized Conjugate Residual	Acceleration methods for scientific and data science applications
generalized cross validation	GCV-based iterative methods for l1-Regularized Inverse Problems
Genetic Programming	Evolving Algebraic Multigrid Methods Using Grammar-Guided Genetic Programming
Global optimization free network training	Deep learning without global optimization by random Fourier features
GMRES	Polynomial Preconditioning for Solving Linear Equations with Indefinite Matrices Parallel Compact High-Resolution GMRES-PFFT-Type Algorithms for 3D Stochastic Subsurface Scattering Problems.
GPU	Dynamic and Deterministic Neutron Transport on GPUs using One-cell Inversion
GPU acceleration	Adaptive CSR Krylov Solvers on GPU
GPU Computing	Accelerating model-based iterative reconstructions via Non-Uniform Fast Fourier Transforms and GPUs
gradient descent	Smoothing Gradient Descent (SmoothGD)
gradient-free optimization	Smoothing Gradient Descent (SmoothGD)
Graph Laplacian	Rank reduction of graph Laplacians via column selection
Graph Modularity	Adaptive Composite AMG Solvers Utilizing Graph Modularity Coarsening
graph networks	Learning optimal iterative methods
Graph Neural Network	Graph Neural Network to Predict Coarse Space Functions for Two-level Domain Decomposition Methods
Greedy Algorithm	Improving Greedy Algorithms for Rational Approximation
H
H matrix	Fast Randomized Algorithms for Rank-Structured Matrices
H2-conforming elements	Computing H2-conforming finite element approximations without having to implement C1-elements
Half precision	Half precision wave simulation
Helmholtz	Toward an algebraic multigrid method for the indefinite Helmholtz equation
Hessian matrix	A Damped Block Gauss-Newton Method for Shallow ReLU Neural Network
hierarchical matrices	HAM: Hierarchical approximate maps for updating preconditioners
Hierarchically Semi-Separable Matrix	Construction of Hierarchically Semi-Separable Matrix Representation using Adaptive Sparse Johnson-Lindenstrauss Sketching
high order finite elements	Computing H2-conforming finite element approximations without having to implement C1-elements
High Performance Computing	FleCSI: A Task-Based Framework for HPC
high-dimensional problems	Higher order and implicit dynamical low-rank algorithms
High-order finite element method	Fast High-Order Finite Element Solvers on Simplices
high-performance computing	Semi-structured algebraic multigrid (SSAMG)
Higher order methods	Redundant equation methods for stiff wave motions
hybrid particle-fluid simulation	A multiscale hybrid particle-Maxwellian Coulomb-Collision Algorithm for Hybrid Kinetic-Fluid Simulations
Hybrid Quantum-Classical Algorithms	Hybrid Quantum-Classical Krylov Methods for Eigenvalue Computation
hydrodynamics	Nonlinearly partitioned time integration for multiphysics
hyperbolic equations	Improved Coarse-Grid Operators for Multigrid Reduction in Time solutions to the Linear Advection Equation
hyperbolic PDEs	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
hyperelasticity	Stagnation-shortening inexact Newton method based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes
I
ideal interpolation	Block Smoothers for Algebraic Multigrid
Ill-posed problems	Effective Approximate Preconditioners for Linear Inverse Problems
image reconstruction	Iterative Projection Algorithms for Resolving Conformation Disorder in Diffuse X-ray Scattering
image time series analysis	A Multi-Tiered Iterative Algorithm for Determining the Rotational Diffusion of Particle Systems from the Temporal-Angular Cross-Correlation of Their Power Spectrum
Imaging	Regularizing properties of inner-product free Krylov methods for inverse problems
implicit	A finite-grid stable implicit particle-in-cell algorithm for gyrokinetic electromagnetic simulations of magnetized plasmas Solvers and preconditioners enabling flexible IMEX integration of fusion plasmas in COGENT* Implicit time and rank adaptive method for time-dependent PDEs
Implicit methods	Solving 1D-space collisional electron-Boltzamnn transport equation
implicit PIC	An implicit particle code with exact energy and charge conservation for dynamically compressing plasmas: Solver scaling and performance
implicit Runge-Kutta method	Efficient Solution for Fully Implicit Runge-Kutta Methods for Time-dependent Hyperbolic PDEs
implicit Runge-Kutta methods	Higher order and implicit dynamical low-rank algorithms
Implicit Time Integration	Low Rank Krylov-based Implicit Time Integrators for Nonlinear Fokker-Planck Kinetic Models
implicit time integrator	Efficient Solution for Fully Implicit Runge-Kutta Methods for Time-dependent Hyperbolic PDEs
incompressible material	Performance-portable p-multigrid block preconditioning for mixed FE discretizations of nearly incompressible hyperelasticity
indefinite	Structured Sketching for Linear Systems Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
Indefinite linear equations	Polynomial Preconditioning for Solving Linear Equations with Indefinite Matrices
inexact GMRES	Adaptive CSR Krylov Solvers on GPU
Inexact Newton	Stagnation-shortening inexact Newton method based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes
inexact Uzawa methods	Transformed primal-dual methods with variable-preconditioners for nonlinear partial differential equations
inner product free method	H-LSLU: An Inner Product Free Hybrid Krylov Method for Rectangular Large-Scale Inverse Problems
Inner-product free methods	Regularizing properties of inner-product free Krylov methods for inverse problems
interface transmission problem	Surrogate-based partitioned methods for interface problems
inverse problem	GCV-based iterative methods for l1-Regularized Inverse Problems Physics-guided Full Waveform Inversion using Encoder-Solver Convolutional Neural Networks
inverse problems	Efficient Krylov subspace methods for large-scale hierarchical Bayesian inverse problems Iterative Projection Algorithms for Resolving Conformation Disorder in Diffuse X-ray Scattering Mixed Precision Iterative Refinement for Structured Inverse Problems Regularizing properties of inner-product free Krylov methods for inverse problems H-LSLU: An Inner Product Free Hybrid Krylov Method for Rectangular Large-Scale Inverse Problems
iterated penalty method	Computing H2-conforming finite element approximations without having to implement C1-elements
iterative coupling method	A new decoupled solution method for a novel oscillation-free numerical scheme for Biot's model
iterative method	Decoupled Diffusion Synthetic Acceleration for Deterministic Neutral Particle Transport Toward an algebraic multigrid method for the indefinite Helmholtz equation
iterative methods	Fast iterative solvers in tensor butterfly format
Iterative neural network training	Deep learning without global optimization by random Fourier features
iterative projections	Iterative Projection Algorithms for Resolving Conformation Disorder in Diffuse X-ray Scattering
Iterative refinement	Mixed Precision Iterative Refinement for Structured Inverse Problems Newton's Method in Three Precisions
iterative solver	Structured Sketching for Linear Systems
iterative solvers	Space-time parallel iterative solvers for the integration of parabolic problems
J
JFNK	Solvers and preconditioners enabling flexible IMEX integration of fusion plasmas in COGENT* An implicit particle code with exact energy and charge conservation for dynamically compressing plasmas: Solver scaling and performance
K
Kaczmarz method	Structured Sketching for Linear Systems
Kernel Methods	Tutorial on Machine Learning
Kernel Ridge Regression
kinetic	Solvers and preconditioners enabling flexible IMEX integration of fusion plasmas in COGENT*
Kinetic Equations	Higher order and implicit dynamical low-rank algorithms A New Dynamic Low Rank Method for Thermal Radiative Transfer
Krylov	Recent Developments in Asynchronous Linear Solvers for Computing at the Very Edge
Krylov methods	Efficient Krylov subspace methods for large-scale hierarchical Bayesian inverse problems Polynomial Approximation of the inverse of a Matrix with Application to Linear Equations with Multiple Right-hand Sides Regularizing properties of inner-product free Krylov methods for inverse problems Adaptive CSR Krylov Solvers on GPU
Krylov subspace
Krylov subspace method	H-LSLU: An Inner Product Free Hybrid Krylov Method for Rectangular Large-Scale Inverse Problems
Krylov subspace methods	Block Krylov subspace methods for many Hermitian systems with complex shifts
Krylov Subspaces	Hybrid Quantum-Classical Krylov Methods for Eigenvalue Computation
L
l1 regularization	GCV-based iterative methods for l1-Regularized Inverse Problems
lagrange multiplier	Partitioned Scheme for Coupling Heterogenous Numerical Methods, Including Reduced Order Models, Over Nonoverlapping Interfaces
Lanczos
Landweber method	Effective Approximate Preconditioners for Linear Inverse Problems
Large symmetric linear systems
learning-based nonlinear preconditioning	Stagnation-shortening inexact Newton method based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes
least squares	Fast Solvers for Neural Network Least-Squares Approximations A Damped Block Gauss-Newton Method for Shallow ReLU Neural Network
Least-squares data fitting	Fast iterative solver for neural network method: 1D general elliptic problems and data fitting
Least-squares problems
Leonard-Bernstein-Fokker-Planck equation	Low Rank Krylov-based Implicit Time Integrators for Nonlinear Fokker-Planck Kinetic Models
limited - memory BFGS
linear acoustics	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
Linear Algebra	Toward an algebraic multigrid method for the indefinite Helmholtz equation
Linear equations with multiple right-hand sides	Polynomial Approximation of the inverse of a Matrix with Application to Linear Equations with Multiple Right-hand Sides
linear problems	Some theoretical results on finite convergence property and temporary stalling behavior of Anderson acceleration on linear systems
linear systems	Structured Sketching for Linear Systems
liquid crystals
low rank tensors	Data-parallel tensor decomposition algorithms in the tensor-train format
low-order preconditioner	Low-order Preconditioner for Steady State Advection Diffusion Equation Under Spectral Element Discretization
low-rank approximation	Direct interpolative construction of quantized tensor trains An Iterative Rank-Revealing Randomized Algorithm A dynamical low-rank collocation method for nonlinear tensor differential equations Low Rank Krylov-based Implicit Time Integrators for Nonlinear Fokker-Planck Kinetic Models
low-rank tensor decompositions	A tensor POD-ROM for parameter dependent dynamical systems
low-rank tensor network	Tensor Networks for Solving the Time-Independent Boltzmann Neutron Transport Equation
Luby's Algorithm	Adaptive Composite AMG Solvers Utilizing Graph Modularity Coarsening
M
machine learning	Learning optimal iterative methods Progress in Layer-Parallel Neural Networks Training and Inference Tutorial on Machine Learning
Magnetic Confinement Fusion	Scalable multiphysics block preconditioning of a fully-implicit VMS visco-resistive MHD formulation with application to Magnetic Confinement Fusion
magnetic fusion	Solvers and preconditioners enabling flexible IMEX integration of fusion plasmas in COGENT*
Massively Parallel Computers	Communication-Computation Overlapping for Parallel Multigrid Methods
Matrix approximation	An Iterative Rank-Revealing Randomized Algorithm
matrix differential equation	Implicit time and rank adaptive method for time-dependent PDEs
matrix-free	Performance-portable p-multigrid block preconditioning for mixed FE discretizations of nearly incompressible hyperelasticity
maxwell	An energy minimization approach to H-curl AMG
MCMC	Tutorial on Machine Learning
memory bandwidth dominated	Adaptive CSR Krylov Solvers on GPU
MHD	A block preconditioner for resistive MHD simulations
Minimal residual methods
MINRES	Structured Sketching for Linear Systems
mixed Darcy equation	A parameter-robust preconditioner for Stokes-Darcy coupling problems
mixed elasticity	Performance-portable p-multigrid block preconditioning for mixed FE discretizations of nearly incompressible hyperelasticity
Mixed precision	Mixed Precision Iterative Refinement for Structured Inverse Problems Effective Approximate Preconditioners for Linear Inverse Problems
Mixed-Precision Algorithms	Newton's Method in Three Precisions
model reduction	Faster solution of linear Bayesian smoothing problems using model reduction for ensemble Kalman inversion
Model-based Iterative Reconstruction	Accelerating model-based iterative reconstructions via Non-Uniform Fast Fourier Transforms and GPUs
monolithic multigrid	Achieving h- and p-robust monolithic multigrid solvers for saddle-point systems
Monte Carlo integration	Smoothing Gradient Descent (SmoothGD)
Monte Carlo methods	Multigrid Monte Carlo revisited: fast sampling of Gaussian Random Fields
Multi-Level Markov Chain Monte Carlo	Accelerating Multi-Level Markov Chain Monte Carlo Methods Using Machine Learning Models
Multi-physics	Topology-aware Coupler for Energy Exascale Earth System Model
multi-tiered iterative solver	A Multi-Tiered Iterative Algorithm for Determining the Rotational Diffusion of Particle Systems from the Temporal-Angular Cross-Correlation of Their Power Spectrum
multigrid	Improving Multilevel Monte Carlo Scaling with Level-Dependent Redistribution An Absolutely Convergent Parallel-in-Time Relaxation Method for Chaotic Problems Progress in Layer-Parallel Neural Networks Training and Inference A block preconditioner for resistive MHD simulations Communication-Computation Overlapping for Parallel Multigrid Methods Toward an algebraic multigrid method for the indefinite Helmholtz equation Fast High-Order Finite Element Solvers on Simplices Multigrid Monte Carlo revisited: fast sampling of Gaussian Random Fields
multigrid methods	Transformed primal-dual methods with variable-preconditioners for nonlinear partial differential equations
Multigrid methods for AMR	Redundant equation methods for stiff wave motions
multigrid reduction in time (MGRIT)	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
multigrid-in-time	An Absolutely Convergent Parallel-in-Time Relaxation Method for Chaotic Problems
multigrid-reduction-in-time	Improved Coarse-Grid Operators for Multigrid Reduction in Time solutions to the Linear Advection Equation
Multilevel acceleration	Low-rank Gradient Flow – a First Order Algorithm for Non-convex Optimization
multilevel iteration methods	Stability Analysis of Two-Level Nonlinear Acceleration Method for the Linear Boltzmann Transport Equation
multilevel Monte Carlo	Improving Multilevel Monte Carlo Scaling with Level-Dependent Redistribution
Multiphyiscs block preconditioning	Scalable multiphysics block preconditioning of a fully-implicit VMS visco-resistive MHD formulation with application to Magnetic Confinement Fusion
multiphysics	An energy minimization approach to H-curl AMG Nonlinearly partitioned time integration for multiphysics
multiphysics simulation	Constrained Tensor Decomposition for Low-rank Modeling of Multiphysics Simulation Data
multiscale	A multiscale hybrid particle-Maxwellian Coulomb-Collision Algorithm for Hybrid Kinetic-Fluid Simulations
Multiscale learning	Deep learning without global optimization by random Fourier features
N
neural network	Fast iterative solver for neural network method: 1D general elliptic problems and data fitting Fast iterative solver for neural network method: 1D diffusion problems Fast Solvers for Neural Network Least-Squares Approximations A Damped Block Gauss-Newton Method for Shallow ReLU Neural Network
neural network training	Training Neural Networks with PyRol: Algorithms and Examples Efficient Subproblem Solves for Convergent Neural Network Training
Neural networks	Efficient Hybrid Spatial-Temporal Operator Learning
neutron transport	Dynamic and Deterministic Neutron Transport on GPUs using One-cell Inversion
Newton methods	A Newton-based Grad-Shafranov solver for tokamak equilibrium
Newton's Method	Fast iterative solver for neural network method: 1D diffusion problems Newton's Method in Three Precisions
Newton’s method	Acceleration methods for scientific and data science applications
Non-convex optimization	Low-rank Gradient Flow – a First Order Algorithm for Non-convex Optimization
non-smooth optimization	Efficient Subproblem Solves for Convergent Neural Network Training
Nonlinear acceleration	Acceleration methods for scientific and data science applications
Nonlinear dynamics	Physics-informed augmentations to nonlinear vector autoregressive models for the prediction of dynamical systems
nonlinear electromagnetism	Transformed primal-dual methods with variable-preconditioners for nonlinear partial differential equations
nonlinear hyperbolic conservation laws	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
Nonlinear partial differential equations	Efficient Hybrid Spatial-Temporal Operator Learning
nonlinear partition	Nonlinearly partitioned time integration for multiphysics
nonlinear projection operator approach	Stability Analysis of Two-Level Nonlinear Acceleration Method for the Linear Boltzmann Transport Equation
nonlinear solvers	Jacobian matrix construction for fluid flow problems on GPUs using automatic differentiation
nonsmooth optimization	Training Neural Networks with PyRol: Algorithms and Examples
nonsymmetric	Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
nuclear engineering	Dynamic and Deterministic Neutron Transport on GPUs using One-cell Inversion
numerical integration	A dynamical low-rank collocation method for nonlinear tensor differential equations
Numerical Optimization	Stochastic Average Model Methods
NVAR	Physics-informed augmentations to nonlinear vector autoregressive models for the prediction of dynamical systems
Nystrom approximation	Rank reduction of graph Laplacians via column selection
O
OpenMP	Parallel Compact High-Resolution GMRES-PFFT-Type Algorithms for 3D Stochastic Subsurface Scattering Problems.
Operator learning	Efficient Hybrid Spatial-Temporal Operator Learning
Operators	Large scale Scattering using the HINTS
optimal interpolation	Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
optimization	Learning optimal iterative methods Structure Optimization and Compression Methods for Finite Element Operators
oscillatory problems	Fast iterative solvers in tensor butterfly format
overdetermined and underdetermined	Structured Sketching for Linear Systems
P
p-multigrid	Performance-portable p-multigrid block preconditioning for mixed FE discretizations of nearly incompressible hyperelasticity
p-multigrid Preconditioners	Fast coarse grid solvers for the solution of exascale Poisson equations
parabolic problems	Space-time parallel iterative solvers for the integration of parabolic problems
parallel block Jacobi	Dynamic and Deterministic Neutron Transport on GPUs using One-cell Inversion
parallel computing	Stagnation-shortening inexact Newton method based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes Data-parallel tensor decomposition algorithms in the tensor-train format
Parallel processing	Parallel Space-time Implicit Runge-Kutta Methods and Tensor-structure-preserving Schwarz Preconditioning for Parabolic Problems
parallel-in-time	An Absolutely Convergent Parallel-in-Time Relaxation Method for Chaotic Problems Progress in Layer-Parallel Neural Networks Training and Inference Improved Coarse-Grid Operators for Multigrid Reduction in Time solutions to the Linear Advection Equation Waveform relaxation multigrid for Navier-Stokes
parallel-in-time methods	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
Parallelism	FleCSI: A Task-Based Framework for HPC
parameter selection	GCV-based iterative methods for l1-Regularized Inverse Problems
parameter tuning	Learning optimal iterative methods
parameter-robust solver	A parameter-robust preconditioner for Stokes-Darcy coupling problems
parareal algorithm	Space-time parallel iterative solvers for the integration of parabolic problems
particle transport	Stability Analysis of Two-Level Nonlinear Acceleration Method for the Linear Boltzmann Transport Equation
particle-in-cell	A finite-grid stable implicit particle-in-cell algorithm for gyrokinetic electromagnetic simulations of magnetized plasmas
partitioned scheme	Surrogate-based partitioned methods for interface problems
PDE constrained optimization	An optimization-based approach for coupling projection-based reduced order models
pde solvers	Learning optimal iterative methods
PDE-constrained optimization	A Newton-based Grad-Shafranov solver for tokamak equilibrium
PDEs with random coefficients	Improving Multilevel Monte Carlo Scaling with Level-Dependent Redistribution Accelerating Multi-Level Markov Chain Monte Carlo Methods Using Machine Learning Models
PFFT	Parallel Compact High-Resolution GMRES-PFFT-Type Algorithms for 3D Stochastic Subsurface Scattering Problems.
Physics-based preconditioning	A finite-grid stable implicit particle-in-cell algorithm for gyrokinetic electromagnetic simulations of magnetized plasmas A Newton-based Grad-Shafranov solver for tokamak equilibrium
Physics-informed machine learning	Physics-informed augmentations to nonlinear vector autoregressive models for the prediction of dynamical systems
plasma	Solvers and preconditioners enabling flexible IMEX integration of fusion plasmas in COGENT* An energy minimization approach to H-curl AMG
plasma physics	A finite-grid stable implicit particle-in-cell algorithm for gyrokinetic electromagnetic simulations of magnetized plasmas
Plasma Systems Modeling	Scalable multiphysics block preconditioning of a fully-implicit VMS visco-resistive MHD formulation with application to Magnetic Confinement Fusion
Plasmas	Solving 1D-space collisional electron-Boltzamnn transport equation
policy optimization
polynomial methods	New Developments in the AMLI-cycle Method
Polynomial multigrid method	Online Bayesian Optimization of Polynomial-Multigrid Cycles for Flux Reconstruction
Polynomial preconditioning	Polynomial Preconditioning for Solving Linear Equations with Indefinite Matrices Polynomial Approximation of the inverse of a Matrix with Application to Linear Equations with Multiple Right-hand Sides
Preconditioner	Adaptive Composite AMG Solvers Utilizing Graph Modularity Coarsening
preconditioners	Transformed primal-dual methods with variable-preconditioners for nonlinear partial differential equations
preconditioning	A parameter-robust preconditioner for Stokes-Darcy coupling problems Solvers and preconditioners enabling flexible IMEX integration of fusion plasmas in COGENT* Effective Approximate Preconditioners for Linear Inverse Problems HAM: Hierarchical approximate maps for updating preconditioners Efficient Solution for Fully Implicit Runge-Kutta Methods for Time-dependent Hyperbolic PDEs
primal-dual methods	Transformed primal-dual methods with variable-preconditioners for nonlinear partial differential equations
principal component analysis	Stagnation-shortening inexact Newton method based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes
projection method	Structured Sketching for Linear Systems
Q
quantized tensor train	Tensor Networks for Solving the Time-Independent Boltzmann Neutron Transport Equation
quantized tensor trains	Quantized tensor trains for solving Vlasov-Maxwell equations
Quantum Computing	Hybrid Quantum-Classical Krylov Methods for Eigenvalue Computation
Quasi-Newton	An Iterative Rank-Revealing Randomized Algorithm
Quasi-newton method	Convergence Analysis of Alternating Anderson-Picard Method for nonlinear fixed-point Problem
R
r-adaptivity	Structure Optimization and Compression Methods for Finite Element Operators
radiation	Nonlinearly partitioned time integration for multiphysics
radiation transport	Decoupled Diffusion Synthetic Acceleration for Deterministic Neutral Particle Transport
Random Fourier features	Deep learning without global optimization by random Fourier features
Randomized algorithms	An Iterative Rank-Revealing Randomized Algorithm
randomized method	Structured Sketching for Linear Systems
Randomized Methods	Stochastic Average Model Methods
randomized numerical linear algebra	Fast Randomized Algorithms for Rank-Structured Matrices
Randomized Sampling	Construction of Hierarchically Semi-Separable Matrix Representation using Adaptive Sparse Johnson-Lindenstrauss Sketching
rank structured matrix	Fast Randomized Algorithms for Rank-Structured Matrices
Rational approximation	Improving Greedy Algorithms for Rational Approximation
recycling	HAM: Hierarchical approximate maps for updating preconditioners
Reduced order modeling	An optimization-based approach for coupling projection-based reduced order models
reduced order models	A tensor POD-ROM for parameter dependent dynamical systems Partitioned Scheme for Coupling Heterogenous Numerical Methods, Including Reduced Order Models, Over Nonoverlapping Interfaces
regularization	Model error estimates for weak constraint 4DVar with representers Regularizing properties of inner-product free Krylov methods for inverse problems Tutorial on Machine Learning
reinforcement learning
relaxation	An Absolutely Convergent Parallel-in-Time Relaxation Method for Chaotic Problems
ReLU activation	Fast iterative solver for neural network method: 1D general elliptic problems and data fitting Fast iterative solver for neural network method: 1D diffusion problems
Ritz formulation	Fast iterative solver for neural network method: 1D general elliptic problems and data fitting Fast iterative solver for neural network method: 1D diffusion problems
robust	An energy minimization approach to H-curl AMG
Runge Kutta	Nonlinearly partitioned time integration for multiphysics
S
saddle point problems	Transformed primal-dual methods with variable-preconditioners for nonlinear partial differential equations
saddle point system	Structure Optimization and Compression Methods for Finite Element Operators
saddle-point systems	Achieving h- and p-robust monolithic multigrid solvers for saddle-point systems
scalable	An energy minimization approach to H-curl AMG
Scattering	Large scale Scattering using the HINTS
Schur complement	Fast Randomized Algorithms for Rank-Structured Matrices Nonlinearly partitioned time integration for multiphysics Fast High-Order Finite Element Solvers on Simplices
Schwarz Methods	Fast coarse grid solvers for the solution of exascale Poisson equations
scientific machine learning	Training Neural Networks with PyRol: Algorithms and Examples
self-consistent field iteration	On the Convergence of CROP-Anderson Acceleration Method
sequence of linear systems	HAM: Hierarchical approximate maps for updating preconditioners
shallow water equations	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
shape optimization
shock waves	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
skeletonization	Fast Randomized Algorithms for Rank-Structured Matrices
Space-time finite element discretisations	Waveform relaxation multigrid for Navier-Stokes
Space-time implicit Runge-Kutta method	Parallel Space-time Implicit Runge-Kutta Methods and Tensor-structure-preserving Schwarz Preconditioning for Parabolic Problems
Space-Time operator	Tensor Networks Space-Time Spectral Method for Solving the Heat Equation
space-time parallel methods	Space-time parallel iterative solvers for the integration of parabolic problems
Sparse Johnson-Lindenstrauss Sketching	Construction of Hierarchically Semi-Separable Matrix Representation using Adaptive Sparse Johnson-Lindenstrauss Sketching
sparse matrix-vector multiplication (SpMV)	Adaptive CSR Krylov Solvers on GPU
sparsity	Adaptive CSR Krylov Solvers on GPU
Spectral collocation methods	Tensor Networks Space-Time Spectral Method for Solving the Heat Equation
spectral element method	Low-order Preconditioner for Steady State Advection Diffusion Equation Under Spectral Element Discretization
Spectral/Finite Element Method	Fast coarse grid solvers for the solution of exascale Poisson equations
splitting methods	Space-time parallel iterative solvers for the integration of parabolic problems
stabilized scheme	A new decoupled solution method for a novel oscillation-free numerical scheme for Biot's model
steady advection diffusion	Low-order Preconditioner for Steady State Advection Diffusion Equation Under Spectral Element Discretization
Stiff wave equations	Redundant equation methods for stiff wave motions
stochastic gradient descent	Smoothing Gradient Descent (SmoothGD)
Stokes-Darcy problem	A parameter-robust preconditioner for Stokes-Darcy coupling problems
Streaming data compression	Efficient incremental Tucker decomposition for streaming scientific data
structure detection	Structure Optimization and Compression Methods for Finite Element Operators
structure enhancement	Structure Optimization and Compression Methods for Finite Element Operators
structured solvers	Semi-structured algebraic multigrid (SSAMG)
synthetic acceleration	Decoupled Diffusion Synthetic Acceleration for Deterministic Neutral Particle Transport
T
tactoids
Task-Based Parallelism	FleCSI: A Task-Based Framework for HPC
tensor	Fast iterative solvers in tensor butterfly format
tensor BM-decomposition	Tensor Completion with BMD Factor Nuclear Norm Minimization
tensor completion	Tensor Completion with BMD Factor Nuclear Norm Minimization
tensor cross approximation	A dynamical low-rank collocation method for nonlinear tensor differential equations
tensor decomposition	Constrained Tensor Decomposition for Low-rank Modeling of Multiphysics Simulation Data
tensor differential equations	A dynamical low-rank collocation method for nonlinear tensor differential equations
tensor factorization	Direct interpolative construction of quantized tensor trains
Tensor factorizations	Efficient incremental Tucker decomposition for streaming scientific data
tensor methods	A tensor POD-ROM for parameter dependent dynamical systems
tensor train	Tensor Networks for Solving the Time-Independent Boltzmann Neutron Transport Equation
Tensor Train Decomposition	Tensor Networks Space-Time Spectral Method for Solving the Heat Equation
tensor train format	A dynamical low-rank collocation method for nonlinear tensor differential equations
tensor trains	Direct interpolative construction of quantized tensor trains Quantized tensor trains for solving Vlasov-Maxwell equations
Tensor-structure preserving two-level Schwarz preconditioner	Parallel Space-time Implicit Runge-Kutta Methods and Tensor-structure-preserving Schwarz Preconditioning for Parabolic Problems
tensor-train (TT) format	Data-parallel tensor decomposition algorithms in the tensor-train format
the maxwell equations	Block Smoothers for Algebraic Multigrid
Thermal Radiative Transfer	A New Dynamic Low Rank Method for Thermal Radiative Transfer
Tikhonov regularization	Mixed Precision Iterative Refinement for Structured Inverse Problems H-LSLU: An Inner Product Free Hybrid Krylov Method for Rectangular Large-Scale Inverse Problems
time integration	Nonlinearly partitioned time integration for multiphysics
time-dependent	Dynamic and Deterministic Neutron Transport on GPUs using One-cell Inversion
Time-dependent hyperbolic pdes	Efficient Solution for Fully Implicit Runge-Kutta Methods for Time-dependent Hyperbolic PDEs
time-dependent PDE	Quantized tensor trains for solving Vlasov-Maxwell equations
time-dependent tensors	A dynamical low-rank collocation method for nonlinear tensor differential equations
Time-parallel algorithm	Parallel Space-time Implicit Runge-Kutta Methods and Tensor-structure-preserving Schwarz Preconditioning for Parabolic Problems
Toeplitz matrix	Mixed Precision Iterative Refinement for Structured Inverse Problems
tokamak	Solvers and preconditioners enabling flexible IMEX integration of fusion plasmas in COGENT*
transport	Model error estimates for weak constraint 4DVar with representers
Truncated GCR	Acceleration methods for scientific and data science applications
TT cross	Data-parallel tensor decomposition algorithms in the tensor-train format
Tucker format	Efficient incremental Tucker decomposition for streaming scientific data
turbulence	An Absolutely Convergent Parallel-in-Time Relaxation Method for Chaotic Problems
two-grid	Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
Two-level Domain Decomposition	Graph Neural Network to Predict Coarse Space Functions for Two-level Domain Decomposition Methods
Two-sided samples	An Iterative Rank-Revealing Randomized Algorithm
U
uncertainty quantification	Efficient Krylov subspace methods for large-scale hierarchical Bayesian inverse problems Improving Multilevel Monte Carlo Scaling with Level-Dependent Redistribution Accelerating Multi-Level Markov Chain Monte Carlo Methods Using Machine Learning Models
Unstructured finite element method	Parallel Space-time Implicit Runge-Kutta Methods and Tensor-structure-preserving Schwarz Preconditioning for Parabolic Problems
V
Vanka relaxation	Achieving h- and p-robust monolithic multigrid solvers for saddle-point systems
W
wave simulation	Half precision wave simulation
Waveform relaxation multigrid	Waveform relaxation multigrid for Navier-Stokes
WENO	Multigrid parallel-in-time for hyperbolic PDEs: nonlinear equations and systems
X
X-ray tomographic reconstruction	Accelerating model-based iterative reconstructions via Non-Uniform Fast Fourier Transforms and GPUs

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