CM2025: 22ND COPPER MOUNTAIN CONFERENCE ON MULTIGRID METHODS

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

A
Adaptive AMG	Advancing Adaptive Algebraic Multigrid: Composite Preconditioners for Anisotropic Problems and Contact Elasticity
Advection problems	One and two level parallel-in-time schemes for problems with time varying coefficients
aggolmeration
aggregation
Aggressive Coarsening	Aggressive coarsening for faster CFD simulations on GPU-accelerated supercomputers
algebraic multigrid	Semi-Structured Algebraic Multigrid in hypre Aggressive coarsening for faster CFD simulations on GPU-accelerated supercomputers Nodal AMG Coarsening and Interpolation for PDE Systems Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies
AMG	A matrix-free AMG method targeting large-scale GPU architectures
Anderson Acceleration	Comparisons between Anderson Acceleration and Momentum Acceleration Algorithms A Characterization of the Behavior of Nonlinear GMRES on Linear Systems
Anisotropic diffusion	Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers
Anisotropy	Advancing Adaptive Algebraic Multigrid: Composite Preconditioners for Anisotropic Problems and Contact Elasticity
Approximate commutators	A block-acoustic preconditioner for the elastic Helmholtz equation
Arnoldi approximation	Error Estimates for the Arnoldi Approximation of a Matrix Square Root
artificial intelligence	Preconditioned optimization in machine learning: a multilevel perspective
Artificial Neural Networks	Sparsification of Neural Networks Inspired by Optimal Strongly Attack Tolerant Network Configurations
B
Bayesian Inference	Accelerating Multi-Level Markov Chain Monte Carlo Methods Using Machine Learning Models and Dimensionality Reduction
bayesian optimization	Quantum Bayesian Optimisation of Reservoir Simulation Models
black box	Unstructured to structured: Geometric Multigrid on complex domains via Mesh Remapping
block methods	Gauss-Seidel Iteration in s-Step CG Coarse Solvers for AMG
Block preconditioning	A block-acoustic preconditioner for the elastic Helmholtz equation
block smoothers	Nodal AMG Coarsening and Interpolation for PDE Systems
block-floating point	Multigrid with Linear Storage Complexity
bottom solver	Gauss-Seidel Iteration in s-Step CG Coarse Solvers for AMG
boxmg	Unstructured to structured: Geometric Multigrid on complex domains via Mesh Remapping
burning plasmas	A Multi Scale Two Grid Strategy for Kinetic Modeling of Burning Plasmas
C
Cahn-Hilliard	Mulltiscale variational sintering model with degenerate incompressibility
Category Theory	Graph Lineages and Skeletal Graph Products
Cauchy integral formula	Error Estimates for the Arnoldi Approximation of a Matrix Square Root
CFD	Aggressive coarsening for faster CFD simulations on GPU-accelerated supercomputers
Chaos	Stable Parallel-in-Time Relaxation for Chaotic Systems
Clique Relaxations	Sparsification of Neural Networks Inspired by Optimal Strongly Attack Tolerant Network Configurations
coarse space approximation	Multiscale two-grid preconditioner for diffusion processes in heterogeneous and anisotropic media
Coherent Diffraction Imaging	Multigrid-based Stochastic Minimization for Ptychographic Phase Retrieval
Communication-Computation Overlapping	Effects of Process/Thread Allocation for Optimization of Communication-Computation Overlapping in Parallel Multigrid Methods
compact multigrid	Multigrid with Linear Storage Complexity
compatible relaxation	Nodal AMG Coarsening and Interpolation for PDE Systems
Composite Preconditioners	Advancing Adaptive Algebraic Multigrid: Composite Preconditioners for Anisotropic Problems and Contact Elasticity
compression	MGARD: Multigrid Framework for Compression of Scientific Data using Variable-Order Polynomial Predictors
conservative and consistent	A Multi Scale Two Grid Strategy for Kinetic Modeling of Burning Plasmas
constant step size	Parallelism in time-integration with fully implicit Runge-Kutta methods
Continuation Methods	Using Genetic Programming and Continuation Methods to solve (Reynolds-Averaged) Navier-Stokes equations at high Reynolds numbers
Convergence	Convergence Analysis for 1D Neural Network Method
convergence theory	Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies
coupled problem	Decoupled solution methods for multiphysics problems based on dynamic interface flux surrogates
coupling	Multigrid preconditioning of implicit integration electromagnetic effects in the gyrokinetic code COGENT
D
data compression	Multigrid with Linear Storage Complexity
decoupled solution method	Decoupled solution methods for multiphysics problems based on dynamic interface flux surrogates
deep learning	Multiscale training for CNNs
Deferred correction	Deferred Correction -- Multigrid Reduction in Time (MGRIT--DC)
diffeomorphic	Unstructured to structured: Geometric Multigrid on complex domains via Mesh Remapping
differential-algebraic equations	Parallelism in time-integration with fully implicit Runge-Kutta methods
diffusion problems	Geometrically Informed Numerical Solver for 1D Neural Network Method
diffusion processes	Multiscale two-grid preconditioner for diffusion processes in heterogeneous and anisotropic media
Discrete exterior calculus	Multigrid Methods for Structure Preserving Discretizations
DNS	A fast and precise method to compute highly dynamic particulate flows
dynamic mode decomposition	Decoupled solution methods for multiphysics problems based on dynamic interface flux surrogates
E
Elastic Helmholtz equation	A block-acoustic preconditioner for the elastic Helmholtz equation
Elastic wave modeling	A block-acoustic preconditioner for the elastic Helmholtz equation
Energetic variational approach	Mulltiscale variational sintering model with degenerate incompressibility
Energy Minimisation	Aggressive coarsening for faster CFD simulations on GPU-accelerated supercomputers
error indicators	Geometrically Informed Numerical Solver for 1D Neural Network Method
Euler-Lagrange equations	A Parallel-in-time Approach Using the Normal Equations
Extended finite volume	A fast and precise method to compute highly dynamic particulate flows
F
fast iterative solvers	Geometrically Informed Numerical Solver for 1D Neural Network Method
finite element	A Parallel-in-time Approach Using the Normal Equations
finite elements	A new AMG Strength-of-connection measure that incorporates finite element mass matrices
Fixed Point	Comparisons between Anderson Acceleration and Momentum Acceleration Algorithms
Fixed-point iterations	A New Combination of Polynomial Extrapolation Methods and Multigrid Solvers For Isogeometric Analysis Applied To Linear and Nonlinear Problems
G
Gauss-Newton	Block Gauss-Newton and Newton Methods for Non-Convex Optimization Problems Arising from ReLU Neural Network Approximations
Gauss-Newton Method	Fast solvers for shallow R{\scriptsize e}LU neural network approximations: the 2D case
Gauss-Seidel iteration	Gauss-Seidel Iteration in s-Step CG Coarse Solvers for AMG
gaussian smoothing
Genetic Programming	Using Genetic Programming and Continuation Methods to solve (Reynolds-Averaged) Navier-Stokes equations at high Reynolds numbers
geometric multigrid	Unstructured to structured: Geometric Multigrid on complex domains via Mesh Remapping
GMRES	A Characterization of the Behavior of Nonlinear GMRES on Linear Systems
GNNs	MULTISCALE TRAINING OF GRAPH NEURAL NETWORKS
GPU	A matrix-free AMG method targeting large-scale GPU architectures Aggressive coarsening for faster CFD simulations on GPU-accelerated supercomputers Unstructured to structured: Geometric Multigrid on complex domains via Mesh Remapping
Graph Modularity Optimization	Advancing Adaptive Algebraic Multigrid: Composite Preconditioners for Anisotropic Problems and Contact Elasticity
Graph Theory	Graph Lineages and Skeletal Graph Products
H
H(curl)	Nodal AMG Coarsening and Interpolation for PDE Systems
H(div)	Nodal AMG Coarsening and Interpolation for PDE Systems
heat transfer	Efficient Multilevel Methods for Material Properties Inversion in Heat Transfer Problems
Helmholtz-squared
Hierarchical Semi-Separable (HSS) Solvers	Fast solvers for shallow R{\scriptsize e}LU neural network approximations: the 2D case
High-performance computing	Semi-Structured Algebraic Multigrid in hypre
Higher order transfer
I
ideal interpolation	Nodal AMG Coarsening and Interpolation for PDE Systems
Ill-conditioning
Image Analysis	Machine Learning for Image Segmentation of Impact Damage in Composite Materials
IMEX	Multigrid preconditioning of implicit integration electromagnetic effects in the gyrokinetic code COGENT
implicit Runge-Kutta methods	Parallelism in time-integration with fully implicit Runge-Kutta methods
Incompressible Navier-Stokes	A fast and precise method to compute highly dynamic particulate flows
interface flux dynamics	Decoupled solution methods for multiphysics problems based on dynamic interface flux surrogates
Interface Problems	Block Gauss-Newton and Newton Methods for Non-Convex Optimization Problems Arising from ReLU Neural Network Approximations
Interpolation Techniques	Advancing Adaptive Algebraic Multigrid: Composite Preconditioners for Anisotropic Problems and Contact Elasticity
inverse problems	Efficient Multilevel Methods for Material Properties Inversion in Heat Transfer Problems
Isogeometric analysis	A New Combination of Polynomial Extrapolation Methods and Multigrid Solvers For Isogeometric Analysis Applied To Linear and Nonlinear Problems
Iterative methods	Comparisons between Anderson Acceleration and Momentum Acceleration Algorithms One and two level parallel-in-time schemes for problems with time varying coefficients
J
Julia	Multigrid Methods for Structure Preserving Discretizations
K
Karhunen-Loeve Expansion	Accelerating Multi-Level Markov Chain Monte Carlo Methods Using Machine Learning Models and Dimensionality Reduction
kolmogorov superposition theorem	Multilevel Algorithms for Training Kolmogorov-Arnold Networks
kolmogorov-arnold network	Multilevel Algorithms for Training Kolmogorov-Arnold Networks
L
layer-parallel	Multilevel Training of Transformers
layer-parallel training	Layer-Parallel Training with PyMGRIT for Deep Residual Neural Networks
lddmm	Unstructured to structured: Geometric Multigrid on complex domains via Mesh Remapping
learning	Unstructured to structured: Geometric Multigrid on complex domains via Mesh Remapping
least-squares	A Parallel-in-time Approach Using the Normal Equations
LFA
lifting scheme	MGARD: Multigrid Framework for Compression of Scientific Data using Variable-Order Polynomial Predictors
liquid crystals	Nonlinear methods for shape optimization problems in liquid crystal tactoids
Local Fourier analysis	Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers
Logistic regression	Subspace Descent Method for Non-linear Problems
Low-Rank Approximation	Fast solvers for shallow R{\scriptsize e}LU neural network approximations: the 2D case
M
Machine Learning	Machine Learning for Image Segmentation of Impact Damage in Composite Materials Preconditioned optimization in machine learning: a multilevel perspective Layer-Parallel Training with PyMGRIT for Deep Residual Neural Networks Graph Lineages and Skeletal Graph Products Multilevel Algorithms for Training Kolmogorov-Arnold Networks Accelerating Multi-Level Markov Chain Monte Carlo Methods Using Machine Learning Models and Dimensionality Reduction
Machine Learning Optimization	Fast solvers for shallow R{\scriptsize e}LU neural network approximations: the 2D case
Material Science	Mulltiscale variational sintering model with degenerate incompressibility
Materials	Mulltiscale variational sintering model with degenerate incompressibility
matrix square root	Error Estimates for the Arnoldi Approximation of a Matrix Square Root
matrix-free	A matrix-free AMG method targeting large-scale GPU architectures
Mechanics	Mulltiscale variational sintering model with degenerate incompressibility
MGRIT	Stable Parallel-in-Time Relaxation for Chaotic Systems
Mine Countermeasure Simulation	A multi-domain relaxation strategy with quasi-Monte Carlo for Mine Counter Measure Simulations
mixed finite elements	Parameter-robust Preconditioners for the Stokes-Darcy Coupled Problem without Fractional Operators
mixed precision	Gauss-Seidel Iteration in s-Step CG Coarse Solvers for AMG Multigrid with Linear Storage Complexity
Model Specification	Graph Lineages and Skeletal Graph Products
Momentum Acceleration algorithms	Comparisons between Anderson Acceleration and Momentum Acceleration Algorithms
Monte Carlo	A multi-domain relaxation strategy with quasi-Monte Carlo for Mine Counter Measure Simulations
MPE method	A New Combination of Polynomial Extrapolation Methods and Multigrid Solvers For Isogeometric Analysis Applied To Linear and Nonlinear Problems
multigrid	Efficient Multilevel Methods for Material Properties Inversion in Heat Transfer Problems A Parallel-in-time Approach Using the Normal Equations MGARD: Multigrid Framework for Compression of Scientific Data using Variable-Order Polynomial Predictors
multigrid coarsening	A new AMG Strength-of-connection measure that incorporates finite element mass matrices
Multigrid Methods	Multigrid-based Stochastic Minimization for Ptychographic Phase Retrieval A New Combination of Polynomial Extrapolation Methods and Multigrid Solvers For Isogeometric Analysis Applied To Linear and Nonlinear Problems
Multigrid reduction in time	Deferred Correction -- Multigrid Reduction in Time (MGRIT--DC)
Multigrid-in-Time	Stable Parallel-in-Time Relaxation for Chaotic Systems
multigrid-reduction-in-time	Layer-Parallel Training with PyMGRIT for Deep Residual Neural Networks New space-time parallel algorithms combining multigrid-reduction-in-time and splitting techniques
Multilevel Markov Chain Monte Carlo	Accelerating Multi-Level Markov Chain Monte Carlo Methods Using Machine Learning Models and Dimensionality Reduction
Multilevel Modelling	Graph Lineages and Skeletal Graph Products
multilevel training	Multilevel Algorithms for Training Kolmogorov-Arnold Networks
multiphysics problem	Decoupled solution methods for multiphysics problems based on dynamic interface flux surrogates
Multiscale	Multiscale training for CNNs Multigrid preconditioning of implicit integration electromagnetic effects in the gyrokinetic code COGENT MULTISCALE TRAINING OF GRAPH NEURAL NETWORKS
Multiscale structures	Optimization and Analytical Approaches for Plasma Instability Control
N
nested iteration	Nonlinear methods for shape optimization problems in liquid crystal tactoids
Neural Network	Multilevel Algorithms for Training Kolmogorov-Arnold Networks Convergence Analysis for 1D Neural Network Method Block Gauss-Newton and Newton Methods for Non-Convex Optimization Problems Arising from ReLU Neural Network Approximations
neural networks	Geometrically Informed Numerical Solver for 1D Neural Network Method
neural ode	Unstructured to structured: Geometric Multigrid on complex domains via Mesh Remapping
Newton	Block Gauss-Newton and Newton Methods for Non-Convex Optimization Problems Arising from ReLU Neural Network Approximations
Newton's Method	Convergence Analysis for 1D Neural Network Method Geometrically Informed Numerical Solver for 1D Neural Network Method
Non-convex Optimization	Block Gauss-Newton and Newton Methods for Non-Convex Optimization Problems Arising from ReLU Neural Network Approximations
Nonlinear dynamics	Optimization and Analytical Approaches for Plasma Instability Control
nonlinear GMRES	A Characterization of the Behavior of Nonlinear GMRES on Linear Systems
Nonlinear problems	A New Combination of Polynomial Extrapolation Methods and Multigrid Solvers For Isogeometric Analysis Applied To Linear and Nonlinear Problems
normal equations	A Parallel-in-time Approach Using the Normal Equations
Numerical Linear Algebra	Fast solvers for shallow R{\scriptsize e}LU neural network approximations: the 2D case
O
operator inference	Decoupled solution methods for multiphysics problems based on dynamic interface flux surrogates
Optimal R-robust 2-clubs	Sparsification of Neural Networks Inspired by Optimal Strongly Attack Tolerant Network Configurations
optimization	Machine Learning for Image Segmentation of Impact Damage in Composite Materials Preconditioned optimization in machine learning: a multilevel perspective
ordinary differential equations	Parallelism in time-integration with fully implicit Runge-Kutta methods
orthogonality	A Characterization of the Behavior of Nonlinear GMRES on Linear Systems
orthogonalization	Gauss-Seidel Iteration in s-Step CG Coarse Solvers for AMG
Overlapping Schwarz smoothers	Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers
P
p-Laplacian	Subspace Descent Method for Non-linear Problems
Parallel Multigrid Method	Effects of Process/Thread Allocation for Optimization of Communication-Computation Overlapping in Parallel Multigrid Methods
Parallel time integration	Deferred Correction -- Multigrid Reduction in Time (MGRIT--DC)
parallel-in-time	Stable Parallel-in-Time Relaxation for Chaotic Systems Multilevel Training of Transformers A Parallel-in-time Approach Using the Normal Equations One and two level parallel-in-time schemes for problems with time varying coefficients
parallel-in-time approach	Layer-Parallel Training with PyMGRIT for Deep Residual Neural Networks
parallelism	Parallelism in time-integration with fully implicit Runge-Kutta methods
parameter-robust preconditioner	Parameter-robust Preconditioners for the Stokes-Darcy Coupled Problem without Fractional Operators
particulate flow	A fast and precise method to compute highly dynamic particulate flows
PDE-constrained optimization	Optimization and Analytical Approaches for Plasma Instability Control
Phase Retrieval	Multigrid-based Stochastic Minimization for Ptychographic Phase Retrieval
Phase-field model	Mulltiscale variational sintering model with degenerate incompressibility
plasma physics	Multigrid preconditioning of implicit integration electromagnetic effects in the gyrokinetic code COGENT
Pooling	MULTISCALE TRAINING OF GRAPH NEURAL NETWORKS
Preconditioning	Multigrid Methods for Structure Preserving Discretizations
predictors	Parallelism in time-integration with fully implicit Runge-Kutta methods
Process/Thread Allocation	Effects of Process/Thread Allocation for Optimization of Communication-Computation Overlapping in Parallel Multigrid Methods
Prolongation Operators	Graph Lineages and Skeletal Graph Products
Ptychographic iterative engine	Multigrid-based Stochastic Minimization for Ptychographic Phase Retrieval
Ptychography	Multigrid-based Stochastic Minimization for Ptychographic Phase Retrieval
Q
quantum computing	Quantum Bayesian Optimisation of Reservoir Simulation Models
quasi-Monte Carlo	A multi-domain relaxation strategy with quasi-Monte Carlo for Mine Counter Measure Simulations
quasi-Newton methods	Nonlinear methods for shape optimization problems in liquid crystal tactoids
R
ReLU Activation	Convergence Analysis for 1D Neural Network Method
reservoir simulation	Quantum Bayesian Optimisation of Reservoir Simulation Models
Restarted extrapolation methods	A New Combination of Polynomial Extrapolation Methods and Multigrid Solvers For Isogeometric Analysis Applied To Linear and Nonlinear Problems
Reynolds-Averaged Navier-Stokes	Using Genetic Programming and Continuation Methods to solve (Reynolds-Averaged) Navier-Stokes equations at high Reynolds numbers
Ritz formulation	Geometrically Informed Numerical Solver for 1D Neural Network Method
RRE method	A New Combination of Polynomial Extrapolation Methods and Multigrid Solvers For Isogeometric Analysis Applied To Linear and Nonlinear Problems
S
s-step CG	Gauss-Seidel Iteration in s-Step CG Coarse Solvers for AMG
saddle-point systems	Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies A block-acoustic preconditioner for the elastic Helmholtz equation
scientific data	MGARD: Multigrid Framework for Compression of Scientific Data using Variable-Order Polynomial Predictors
Semi-Lagrangian schemes	Optimization and Analytical Approaches for Plasma Instability Control
semismooth Newton method	Efficient Multilevel Methods for Material Properties Inversion in Heat Transfer Problems
shape optimization	Nonlinear methods for shape optimization problems in liquid crystal tactoids
Simplicial complexes	Multigrid Methods for Structure Preserving Discretizations
Sintering	Mulltiscale variational sintering model with degenerate incompressibility
skew-symmetric	A Characterization of the Behavior of Nonlinear GMRES on Linear Systems
space-time parallel methods	New space-time parallel algorithms combining multigrid-reduction-in-time and splitting techniques
Sparsification	Sparsification of Neural Networks Inspired by Optimal Strongly Attack Tolerant Network Configurations
splitting methods	New space-time parallel algorithms combining multigrid-reduction-in-time and splitting techniques
starting algorithms	Parallelism in time-integration with fully implicit Runge-Kutta methods
stochastic gradient descent	Multiscale training for CNNs
Stochastic Optimal Control	A multi-domain relaxation strategy with quasi-Monte Carlo for Mine Counter Measure Simulations
Stochastic Partial Differential Equation	Accelerating Multi-Level Markov Chain Monte Carlo Methods Using Machine Learning Models and Dimensionality Reduction
Stokes equations	Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies
Stokes system	Nodal AMG Coarsening and Interpolation for PDE Systems
Stokes-Darcy problem	Parameter-robust Preconditioners for the Stokes-Darcy Coupled Problem without Fractional Operators
strength of connection	A new AMG Strength-of-connection measure that incorporates finite element mass matrices
Strong attack tolerance	Sparsification of Neural Networks Inspired by Optimal Strongly Attack Tolerant Network Configurations
Structured Matrices	Fast solvers for shallow R{\scriptsize e}LU neural network approximations: the 2D case
Structured solvers	Semi-Structured Algebraic Multigrid in hypre
Subspace descent	Subspace Descent Method for Non-linear Problems
Suppression of plasma instability	Optimization and Analytical Approaches for Plasma Instability Control
symmetric	A Characterization of the Behavior of Nonlinear GMRES on Linear Systems
T
time-integration	Parallelism in time-integration with fully implicit Runge-Kutta methods
time-rescaling	Parallelism in time-integration with fully implicit Runge-Kutta methods
transformer	Multilevel Training of Transformers
Turbulence	Stable Parallel-in-Time Relaxation for Chaotic Systems
two grid strategy	A Multi Scale Two Grid Strategy for Kinetic Modeling of Burning Plasmas
two-grid preconditioner	Multiscale two-grid preconditioner for diffusion processes in heterogeneous and anisotropic media
U
Unconventional grid coarsening
V
Vanka relaxation	Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies
Vlasov–Poisson equation	Optimization and Analytical Approaches for Plasma Instability Control
W
well-posedness analysis	Parameter-robust Preconditioners for the Stokes-Darcy Coupled Problem without Fractional Operators

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