CCIMM26: COLORADO CONFERENCE ON ITERATIVE AND MULTIGRID METHODS

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

A
Acoustic wave modeling	Scalable multigrid solver for the Helmholtz equation: real-shifted coarse grid correction
adaptive algorithm	An adaptive framework for first-order gradient methods
adaptive multigrid	A High‑Order Adaptive Multigrid–FFT Poisson Solver for Unbounded and Periodic Domains
Adaptive Refinement	A Discrete-Sine-Transform based Preconditioner for Adaptive Meshes Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
Advection-reaction equation	Structure-Guided Gauss-Network Method: LSNN for Linear Advection-Reaction Equation
agglomeration	Agglomeration-based multigrid solver in a lazy-evaluated array framework
algebraic multigrid	Nodal Coarsening and Sparse Ideal Interpolation for H(curl) Problems in Algebraic Multigrid On spectral clustering in algebraic multigrid methods A Matrix-Free Algebraic HP-Multigrid Method for Computational Fluid Dynamics Applications Sparse Matrix–Vector Multiplication for Algebraic Multigrid on the Cerebras Wafer-Scale Engine Structure Preserving AMG Strategies for PDE Systems, with a focus on Stokes Equations New design advances in HYPRE for semi-structured problems Energy minimization multigrid for the eddy current equations
AMG	LS--AMG--DD: An AMG/DD Solver for Least-Squares-Style Systems
analog computing	Block Jacobi Preconditioning on Analog Hardware
Anderson Acceleration	A Unified Two-Grid Framework for Anderson Acceleration and Nonlinear GMRES New Variants of Anderson acceleration and nonlinear GMRES based on reformulated least‑squares problems
approximate inverse	Block Jacobi Preconditioning on Analog Hardware
Arnoldi and Lanczos algorithm	The Wilson-Dirac Operator and its Spectrum
attention	Multilevel training methods for large-scale transformer architectures
Augmented Lagrangian	Efficient Multigrid Solvers for Time-Dependent Rayleigh-Bénard Convection
axial shear	Computing the ground state and dynamics of rotational dipolar Bose-Einstein condensates
B
B-normal matrices	Optimal transfer operators and convergence bounds for nonsymmetric two-grid methods
Backward Stability Analysis	Stability Analysis of Inexact Solves in Interpolatory One-Sided Projection Methods for Model Order Reduction of Linear Dynamical Systems
black-box	A New Hybrid Neural-Quadratic Model-Based Derivative-Free Optimization Method
Block Factorization	On spectral clustering in algebraic multigrid methods
Block Jacobi	On spectral clustering in algebraic multigrid methods
block smoothers	Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems
Bose-Einstein condensates	Computing the ground state and dynamics of rotational dipolar Bose-Einstein condensates
Boussinesq equations	Efficient Multigrid Solvers for Time-Dependent Rayleigh-Bénard Convection
C
Circulant	A Discrete-Sine-Transform based Preconditioner for Adaptive Meshes
column subset selection	Markov chains, graph Laplacians, and column subset selection
complexity	Optimization problems with Holder continuous gradients
Complexity bounds	Advancing Optimization Algorithm Complexity Theory
compressible turbulence	A new performance landscape for implicit finite-element analysis of turbulence
constraint energy-minimization	Physics-Based Clustering for the Construction of Multiscale Solvers in Heterogeneous and Multiscale Systems
convection-diffusion problems	An incidence-based edge-averaged method for the convection-diffusion problems on polygonal meshes.
convergence analysis	Optimal transfer operators and convergence bounds for nonsymmetric two-grid methods
convergence theory	LS--AMG--DD: An AMG/DD Solver for Least-Squares-Style Systems
Convex optimization	Parallel-in-iteration optimization using multigrid reduction-in-time Randomized Fast Subspace Descent Methods
convolutional neural network	Spatial and Channel Refinement of Convolutional Neural Networks
coupled multiphysics	Multigrid Reduction Preconditioning for Fully Implicit Magnetohydrodynamics
coupled problems	Transforming Smoothers for Elliptic Interface Problems with Jumping Coefficients
D
Data Assimilation	Can Local Data Reveal Global Fluid Dynamics?
de Rham Complex	Nodal Coarsening and Sparse Ideal Interpolation for H(curl) Problems in Algebraic Multigrid
diffusion	Multi-Level Patch Diffusion Models
Direct Methods	On spectral clustering in algebraic multigrid methods
Discrete Exterior Calculus	Multigrid for FEEC using Mass-Lumping and Transforming Smoothers: Algorithms and Results
Distributed Training	A full layer-parallel training with PyMGRIT for forward and backward passes in neural networks
Distributive Relaxation	Multigrid for FEEC using Mass-Lumping and Transforming Smoothers: Algorithms and Results
domain decomposition	Massively Parallel Domain Decomposition Preconditioner on a GPU: Efficient Implementation and Fine-Tuning LS--AMG--DD: An AMG/DD Solver for Least-Squares-Style Systems High-order Iterative and Multilevel Elliptic Solver for Node Sets Not Aligned with Boundaries
DST	A Discrete-Sine-Transform based Preconditioner for Adaptive Meshes
E
E3SM	Do Well-Balancing and Second-Order Accuracy Matter for River and Compound Flood Modeling?
edge preservation	N EFFICIENT CUMULATIVE EDGE-DETECTION METHOD FOR EDGE-PRESERVING IMAGE RECONSTRUCTION
Elastic obstacle	Parallel-in-iteration optimization using multigrid reduction-in-time
elliptic PDEs	Massively Parallel Domain Decomposition Preconditioner on a GPU: Efficient Implementation and Fine-Tuning
energy efficiency	Block Jacobi Preconditioning on Analog Hardware
Energy minimization	Energy minimization multigrid for the eddy current equations
exchangeability	FlexTrace: Exchangeable Randomized Trace Estimation for Matrix Functions
explicit pseudo-transient continuation	Optimization problems with Holder continuous gradients
exponential fitting	An incidence-based edge-averaged method for the convection-diffusion problems on polygonal meshes.
F
fast fourier transform	A High‑Order Adaptive Multigrid–FFT Poisson Solver for Unbounded and Periodic Domains
fine-grained task execution	Caracal: A GPU-Resident Sparse LU Solver with Lightweight Fine-Grained Scheduling
Finite Element Exterior Calculus	Multigrid for FEEC using Mass-Lumping and Transforming Smoothers: Algorithms and Results
finite element method	Accelerating Implicit Contact via Matrix-Free Operators on Non-Conforming Interfaces
finite element methods	Cheetah: Optimizing Execution Pipelines for Matrix-Free Finite Element Operators on GPUs
finite elements	LS--AMG--DD: An AMG/DD Solver for Least-Squares-Style Systems Quantum optimal preconditioning via oracle-free block-encoding of expanded systems
Finite State Projection	Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
Finite Volume Methods	Do Well-Balancing and Second-Order Accuracy Matter for River and Compound Flood Modeling? Riemann Solvers and Well-Balancing in Shallow Water Modeling with RDycore
finite-element	A new performance landscape for implicit finite-element analysis of turbulence
Finite-element Method	A Discrete-Sine-Transform based Preconditioner for Adaptive Meshes
finite-element methods	An incidence-based edge-averaged method for the convection-diffusion problems on polygonal meshes.
Fourier transform	Iterative execution of discrete and inverse discrete Fourier transforms with applications for signal denoising via sparsification
Fourier-Domain Reconstruction	Fast MBIR via Fourier Reformulation and Multilevel Methods
G
Gauss-Newton method	Structure-Guided Gauss-Network Method: LSNN for Linear Advection-Reaction Equation
Gauss-Seidel iterations	Using Half Precision for Matrix Splitting Iterations
generative models	Multi-Level Patch Diffusion Models
gnn	Hierarchical Graph Networks for Scalable Learning on Graphs
GPU	Massively Parallel Domain Decomposition Preconditioner on a GPU: Efficient Implementation and Fine-Tuning Mixed-precision LOBPCG on GPUs A new performance landscape for implicit finite-element analysis of turbulence
GPU Acceleration	Fast MBIR via Fourier Reformulation and Multilevel Methods
GPU computing	Cheetah: Optimizing Execution Pipelines for Matrix-Free Finite Element Operators on GPUs Accelerating Implicit Contact via Matrix-Free Operators on Non-Conforming Interfaces
GPU-computing	A full layer-parallel training with PyMGRIT for forward and backward passes in neural networks
GPU-resident computation	Caracal: A GPU-Resident Sparse LU Solver with Lightweight Fine-Grained Scheduling
Gradient descent	Parallel-in-iteration optimization using multigrid reduction-in-time
gradient methods	An adaptive framework for first-order gradient methods
Gram decay	Newton--Leja GMRES and the Polar Filter
Graph Laplacians	Accelerating Algebraic Multigrid with Learned Sparse Corrections Markov chains, graph Laplacians, and column subset selection
Graph Neural Networks	Accelerating Algebraic Multigrid with Learned Sparse Corrections Hierarchical Graph Networks for Scalable Learning on Graphs
H
H(curl)	Nodal Coarsening and Sparse Ideal Interpolation for H(curl) Problems in Algebraic Multigrid
Hamiltonian Monte Carlo	Symplectic nonlinear splitting methods for Hamiltonian Monte Carlo
Harmonic Ritz values	The Wilson-Dirac Operator and its Spectrum
Helmholtz equation	Scalable multigrid solver for the Helmholtz equation: real-shifted coarse grid correction
Hessenberg process	Restarted IDR($s$)-QMR with Residual-Polynomial Preconditioning for Large Nonsymmetric Linear Systems
hierarchical	Hierarchical Graph Networks for Scalable Learning on Graphs
hierarchical matrices	Parametric Hierarchical Matrix Approximations to Kernel Matrices H2-MG: A Multigrid Method for Hierarchical Rank Structured Matrices
high-order	High-order Iterative and Multilevel Elliptic Solver for Node Sets Not Aligned with Boundaries A new performance landscape for implicit finite-element analysis of turbulence
High-Performance Computing (HPC)	Fast MBIR via Fourier Reformulation and Multilevel Methods
hp-multigrid	A Matrix-Free Algebraic HP-Multigrid Method for Computational Fluid Dynamics Applications
Hybrid High-Order	Geometric Multigrid solvers for hybrid high-order methods on polytopal meshes.
H¨older continuityj	Optimization problems with Holder continuous gradients
I
ideal interpolation	Nodal Coarsening and Sparse Ideal Interpolation for H(curl) Problems in Algebraic Multigrid
IDR($s$) method	Restarted IDR($s$)-QMR with Residual-Polynomial Preconditioning for Large Nonsymmetric Linear Systems
interpolative decomposition	Markov chains, graph Laplacians, and column subset selection
Interpolatory Projection Methods	Stability Analysis of Inexact Solves in Interpolatory One-Sided Projection Methods for Model Order Reduction of Linear Dynamical Systems
inverse problems	N EFFICIENT CUMULATIVE EDGE-DETECTION METHOD FOR EDGE-PRESERVING IMAGE RECONSTRUCTION
iterative algorithms	Iterative execution of discrete and inverse discrete Fourier transforms with applications for signal denoising via sparsification
iterative eigenvalue solver	Mixed-precision LOBPCG on GPUs
Iterative Methods	Learning-enhanced preconditioning techniques for linear and nonlinear iterative methods Fast MBIR via Fourier Reformulation and Multilevel Methods
iterative regularization	N EFFICIENT CUMULATIVE EDGE-DETECTION METHOD FOR EDGE-PRESERVING IMAGE RECONSTRUCTION
J
Jacobi iterations	Using Half Precision for Matrix Splitting Iterations
just-in-time compilation	Cheetah: Optimizing Execution Pipelines for Matrix-Free Finite Element Operators on GPUs
K
Kaczmarz algorithm	Randomized Sketch-and-Project Methods for Quadratic Minimax Problems
Kemeny–Snell Aggregation	Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
kernel matrices	Parametric Hierarchical Matrix Approximations to Kernel Matrices H2-MG: A Multigrid Method for Hierarchical Rank Structured Matrices
Kolmogorov-Arnold Networks	Spatial and Channel Refinement of Convolutional Neural Networks Multilevel training methods for large-scale transformer architectures
Krylov methods	Accelerating Algebraic Multigrid with Learned Sparse Corrections Newton--Leja GMRES and the Polar Filter
Krylov solvers	The Wilson-Dirac Operator and its Spectrum
Krylov subspace	Restarted IDR($s$)-QMR with Residual-Polynomial Preconditioning for Large Nonsymmetric Linear Systems
Krylov subspace methods	N EFFICIENT CUMULATIVE EDGE-DETECTION METHOD FOR EDGE-PRESERVING IMAGE RECONSTRUCTION
Krylov-Schur algorithm	The Wilson-Dirac Operator and its Spectrum
L
Large scale optimization	Matrix free PDE-constrained optimization with basis preconditioning for gas flows in networks
Large Scale Problems	Advancing Optimization Algorithm Complexity Theory
Lattice gauge theory	The Wilson-Dirac Operator and its Spectrum
Layer-Parallelism	A full layer-parallel training with PyMGRIT for forward and backward passes in neural networks
Least-squares method	Structure-Guided Gauss-Network Method: LSNN for Linear Advection-Reaction Equation
least-squares problem	New Variants of Anderson acceleration and nonlinear GMRES based on reformulated least‑squares problems
Linear Solvers	Stability Analysis of Inexact Solves in Interpolatory One-Sided Projection Methods for Model Order Reduction of Linear Dynamical Systems
linear systems	Learning-enhanced preconditioning techniques for linear and nonlinear iterative methods
LOBPCG	Mixed-precision LOBPCG on GPUs
low-rank approximation	FlexTrace: Exchangeable Randomized Trace Estimation for Matrix Functions
M
machine learning	Spatial and Channel Refinement of Convolutional Neural Networks Multilevel training methods for large-scale transformer architectures Multilevel Training for Kolmogorov Arnold Networks Advancing Optimization Algorithm Complexity Theory
Machine learning generalizability	What Makes a Good Preconditioner for Data Science?
magnetohydrodynamics	Multigrid Reduction Preconditioning for Fully Implicit Magnetohydrodynamics
Markov Chain Lumpability	Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
Markov chain Monte Carlo	Symplectic nonlinear splitting methods for Hamiltonian Monte Carlo
Markov chains	Markov chains, graph Laplacians, and column subset selection
mass-energy conservation	Computing the ground state and dynamics of rotational dipolar Bose-Einstein condensates
Mass-Lumping	Multigrid for FEEC using Mass-Lumping and Transforming Smoothers: Algorithms and Results
Matrix free methods	Matrix free PDE-constrained optimization with basis preconditioning for gas flows in networks
matrix functions	FlexTrace: Exchangeable Randomized Trace Estimation for Matrix Functions
matrix-free	A Matrix-Free Algebraic HP-Multigrid Method for Computational Fluid Dynamics Applications Markov chains, graph Laplacians, and column subset selection Accelerating Implicit Contact via Matrix-Free Operators on Non-Conforming Interfaces A new performance landscape for implicit finite-element analysis of turbulence
matrix-free methods	Cheetah: Optimizing Execution Pipelines for Matrix-Free Finite Element Operators on GPUs
Maxwell's equations	Energy minimization multigrid for the eddy current equations
meshfree	High-order Iterative and Multilevel Elliptic Solver for Node Sets Not Aligned with Boundaries
MGRIT	Parallel-in-iteration optimization using multigrid reduction-in-time
mixed finite elements	Transforming Smoothers for Elliptic Interface Problems with Jumping Coefficients
mixed precision	Massively Parallel Domain Decomposition Preconditioner on a GPU: Efficient Implementation and Fine-Tuning
Mixed-precision	Using Half Precision for Matrix Splitting Iterations Mixed-precision LOBPCG on GPUs
Model Order Reduction	Stability Analysis of Inexact Solves in Interpolatory One-Sided Projection Methods for Model Order Reduction of Linear Dynamical Systems
model-based	A New Hybrid Neural-Quadratic Model-Based Derivative-Free Optimization Method
Model-Based Iterative Reconstruction (MBIR)	Fast MBIR via Fourier Reformulation and Multilevel Methods
Moment Matching	Stability Analysis of Inexact Solves in Interpolatory One-Sided Projection Methods for Model Order Reduction of Linear Dynamical Systems
moment method	Matrix Spectrum Quantile Approximation via Moments
Monolithic multigrid	Efficient Multigrid Solvers for Time-Dependent Rayleigh-Bénard Convection
multi-level learning	Multi-Level Patch Diffusion Models
multi-stream parallelism	Caracal: A GPU-Resident Sparse LU Solver with Lightweight Fine-Grained Scheduling
multigrid	Scalable multigrid solver for the Helmholtz equation: real-shifted coarse grid correction Geometric Multigrid solvers for hybrid high-order methods on polytopal meshes. H2-MG: A Multigrid Method for Hierarchical Rank Structured Matrices Multigrid for FEEC using Mass-Lumping and Transforming Smoothers: Algorithms and Results Multilevel Training for Kolmogorov Arnold Networks Agglomeration-based multigrid solver in a lazy-evaluated array framework
Multigrid Methods	Accelerating Algebraic Multigrid with Learned Sparse Corrections Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems Multigrid Reduction Preconditioning for Fully Implicit Magnetohydrodynamics Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
Multigrid-in-Time	A full layer-parallel training with PyMGRIT for forward and backward passes in neural networks
multilevel	High-order Iterative and Multilevel Elliptic Solver for Node Sets Not Aligned with Boundaries Hierarchical Graph Networks for Scalable Learning on Graphs
multilevel methods	Spatial and Channel Refinement of Convolutional Neural Networks Multilevel training methods for large-scale transformer architectures
multiresolution	A High‑Order Adaptive Multigrid–FFT Poisson Solver for Unbounded and Periodic Domains
multiscale solver	Physics-Based Clustering for the Construction of Multiscale Solvers in Heterogeneous and Multiscale Systems
N
nested iteration	Spatial and Channel Refinement of Convolutional Neural Networks Multilevel training methods for large-scale transformer architectures
neural networks	Preconditioning Via Spectral Density Driven Graph Neural Networks Multilevel Training for Kolmogorov Arnold Networks
Non-Galerkin Methods	Accelerating Algebraic Multigrid with Learned Sparse Corrections
Non-Uniform Fast Fourier Transform (NUFFT)	Fast MBIR via Fourier Reformulation and Multilevel Methods
Nonconvex optimization	Matrix free PDE-constrained optimization with basis preconditioning for gas flows in networks
nonlinear GMRES	A Unified Two-Grid Framework for Anderson Acceleration and Nonlinear GMRES New Variants of Anderson acceleration and nonlinear GMRES based on reformulated least‑squares problems
nonlinear systems	Learning-enhanced preconditioning techniques for linear and nonlinear iterative methods
nonsymmetric algebraic multigrid	Optimal transfer operators and convergence bounds for nonsymmetric two-grid methods
numerical dispersion	Scalable multigrid solver for the Helmholtz equation: real-shifted coarse grid correction
O
Operator Splitting	Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
optimal transfer operators	Optimal transfer operators and convergence bounds for nonsymmetric two-grid methods
optimization	A New Hybrid Neural-Quadratic Model-Based Derivative-Free Optimization Method PDE-Inspired Splitting, Preconditioning, and Regularization in Optimization Advancing Optimization Algorithm Complexity Theory
P
parallel	Agglomeration-based multigrid solver in a lazy-evaluated array framework
Parallel linear solver software	New design advances in HYPRE for semi-structured problems
Parallel-in-time	Parallel-in-iteration optimization using multigrid reduction-in-time
parametric	Parametric Hierarchical Matrix Approximations to Kernel Matrices
Partial Differential Equations	Accelerating Algebraic Multigrid with Learned Sparse Corrections
PDE	High-order Iterative and Multilevel Elliptic Solver for Node Sets Not Aligned with Boundaries
PDE systems	Structure Preserving AMG Strategies for PDE Systems, with a focus on Stokes Equations
performance modeling	A new performance landscape for implicit finite-element analysis of turbulence
physics-based block preconditioning	Multigrid Reduction Preconditioning for Fully Implicit Magnetohydrodynamics
physics-based clustering	Physics-Based Clustering for the Construction of Multiscale Solvers in Heterogeneous and Multiscale Systems
player-centric scheme	Randomized Sketch-and-Project Methods for Quadratic Minimax Problems
Poisson solver	A High‑Order Adaptive Multigrid–FFT Poisson Solver for Unbounded and Periodic Domains
polynomial preconditioning	Restarted IDR($s$)-QMR with Residual-Polynomial Preconditioning for Large Nonsymmetric Linear Systems
Polytopal meshes	Geometric Multigrid solvers for hybrid high-order methods on polytopal meshes.
preconditioned conjugate gradient	Computing the ground state and dynamics of rotational dipolar Bose-Einstein condensates
preconditioned GMRES	New Variants of Anderson acceleration and nonlinear GMRES based on reformulated least‑squares problems
preconditioned linear solvers	Quantum optimal preconditioning via oracle-free block-encoding of expanded systems
preconditioned Richardson iteration	New Variants of Anderson acceleration and nonlinear GMRES based on reformulated least‑squares problems
preconditioner	A Discrete-Sine-Transform based Preconditioner for Adaptive Meshes Learning-enhanced preconditioning techniques for linear and nonlinear iterative methods
Preconditioners	Accelerating Algebraic Multigrid with Learned Sparse Corrections Transforming Smoothers for Elliptic Interface Problems with Jumping Coefficients What Makes a Good Preconditioner for Data Science?
Preconditioning	Preconditioning Via Spectral Density Driven Graph Neural Networks Efficient Multigrid Solvers for Time-Dependent Rayleigh-Bénard Convection Block Jacobi Preconditioning on Analog Hardware Matrix free PDE-constrained optimization with basis preconditioning for gas flows in networks PDE-Inspired Splitting, Preconditioning, and Regularization in Optimization
projected gradient descent	Optimization problems with Holder continuous gradients
Proximal gradient	Parallel-in-iteration optimization using multigrid reduction-in-time
PyTorch	Massively Parallel Domain Decomposition Preconditioner on a GPU: Efficient Implementation and Fine-Tuning
Q
quadratic minimax optimization	Randomized Sketch-and-Project Methods for Quadratic Minimax Problems
quadratic optimization	An adaptive framework for first-order gradient methods
quantum algorithms	Quantum optimal preconditioning via oracle-free block-encoding of expanded systems
R
randomized coordinate method	Randomized Sketch-and-Project Methods for Quadratic Minimax Problems
Randomized Methods	Randomized Fast Subspace Descent Methods
randomized numerical linear algebra	FlexTrace: Exchangeable Randomized Trace Estimation for Matrix Functions
RBF-FD	High-order Iterative and Multilevel Elliptic Solver for Node Sets Not Aligned with Boundaries
Reaction-Diffusion Master Equation	Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
recurrence stability	Newton--Leja GMRES and the Polar Filter
Recycling CG	Stability Analysis of Inexact Solves in Interpolatory One-Sided Projection Methods for Model Order Reduction of Linear Dynamical Systems
Recycling Krylov Subspaces	Stability Analysis of Inexact Solves in Interpolatory One-Sided Projection Methods for Model Order Reduction of Linear Dynamical Systems
regularization	PDE-Inspired Splitting, Preconditioning, and Regularization in Optimization
ReLU neural network	Structure-Guided Gauss-Network Method: LSNN for Linear Advection-Reaction Equation
Riemann Solvers	Riemann Solvers and Well-Balancing in Shallow Water Modeling with RDycore
Runge-Kutta time stepping	Efficient Multigrid Solvers for Time-Dependent Rayleigh-Bénard Convection
S
scalable	Hierarchical Graph Networks for Scalable Learning on Graphs
Scale Separation	Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
Second-order reconstruction	Do Well-Balancing and Second-Order Accuracy Matter for River and Compound Flood Modeling?
Semi-structured grids	New design advances in HYPRE for semi-structured problems
Sensor Placement	Can Local Data Reveal Global Fluid Dynamics?
Shallow Water Equations	Do Well-Balancing and Second-Order Accuracy Matter for River and Compound Flood Modeling? Riemann Solvers and Well-Balancing in Shallow Water Modeling with RDycore
signal denoising	Iterative execution of discrete and inverse discrete Fourier transforms with applications for signal denoising via sparsification
sketch-and-project framework	Randomized Sketch-and-Project Methods for Quadratic Minimax Problems
Smoothed Aggregation	Accelerating Algebraic Multigrid with Learned Sparse Corrections
software	Agglomeration-based multigrid solver in a lazy-evaluated array framework
solid mechanics	Accelerating Implicit Contact via Matrix-Free Operators on Non-Conforming Interfaces
Sparse approximate inverse	Preconditioning Via Spectral Density Driven Graph Neural Networks
Sparse LU factorization	Caracal: A GPU-Resident Sparse LU Solver with Lightweight Fine-Grained Scheduling
Sparse matrix–vector multiplication	Sparse Matrix–Vector Multiplication for Algebraic Multigrid on the Cerebras Wafer-Scale Engine
Spectral density	Preconditioning Via Spectral Density Driven Graph Neural Networks
spectral density estimation	Matrix Spectrum Quantile Approximation via Moments
spectral measure	Newton--Leja GMRES and the Polar Filter
splitting	PDE-Inspired Splitting, Preconditioning, and Regularization in Optimization
splitting methods	Symplectic nonlinear splitting methods for Hamiltonian Monte Carlo
static scheduler	Caracal: A GPU-Resident Sparse LU Solver with Lightweight Fine-Grained Scheduling
Stationary iterations	Using Half Precision for Matrix Splitting Iterations
Stencils	New design advances in HYPRE for semi-structured problems
Stochastic gradient descent	What Makes a Good Preconditioner for Data Science?
Stochastic Lanczos Quadrature	Matrix Spectrum Quantile Approximation via Moments
Stochastic Spatiotemporal Dynamics	Adaptive Multigrid Finite State Projection for the Reaction-Diffusion Master Equation
Stokes equations	Structure Preserving AMG Strategies for PDE Systems, with a focus on Stokes Equations
strongly convex	An adaptive framework for first-order gradient methods
structured matrices	Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems
Subspace Decomposition	Randomized Fast Subspace Descent Methods
symplectic integrators	Symplectic nonlinear splitting methods for Hamiltonian Monte Carlo
T
Toeplitz	A Discrete-Sine-Transform based Preconditioner for Adaptive Meshes
Toeplitz matrices	Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems
trace estimation	FlexTrace: Exchangeable Randomized Trace Estimation for Matrix Functions
transformer	Multilevel training methods for large-scale transformer architectures
Transforming Smoothers	Multigrid for FEEC using Mass-Lumping and Transforming Smoothers: Algorithms and Results
truncated recurrence	Newton--Leja GMRES and the Polar Filter
Turbulence	Can Local Data Reveal Global Fluid Dynamics?
two-grid	A Unified Two-Grid Framework for Anderson Acceleration and Nonlinear GMRES
two-grid methods	Optimal transfer operators and convergence bounds for nonsymmetric two-grid methods
U
unbounded boundary conditions	A High‑Order Adaptive Multigrid–FFT Poisson Solver for Unbounded and Periodic Domains
unfitted methods	Transforming Smoothers for Elliptic Interface Problems with Jumping Coefficients
Unstructured meshes	Do Well-Balancing and Second-Order Accuracy Matter for River and Compound Flood Modeling?
upscaling	Physics-Based Clustering for the Construction of Multiscale Solvers in Heterogeneous and Multiscale Systems
V
variance reduction	FlexTrace: Exchangeable Randomized Trace Estimation for Matrix Functions
variational integrators	Symplectic nonlinear splitting methods for Hamiltonian Monte Carlo
W
wafer-scale computing	Sparse Matrix–Vector Multiplication for Algebraic Multigrid on the Cerebras Wafer-Scale Engine
Well-Balanced Schemes	Riemann Solvers and Well-Balancing in Shallow Water Modeling with RDycore
Well-balancing	Do Well-Balancing and Second-Order Accuracy Matter for River and Compound Flood Modeling?

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