SIAM Journal on Scientific Computing

Article	Citations
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	76
Fast Expansion into Harmonics on the Disk: A Steerable Basis with Fast Radial Convolutions	69
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	51
Numerical Solution of a Matrix Integral Equation Arising in Markov-Modulated Lévy Processes	37
A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions	31
An Efficient Multiscale Preconditioner for Large-Scale Highly Heterogeneous Flow	29
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations	28
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	25
A Robust Two-Level Overlapping Preconditioner for Darcy Flow in High-Contrast Media	22
Reflectionless Discrete Perfectly Matched Layers for Higher-Order Finite Difference Schemes	21
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	20
Anti-Gauss Cubature Rules with Applications to Fredholm Integral Equations on the Square	18
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	17
A Domain Decomposition Solver for Large Scale Time-Harmonic Flow Acoustics Problems	16
A Performance Portable, Fully Implicit Landau Collision Operator with Batched Linear Solvers	16
Multilevel Spectral Domain Decomposition	16
Efficient Upwind Finite-Difference Schemes for Wave Equations on Overset Grids	15
Partitioning and Reordering for Spike-Based Distributed-Memory Parallel Gauss--Seidel	15
A Framework for Error-Bounded Approximate Computing, with an Application to Dot Products	14
A Directional Equispaced Interpolation-Based Fast Multipole Method for Oscillatory Kernels	14
High-Order Mass- and Energy-Conserving Methods for the Nonlinear Schrödinger Equation	14
A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations	14
Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions	14
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	14
Nonnegative Tensor Decomposition via Collaborative Neurodynamic Optimization	13

Stable Rank-Adaptive Dynamically Orthogonal Runge–Kutta Schemes	13
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	13
Code Generation and Performance Engineering for Matrix-Free Finite Element Methods on Hybrid Tetrahedral Grids	13
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation	13
Hermitian Preconditioning for a Class of Non-Hermitian Linear Systems	12
Adaptive Space-Time Domain Decomposition for Multiphase Flow in Porous Media with Bound Constraints	12
Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree	12
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	12
An Adaptive Covariance Parameterization Technique for the Ensemble Gaussian Mixture Filter	12
Multivariate Hermite Interpolation on Riemannian Manifolds	11
Hybrid Projection Methods for Solution Decomposition in Large-Scale Bayesian Inverse Problems	11
Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-informed Deep Generative Models	11
Adaptivity in Local Kernel Based Methods for Approximating the Action of Linear Operators	11
Black Box Approximation in the Tensor Train Format Initialized by ANOVA Decomposition	11
An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps	11
\(\boldsymbol{\mathcal{L}_2}\)-Optimal Reduced-Order Modeling Using Parameter-Separable Forms	10
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	10
A Global Optimization Approach for Multimarginal Optimal Transport Problems with Coulomb Cost	10
Numerical Solver for the Boltzmann Equation with Self-Adaptive Collision Operators	10
Interpolating Parametrized Quantum Circuits Using Blackbox Queries	10
Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems	10
Polynomial Chaos Expansions for Stiff Random ODEs	10
Bounds on Nonlinear Errors for Variance Computation with Stochastic Rounding	10
Iterative Methods of Linearized Moment Equations for Rarefied Gases	9
Multigrid Reduction in Time for Chaotic Dynamical Systems	9
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	9
Robust Multigrid Techniques for Augmented Lagrangian Preconditioning of Incompressible Stokes Equations with Extreme Viscosity Variations	9
Learning Robust Marking Policies for Adaptive Mesh Refinement	9
Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control	9
A First-Order Reduced Model for a Highly Oscillating Differential Equation with Application in Penning Traps	9
Special Section: 2023 Copper Mountain Conference	9
Doubly Monotonic Constraint on Interpolators: Bridging Second-Order to Singularity Preservation to Cancel “Numerical Wetting” in Transport Schemes	9
On the Convergence of Monolithic Multigrid for Implicit Runge–Kutta Time Stepping of Finite Element Problems	9
A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates	8
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	8
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations	8
Personalized Algorithm Generation: A Case Study in Learning ODE Integrators	8
MG-FIM: A Multi-GPU Fast Iterative Method Using Adaptive Domain Decomposition	8
A Scalable Deep Learning Approach for Solving High-Dimensional Dynamic Optimal Transport	8
A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows	8
A Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility Constraints	8
Riemannian Natural Gradient Methods	8
Streaming Compression of Scientific Data via Weak-SINDy	7
Improving Efficiency of Parallel Across the Method Spectral Deferred Corrections	7
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	7
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	7
Structured Gradient Descent for Fast Robust Low-Rank Hankel Matrix Completion	7
A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner–Coulomb Dynamics	7
Optimizing Oblique Projections for Nonlinear Systems using Trajectories	7
Parallel-in-time preconditioner for the Sinc-Nyström systems	7

Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	7
Shape Optimization of Peristaltic Pumps Transporting Rigid Particles in Stokes Flow	7
Generative Adversarial Network for Probabilistic Forecast of Random Dynamical Systems	7
Optimization of Hopf Bifurcation Points	7
Well-Balanced and Positivity-Preserving Surface Reconstruction Schemes Solving Ripa Systems With Nonflat Bottom Topography	7
A Novel Density Based Approach for Topology Optimization of Stokes Flow	7
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	7
Linear-Complexity Black-Box Randomized Compression of Rank-Structured Matrices	6
Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation	6
Multivariate Rational Approximation of Functions with Curves of Singularities	6
Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su–Olson Problem	6
Practical Error Bounds for Properties in Plane-Wave Electronic Structure Calculations	6
Data-Driven Balancing of Linear Dynamical Systems	6
Convergence of a Robust Deep FBSDE Method for Stochastic Control	6
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	6
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra	6
Building Hierarchies of Semiclassical Jacobi Polynomials for Spectral Methods in Annuli	6
Numerical Solution of an Identification Problem in Electromyography	6
A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms	6
MGIC: Multigrid-in-Channels Neural Network Architectures	6
Inversion of Eddy-Current Signals Using a Level-Set Method and Block Krylov Solvers	6
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	6
Globally Convergent Multilevel Training of Deep Residual Networks	6
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	6
Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization	6
Graph Neural Reaction Diffusion Models	6
Deep Neural Networks for Solving Large Linear Systems Arising from High-Dimensional Problems	6
A New ParaDiag Time-Parallel Time Integration Method	6
An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations	6
Bayesian Parameter Identification in Impedance Boundary Conditions for Helmholtz Problems	6
Leveraging Multitime Hamilton–Jacobi PDEs for Certain Scientific Machine Learning Problems	6
Iterated Gauss–Seidel GMRES	6
Physics-Aware Deep Learning Framework for the Limited Aperture Inverse Obstacle Scattering Problem	6
A BDF-Spectral Method for a Class of Nonlocal Partial Differential Equations with Long Time Delay	6
Convolution Quadratures Based on Block Generalized Adams Methods	6
Failure-Informed Adaptive Sampling for PINNs	5
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities	5
Scalable Local Timestepping on Octree Grids	5
A Fast Method for Evaluating Volume Potentials in the Galerkin Boundary Element Method	5
Asymptotic Preserving and Uniformly Unconditionally Stable Finite Difference Schemes for Kinetic Transport Equations	5
Evaluation of Inner Products of Implicitly Defined Finite Element Functions on Multiply Connected Planar Mesh Cells	5
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation	5
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	5
Graph Refinement via Simultaneously Low-Rank and Sparse Approximation	5
Special Section: 2021 Copper Mountain Conference	5
Grouped Transformations and Regularization in High-Dimensional Explainable ANOVA Approximation	5
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	5
Parallel Algorithms for Tensor Train Arithmetic	5
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up	5
Numerical Surgery for Mean Curvature Flow of Surfaces	5
Arbitrarily High-Order Conservative Schemes for the Generalized Korteweg--de Vries Equation	5
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	5
A Bayesian Approach to Modeling Biological Pattern Formation with Limited Data	5
Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation	5
A Matrix-Free ILU Realization Based on Surrogates	5
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	5
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	5
Proper Orthogonal Decomposition--Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas	5
Localized Model Reduction for Nonlinear Elliptic Partial Differential Equations: Localized Training, Partition of Unity, and Adaptive Enrichment	5
slimTrain---A Stochastic Approximation Method for Training Separable Deep Neural Networks	5
Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State	5
A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids	5
A Narrow Band Finite Element Method for the Level Set Equation	5
Conditional Monte Carlo for Reaction Networks	5
Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library	5
On the Recursive Structure of Multigrid Cycles	5
A Scalable Algorithm for Shape Optimization with Geometric Constraints in Banach Spaces	5
Filtering for Anderson Acceleration	4
Generalizing Lloyd’s Algorithm for Graph Clustering	4
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	4
Energy-Preserving Continuous-Stage Exponential Runge--Kutta Integrators for Efficiently Solving Hamiltonian Systems	4
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	4
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion	4
Structure-Preserving Neural Networks in Data-Driven Rheological Models	4
Structured Optimization-Based Model Order Reduction for Parametric Systems	4
Boundary Element Methods for Helmholtz Problems With Weakly Imposed Boundary Conditions	4
A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering by Inhomogeneous Objects	4
Integrated Nested Laplace Approximations for Large-Scale Spatiotemporal Bayesian Modeling	4
Differential Equation Based Path Integral for Open Quantum Systems	4
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation Using Compact Implicit Layers	4

Efficient GMRES+AMG on GPUs: Composite Smoothers And Mixed \(\boldsymbol{V}\)-Cycles	4
An Incremental Tensor Train Decomposition Algorithm	4
Space-Time Reduced Basis Methods for Parametrized Unsteady Stokes Equations	4
Randomized Algorithms for Rounding in the Tensor-Train Format	4
Almost Complete Analytical Integration in Galerkin Boundary Element Methods	4
Fully Adaptive Structure-Preserving Hyper-reduction of Parametric Hamiltonian Systems	4
Textbook Efficiency: Massively Parallel Matrix-Free Multigrid for the Stokes System	4
Newton--Noda Iteration for Computing the Ground States of Nonlinear Schrödinger Equations	4
Energetic Variational Neural Network Discretizations of Gradient Flows	4
Finite Element Approximation for the Delayed Generalized Burgers–Huxley Equation with Weakly Singular Kernel: Part II Nonconforming and DG Approximation	4
Low-Order Preconditioning for the High-Order Finite Element de Rham Complex	4
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	4
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations	4
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds	4
A Quadrature Scheme for Steady-State Diffusion Equations Involving Fractional Power of Regularly Accretive Operator	4
A Simulation Method for the Wetting Dynamics of Liquid Droplets on Deformable Membranes	4
Hybridized Discontinuous Galerkin/Hybrid Mixed Methods for a Multiple Network Poroelasticity Model with Application in Biomechanics	4
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	4
Parallel Randomized Tucker Decomposition Algorithms	4
Enabling Hyper-Differential Sensitivity Analysis for Ill-Posed Inverse Problems	4
EnKSGD: A Class of Preconditioned Black Box Optimization and Inversion Algorithms	4
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	4
Two-Phase Segmentation for Intensity Inhomogeneous Images by the Allen--Cahn Local Binary Fitting Model	4
The Sparse-Grid-Based Adaptive Spectral Koopman Method	4
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs	4
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	4
Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations	4
A New Stopping Criterion for Krylov Solvers Applied in Interior Point Methods	4
An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials	4
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	4
Scalable Multiphysics Block Preconditioning for Low Mach Number Compressible Resistive MHD with Application to Magnetic Confinement Fusion	4
Approximate Newton Policy Gradient Algorithms	4
Accelerated Simulation of Boltzmann-BGK Equations near the Diffusive Limit with Asymptotic-Preserving Multilevel Monte Carlo	4
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation	4
Point Spread Function Approximation of High-Rank Hessians with Locally Supported Nonnegative Integral Kernels	4
Making the Nyström Method Highly Accurate for Low-Rank Approximations	3
Finite Time Horizon Mixed Control of Vibrational Systems	3
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	3
A Reduced Conjugate Gradient Basis Method for Fractional Diffusion	3
Wave Scattering in Layered Orthotropic Media I: A Stable PML and a High-Accuracy Boundary Integral Equation Method	3
Piecewise-Global Nonlinear Model Order Reduction for PDE-Constrained Optimization in High-Dimensional Parameter Spaces	3
Robust Virtual Element Methods for Coupled Stress-Assisted Diffusion Problems	3
Asynchronous Multiplicative Coarse-Space Correction	3
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	3
The Local Subtraction Approach for EEG and MEG Forward Modeling	3
A Relaxed Vector Auxiliary Variable Algorithm for Unconstrained Optimization Problems	3
Stable Backward Differentiation Formula Time Discretization of BGN-Based Parametric Finite Element Methods for Geometric Flows	3
Adaptive Resolution of Fine Scales in Modes of Microstructured Optical Fibers	3
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	3
A Domain Decomposition–Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems	3
Conservative and Accurate Solution Transfer Between High-Order and Low-Order Refined Finite Element Spaces	3
Alternating Linear Scheme in a Bayesian Framework for Low-Rank Tensor Approximation	3
A Matrix-Free Exact Newton Method	3
Preconditioning for a Pressure-Robust HDG Discretization of the Stokes Equations	3
Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa--Holm System	3
Stage-Parallel Fully Implicit Runge–Kutta Implementations with Optimal Multilevel Preconditioners at the Scaling Limit	3
Higher Order Extended Dynamic Mode Decomposition Based on the Structured Total Least Squares	3
Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains	3
A Continuation Multiple Shooting Method for Wasserstein Geodesic Equation	3
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	3
Super-Localized Orthogonal Decomposition for High-Frequency Helmholtz Problems	3
Numerical Study of Transient Wigner–Poisson Model for RTDs: Numerical Method and Its Applications	3
A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity	3
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth	3
Adaptive Finite Element Approximations of the First Eigenpair Associated with \({p}\)-Laplacian	3
When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?	3
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	3
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model	3
Computing Solution Space Properties of Combinatorial Optimization Problems Via Generic Tensor Networks	3
Shape Optimization of the Stokes Eigenvalue Problem	3
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations	3
Data-Driven Construction of Hierarchical Matrices With Nested Bases	3
A Micro-Macro Markov Chain Monte Carlo Method for Molecular Dynamics using Reaction Coordinate Proposals	3
Optimized Schwarz Methods for the Cahn–Hilliard Equation	3
Overlapping Domain Decomposition Preconditioner for Integral Equations	3
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation	3
The Runge–Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws	3
High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics	3
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges	3
A One-Dimensional Coarse Preconditioner for Three-Dimensional Unsteady Incompressible Navier–Stokes Flows in Patient-Specific Arteries	3
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	3
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells	3
An Implementation of Tensor Product Patch Smoothers on GPUs	3
A Robust Solver for \({H}\)\((\textrm {curl})\) Convection-Diffusion and Its Local Fourier Analysis	3
Fast Machine-Precision Spectral Likelihoods for Stationary Time Series	3
Rounding Error Using Low Precision Approximate Random Variables	3
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	3
The Numerical Flow Iteration for the Vlasov–Poisson Equation	3
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	3
Adaptive Finite-Difference Interval Estimation for Noisy Derivative-Free Optimization	3
Dynamically Orthogonal Runge–Kutta Schemes with Perturbative Retractions for the Dynamical Low-Rank Approximation	3
A Fast Iterative PDE-Based Algorithm for Feedback Controls of Nonsmooth Mean-Field Control Problems	2
Space-Time Block Preconditioning for Incompressible Flow	2
Multilevel Parareal Algorithm with Averaging for Oscillatory Problems	2
Solving Graph Laplacians via Multilevel Sparsifiers	2