SIAM Journal on Scientific Computing

Article	Citations
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	62
Fast Expansion into Harmonics on the Disk: A Steerable Basis with Fast Radial Convolutions	48
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	43
Code Generation and Performance Engineering for Matrix-Free Finite Element Methods on Hybrid Tetrahedral Grids	30
A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions	22
Numerical Solution of a Matrix Integral Equation Arising in Markov-Modulated Lévy Processes	22
An Efficient Multiscale Preconditioner for Large-Scale Highly Heterogeneous Flow	22
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations	21
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	17
Multilevel Spectral Domain Decomposition	16
Reflectionless Discrete Perfectly Matched Layers for Higher-Order Finite Difference Schemes	16
A Robust Two-Level Overlapping Preconditioner for Darcy Flow in High-Contrast Media	16
Partitioning and Reordering for Spike-Based Distributed-Memory Parallel Gauss--Seidel	15
Efficient Upwind Finite-Difference Schemes for Wave Equations on Overset Grids	15
A Framework for Error-Bounded Approximate Computing, with an Application to Dot Products	14
Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions	14
Bayesian Parameter Identification in Impedance Boundary Conditions for Helmholtz Problems	14
Stable Rank-Adaptive Dynamically Orthogonal Runge–Kutta Schemes	13
A Directional Equispaced Interpolation-Based Fast Multipole Method for Oscillatory Kernels	13
A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations	13
MG-FIM: A Multi-GPU Fast Iterative Method Using Adaptive Domain Decomposition	12
Nonnegative Tensor Decomposition via Collaborative Neurodynamic Optimization	12
A Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility Constraints	12
Proper Orthogonal Decomposition--Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas	12
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	11

Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation	11
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	11
Adaptive Space-Time Domain Decomposition for Multiphase Flow in Porous Media with Bound Constraints	10
Black Box Approximation in the Tensor Train Format Initialized by ANOVA Decomposition	10
Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree	10
Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-informed Deep Generative Models	10
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	10
An Adaptive Covariance Parameterization Technique for the Ensemble Gaussian Mixture Filter	10
Multivariate Hermite Interpolation on Riemannian Manifolds	10
Hermitian Preconditioning for a Class of Non-Hermitian Linear Systems	10
Adaptivity in Local Kernel Based Methods for Approximating the Action of Linear Operators	9
Bounds on Nonlinear Errors for Variance Computation with Stochastic Rounding	9
Polynomial Chaos Expansions for Stiff Random ODEs	9
An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps	9
Hybrid Projection Methods for Solution Decomposition in Large-Scale Bayesian Inverse Problems	9
Numerical Solver for the Boltzmann Equation with Self-Adaptive Collision Operators	9
Practical Error Bounds for Properties in Plane-Wave Electronic Structure Calculations	9
A Global Optimization Approach for Multimarginal Optimal Transport Problems with Coulomb Cost	9
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	9
Interpolating Parametrized Quantum Circuits Using Blackbox Queries	9
Iterative Methods of Linearized Moment Equations for Rarefied Gases	8
Doubly Monotonic Constraint on Interpolators: Bridging Second-Order to Singularity Preservation to Cancel “Numerical Wetting” in Transport Schemes	8
\(\boldsymbol{\mathcal{L}_2}\)-Optimal Reduced-Order Modeling Using Parameter-Separable Forms	8
On the Convergence of Monolithic Multigrid for Implicit Runge–Kutta Time Stepping of Finite Element Problems	8
Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control	8
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	8
Multigrid Reduction in Time for Chaotic Dynamical Systems	8
A First-Order Reduced Model for a Highly Oscillating Differential Equation with Application in Penning Traps	8
Learning Robust Marking Policies for Adaptive Mesh Refinement	8
Special Section: 2023 Copper Mountain Conference	8
Robust Multigrid Techniques for Augmented Lagrangian Preconditioning of Incompressible Stokes Equations with Extreme Viscosity Variations	7
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	7
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations	7
Optimizing Oblique Projections for Nonlinear Systems using Trajectories	7
Improving Efficiency of Parallel Across the Method Spectral Deferred Corrections	7
Personalized Algorithm Generation: A Case Study in Learning ODE Integrators	7
Grouped Transformations and Regularization in High-Dimensional Explainable ANOVA Approximation	7
Streaming Compression of Scientific Data via Weak-SINDy	7
Optimization of Hopf Bifurcation Points	7
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities	7
A Scalable Deep Learning Approach for Solving High-Dimensional Dynamic Optimal Transport	7
Generative Adversarial Network for Probabilistic Forecast of Random Dynamical Systems	7
High-Order Mass- and Energy-Conserving Methods for the Nonlinear Schrödinger Equation	7
Riemannian Natural Gradient Methods	7
A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows	6
Multivariate Rational Approximation of Functions with Curves of Singularities	6
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	6
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	6
Structured Gradient Descent for Fast Robust Low-Rank Hankel Matrix Completion	6
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	6

A Novel Density Based Approach for Topology Optimization of Stokes Flow	6
A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms	6
An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations	6
Building Hierarchies of Semiclassical Jacobi Polynomials for Spectral Methods in Annuli	6
Graph Neural Reaction Diffusion Models	6
A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner–Coulomb Dynamics	6
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	6
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	6
Shape Optimization of Peristaltic Pumps Transporting Rigid Particles in Stokes Flow	6
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	6
A BDF-Spectral Method for a Class of Nonlocal Partial Differential Equations with Long Time Delay	6
Linear-Complexity Black-Box Randomized Compression of Rank-Structured Matrices	6
Parallel-in-time preconditioner for the Sinc-Nyström systems	6
Well-Balanced and Positivity-Preserving Surface Reconstruction Schemes Solving Ripa Systems With Nonflat Bottom Topography	6
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	6
Failure-Informed Adaptive Sampling for PINNs	6
MGIC: Multigrid-in-Channels Neural Network Architectures	5
A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates	5
Data-Driven Balancing of Linear Dynamical Systems	5
On the Recursive Structure of Multigrid Cycles	5
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth	5
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra	5
Numerical Solution of an Identification Problem in Electromyography	5
Convergence of a Robust Deep FBSDE Method for Stochastic Control	5
Globally Convergent Multilevel Training of Deep Residual Networks	5
Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation	5
Inversion of Eddy-Current Signals Using a Level-Set Method and Block Krylov Solvers	5
Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library	5
Special Section: 2021 Copper Mountain Conference	5
A Scalable Algorithm for Shape Optimization with Geometric Constraints in Banach Spaces	5
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	5
Deep Neural Networks for Solving Large Linear Systems Arising from High-Dimensional Problems	5
Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization	5
Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems	5
A New ParaDiag Time-Parallel Time Integration Method	5
Leveraging Multitime Hamilton–Jacobi PDEs for Certain Scientific Machine Learning Problems	5
A Matrix-Free ILU Realization Based on Surrogates	5
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	5
The Sparse-Grid-Based Adaptive Spectral Koopman Method	5
Graph Refinement via Simultaneously Low-Rank and Sparse Approximation	5
Convolution Quadratures Based on Block Generalized Adams Methods	5
Iterated Gauss–Seidel GMRES	5
Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su–Olson Problem	5
Asymptotic Preserving and Uniformly Unconditionally Stable Finite Difference Schemes for Kinetic Transport Equations	4
Newton--Noda Iteration for Computing the Ground States of Nonlinear Schrödinger Equations	4
When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?	4
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	4
Conditional Monte Carlo for Reaction Networks	4
Two-Phase Segmentation for Intensity Inhomogeneous Images by the Allen--Cahn Local Binary Fitting Model	4
Piecewise-Global Nonlinear Model Order Reduction for PDE-Constrained Optimization in High-Dimensional Parameter Spaces	4
An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials	4
Energetic Variational Neural Network Discretizations of Gradient Flows	4
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	4
Accelerated Simulation of Boltzmann-BGK Equations near the Diffusive Limit with Asymptotic-Preserving Multilevel Monte Carlo	4
Generalizing Lloyd’s Algorithm for Graph Clustering	4
Differential Equation Based Path Integral for Open Quantum Systems	4
Scalable Local Timestepping on Octree Grids	4
Almost Complete Analytical Integration in Galerkin Boundary Element Methods	4
Numerical Surgery for Mean Curvature Flow of Surfaces	4
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	4
A Bayesian Approach to Modeling Biological Pattern Formation with Limited Data	4
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion	4
Alternating Linear Scheme in a Bayesian Framework for Low-Rank Tensor Approximation	4
Evaluation of Inner Products of Implicitly Defined Finite Element Functions on Multiply Connected Planar Mesh Cells	4
An Incremental Tensor Train Decomposition Algorithm	4
Super-Localized Orthogonal Decomposition for High-Frequency Helmholtz Problems	4
Boundary Element Methods for Helmholtz Problems With Weakly Imposed Boundary Conditions	4
slimTrain---A Stochastic Approximation Method for Training Separable Deep Neural Networks	4
Parallel Algorithms for Tensor Train Arithmetic	4
A Domain Decomposition–Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems	4
A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering by Inhomogeneous Objects	4
Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains	4
Filtering for Anderson Acceleration	4
Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State	4
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up	4
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	4
Arbitrarily High-Order Conservative Schemes for the Generalized Korteweg--de Vries Equation	4
Energy-Preserving Continuous-Stage Exponential Runge--Kutta Integrators for Efficiently Solving Hamiltonian Systems	4
Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation	4
Parallel Randomized Tucker Decomposition Algorithms	4

Hybridized Discontinuous Galerkin/Hybrid Mixed Methods for a Multiple Network Poroelasticity Model with Application in Biomechanics	4
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation	4
A Fast Method for Evaluating Volume Potentials in the Galerkin Boundary Element Method	4
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	4
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	3
A Quadrature Scheme for Steady-State Diffusion Equations Involving Fractional Power of Regularly Accretive Operator	3
A One-Dimensional Coarse Preconditioner for Three-Dimensional Unsteady Incompressible Navier–Stokes Flows in Patient-Specific Arteries	3
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	3
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	3
Efficient GMRES+AMG on GPUs: Composite Smoothers And Mixed \(\boldsymbol{V}\)-Cycles	3
A New Stopping Criterion for Krylov Solvers Applied in Interior Point Methods	3
Adaptive Resolution of Fine Scales in Modes of Microstructured Optical Fibers	3
Adaptive Finite-Difference Interval Estimation for Noisy Derivative-Free Optimization	3
Approximate Newton Policy Gradient Algorithms	3
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	3
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	3
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds	3
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	3
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	3
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	3
Finite Element Approximation for the Delayed Generalized Burgers–Huxley Equation with Weakly Singular Kernel: Part II Nonconforming and DG Approximation	3
Rounding Error Using Low Precision Approximate Random Variables	3
Finite Time Horizon Mixed Control of Vibrational Systems	3
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation	3
Data-Driven Construction of Hierarchical Matrices With Nested Bases	3
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	3
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	3
Fast Machine-Precision Spectral Likelihoods for Stationary Time Series	3
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation Using Compact Implicit Layers	3
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	3
Adaptive Finite Element Approximations of the First Eigenpair Associated with \({p}\)-Laplacian	3
Integrated Nested Laplace Approximations for Large-Scale Spatiotemporal Bayesian Modeling	3
Scalable Multiphysics Block Preconditioning for Low Mach Number Compressible Resistive MHD with Application to Magnetic Confinement Fusion	3
EnKSGD: A Class of Preconditioned Black Box Optimization and Inversion Algorithms	3
Enabling Hyper-Differential Sensitivity Analysis for Ill-Posed Inverse Problems	3
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	3
Fully Adaptive Structure-Preserving Hyper-reduction of Parametric Hamiltonian Systems	3
Low-Order Preconditioning for the High-Order Finite Element de Rham Complex	3
A Reduced Conjugate Gradient Basis Method for Fractional Diffusion	3
Shape Optimization of the Stokes Eigenvalue Problem	3
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	3
Optimized Schwarz Methods for the Cahn–Hilliard Equation	3
A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids	3
Computing Solution Space Properties of Combinatorial Optimization Problems Via Generic Tensor Networks	3
High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics	3
Textbook Efficiency: Massively Parallel Matrix-Free Multigrid for the Stokes System	3
A Relaxed Vector Auxiliary Variable Algorithm for Unconstrained Optimization Problems	3
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations	3
Localized Model Reduction for Nonlinear Elliptic Partial Differential Equations: Localized Training, Partition of Unity, and Adaptive Enrichment	3
A Simulation Method for the Wetting Dynamics of Liquid Droplets on Deformable Membranes	3
Structured Optimization-Based Model Order Reduction for Parametric Systems	3
Point Spread Function Approximation of High-Rank Hessians with Locally Supported Nonnegative Integral Kernels	3
Space-Time Reduced Basis Methods for Parametrized Unsteady Stokes Equations	3
Asynchronous Multiplicative Coarse-Space Correction	3
Randomized Algorithms for Rounding in the Tensor-Train Format	3
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs	3
A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity	3
Structure-Preserving Neural Networks in Data-Driven Rheological Models	3
Stable Backward Differentiation Formula Time Discretization of BGN-Based Parametric Finite Element Methods for Geometric Flows	3