SIAM Journal on Scientific Computing

Article	Citations
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	211
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	131
Hierarchical Low-Rank Arithmetic with Floating Point Compression	109
Globally Convergent Multilevel Training of Deep Residual Networks	42
Fast and Scalable FFT-Based GPU-Accelerated Algorithms for Block-Triangular Toeplitz Matrices with Application to Linear Inverse Problems Governed by Autonomous Dynamical Systems	42
Optimization of Hopf Bifurcation Points	34
A Preconditioned Riemannian Conjugate Gradient Method to Compute Ground States of Spin-1 Bose–Einstein Condensates	33
Discovery of Probabilistic Dirichlet-to-Neumann Maps on Graphs	32
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	31
A New Rational Approximation Algorithm via the Empirical Interpolation Method	30
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	30
Evaluation of Resonances: Adaptivity and AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents	29
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	29
Structured and Balanced Multicomponent and Multilayer Neural Networks	28
Randomized Sketched TT-GMRES for Linear Systems with Tensor Structure	28
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	27
Transport Quasi-Monte Carlo	27
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	26
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	25
A Semianalytic Diagonalization Finite Element Method for the Spectral Fractional Laplacian	25
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	25
Fast Measure Modification of Orthogonal Polynomials via Matrices with Displacement or Hierarchical Off-Diagonal Low-Rank Structure	24
Optimized Schwarz Methods for Biharmonic Equations	24
Spectral Approximation of Convolution Operators of Fredholm Type	24
Shape Optimization with Ventcel Transmission Condition: Application to the Design of a Heat Exchanger	23

Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	23
On High-Order/Low-Order and Micro-Macro Methods for Implicit Time-Stepping of the BGK Model	23
A Deep Learning Method for Computing Committor Functions with Adaptive Sampling	22
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	22
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	22
Transformed Primal-Dual Methods with Variable Preconditioners	22
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	21
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	21
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	21
Energetic Variational Neural Network Discretizations of Gradient Flows	20
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	20
Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes	19
nuGPR: GPU-Accelerated Gaussian Process Regression with Iterative Algorithms and Low-Rank Approximations	19
New SISC Section on Scientific Machine Learning	19
A Hybridizable Discontinuous Galerkin Method with Transmission Variables for Time-Harmonic Electromagnetic Problems	19
A Hierarchical Approach for Multicontinuum Homogenization in High Contrast Media	19
High-Order Adaptive Rank Integrators for Multiscale Linear Kinetic Transport Equations in the Hierarchical Tucker Format	19
Isometric Simplices for High-Order Anisotropic Mesh Adaptation. Part I: Definition and Existence of Isometric Triangulations	18
Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares	18
A Null Infinity Layer for Wave Scattering	18
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes	18
Deep Learning without Global Optimization by Random Fourier Neural Networks	18
Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators	18
Parameter-Robust Preconditioner for Stokes-Darcy Coupled Problem with Lagrange Multiplier	17
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs	17
Efficient, Decoupled, Second and Third-Order Implicit-Explicit Runge–Kutta Schemes with Original-Form Energy Stability for the Anisotropic Phase-Field Dendritic Growth Model	17
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations	17
Shape Optimization of Slip-Driven Axisymmetric Microswimmers	17
Goal-Oriented Adaptivity for Multilevel Stochastic Galerkin FEM with Nonlinear Goal Functionals	17
Enhancing ZFP: A Statistical Approach to Understanding and Reducing Error Bias in a Lossy Floating-Point Compression Algorithm	17
Learning WENO for Entropy Stable Schemes to Solve Conservation Laws	16
Multigrid Methods Using Block Floating Point Arithmetic	16
Fast and Accurate Intersections on a Sphere	16
Functional Tensor Singular Value Decomposition	16
Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations	16
DeepMartNet: A Martingale-Based Deep Neural Network Learning Method for Dirichlet BVPs and Eigenvalue Problems of Elliptic PDEs in \(\mathbb{R}\)\(^{d}\)	16
An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model	16
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics	16
PLSS: A Projected Linear Systems Solver	15
An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition	15
An Adaptive Multimesh Rational Approximation Scheme for the Spectral Fractional Laplacian	15
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations	15
A Time-Dependent Phase Space Filter for Anisotropic Wave Equations on Unbounded Domains	15
A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System	15
On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs	15
Multilevel Regularized Newton Methods with Fast Convergence Rates	15
Rounding-Error Analysis of Multigrid \({V}\)-Cycles	15
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks	15
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance	15
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman--Kac Formula of Killed Brownian Motions	15

Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation	14
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations	14
Erratum: Spectral Analysis of Implicit \(\boldsymbol{s}\)-Stage Block Runge–Kutta Preconditioners	14
A Robust Algebraic Multilevel Domain Decomposition Preconditioner for Sparse Symmetric Positive Definite Matrices	14
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion	14
High-Order Finite Difference AWENO Lagrangian Scheme for the Multidimensional Compressible Euler Equations in Curvilinear Coordinates	14
Randomized Block Gram–Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems	14
Flow in Porous Media with Fractures of Varying Aperture	14
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems	14
Stopping Rules for Monte Carlo Methods of Martingale Difference Type	14
Machine Learning-Based Parameter Optimization for Müntz Spectral Methods	14
A Simple and Fast Finite Difference Method for the Integral Fractional Laplacian of Variable Order	14
Monte Carlo–Moments Micro-Macro Parareal Method for Unimodal and Bimodal Scalar McKean–Vlasov SDEs	14
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations	14
An Adaptive Data Sampling Strategy for Stabilizing Dynamical Systems via Controller Inference	13
Rational Function Approximation with Normalized Positive Denominators	13
Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement	13
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces	13
Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains	13
Bound-Preserving and Positivity-Preserving Analysis of Direct Arbitrary Lagrangian-Eulerian Finite Volume Scheme for Compressible Two-Medium Flows with Stiffened Gas Equation of State	13
Streaming Tensor Train Approximation	13
Spectral Deferred Correction Methods for Second-Order Problems	13
Approximating the Shape Operator with the Surface Hellan–Herrmann–Johnson Element	13
Multilevel Particle Filters for a Class of Partially Observed Piecewise Deterministic Markov Processes	13
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation	13
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems	13
Fredholm Neural Networks	13
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds	13
Time-Domain Iterative Rational Krylov Method	13
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces	13
Helicity-Preserving Finite Element Discretization for Magnetic Relaxation	13
An Implicit Well-Posed Lagrangian Scheme for Nonviscous Compressible Fluids in High Dimension	12
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations	12
High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides	12
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem	12
Special Section: 2022 Copper Mountain Conference on Iterative Methods	12
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation	12
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems	12
A Nonnested Augmented Subspace Method for the Poisson–Boltzmann Equation	12
Parameter-Robust Preconditioning for Hybridizable Symmetric Discretizations	12
Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force	12
Deep Picard Iteration for High-Dimensional Nonlinear PDEs	11
A Divergence Preserving Cut Finite Element Method for Darcy Flow	11
Efficient Neural Network Approaches for Conditional Optimal Transport with Applications in Bayesian Inference	11
Fast and Robust Consensus-Based Optimization via Optimal Feedback Control	11
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators	11
A Multiscale Hybrid Method	11
Exploiting Inexact Computations in Multilevel Monte Carlo and Other Sampling Methods	11
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation	11
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models	11
A Minibatch Method for Solving Nonlinear PDEs with Gaussian Processes	11
Distributed Memory Parallel Adaptive Tensor-Train Cross Approximation	11
Modified TASE Runge–Kutta Methods for Integrating Stiff Differential Equations	11
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs	11
Consensus-Based Rare Event Estimation	11
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation	11
Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design	11
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport	11
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective	11
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices	11
Efficient Prior Calibration from Indirect Data	11
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	11
A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram–Schmidt	11
An \({O(N)}\) Helmholtz Solver Using WaveHoltz and Overset Grids	11
Preconditioned Pseudo-time Continuation for Parameterized Inverse Problems	10
Improving Greedy Algorithms for Rational Approximation	10
A Gradient-Flow Approach for Combined Layout-Control Design of Wave Energy Parks	10
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	10
On a Shrink-and-Expand Technique for Symmetric Block Eigensolvers	10
Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem	10
MGIC: Multigrid-in-Channels Neural Network Architectures	10
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	10
Probabilistic Error Analysis of Limited-Precision Stochastic Rounding	10
Convolution Quadratures Based on Block Generalized Adams Methods	10
Data-Driven Balanced Truncation for Second-Order Systems with Generalized Proportional Damping	10
Neural Network–Based High-Index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape	10
Finite Element-Based Space-Time Total-Variation-Type Regularization of the Inverse Problem in Electrocardiographic Imaging	10
Sub-ODEs Simplify Taylor Series Algorithms for Ordinary Differential Equations	10
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation	10
A Fast and Accurate Solver for the Fractional Fokker–Planck Equation with Dirac-Delta Initial Conditions	10

On a Class of Multifidelity Methods for the Semiclassical Schrödinger Equation with Uncertainties	10
Optimized Schwarz Methods for the Cahn–Hilliard Equation	9
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	9
High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation	9
Fast Phase Factor Finding for Quantum Signal Processing	9
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	9
A Narrow Band Finite Element Method for the Level Set Equation	9
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	9
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	9
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	9
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation	9
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations	9
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	9
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	9
Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs	9
A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions	9
Discovery of Linear Representations for Nonautonomous Translation-Invariant Problems	8
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model	8
Fully Discrete Energy-Dissipative and Conservative Discrete Gradient Particle Methods for a Class of Continuity Equations	8
Minimization of the Pseudospectral Abscissa of a Quadratic Matrix Polynomial	8
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	8
Local MALA-within-Gibbs for Bayesian Image Deblurring with Total Variation Prior	8
Finite Time Horizon Mixed Control of Vibrational Systems	8
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion	8
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	8
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media	8
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges	8
APTT: Accuracy-Preserved Tensor-Train Method for the Boltzmann-BGK Equation	8
A Gradient Flow Model for Ground State Calculations in Wigner Formalism Based on Density Functional Theory	8
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	8
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	8
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth	8
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation	8
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	8
Systematic Construction of Continuous-Time Neural Networks for Linear Dynamical Systems	8
Variational Bayesian Inference for Tensor Robust Principal Component Analysis	8
Efficient Solution of Parameter Identification Problems with \(H^1\) Regularization	8
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations	8
A Multigrid Reduction Framework for Domains with Symmetries	8
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems	8
An Implementation of Tensor Product Patch Smoothers on GPUs	8
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation	8
Structure-Preserving Neural Networks in Data-Driven Rheological Models	8
An Algebraic Multigrid Method for Oseen Problems	8
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	8
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	8
Robust Optimal Experimental Design of Infinite-Dimensional Bayesian Nonlinear Inverse Problems	8
Introducing Time Parallelization Within Data Assimilation	8
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	8
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP	7
Inverse Electromagnetic Scattering Problems for Long Tubular Objects	7
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	7
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics	7
Convergence of Splitting Methods on Rotating Grids for the Magnetized Vlasov Equation	7
Hybrid Dealiasing of Complex Convolutions	7
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data	7
Multiscale Scattered Data Analysis in Samplet Coordinates	7
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling	7
Multirate Exponential Rosenbrock Methods	7
Neural Network Tearing and Interconnecting Methods for PDEs	7
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations	7
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems	7
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems	7
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond	7
Element-wise Multiplication of Tensor Trains	7
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation	7
Active Operator Inference for Learning Low-Dimensional Dynamical-System Models from Noisy Data	7
Making the Nyström Method Highly Accurate for Low-Rank Approximations	7
Faster Randomized Partial Trace Estimation	7
Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems	7
Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM	7
Error Bound Analysis of the Stochastic Parareal Algorithm	7
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces	7
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations	7
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations	7
Interior Penalty Discontinuous Galerkin Methods for the Nearly Incompressible Elasticity Eigenvalue Problem with Heterogeneous Media	7
IMEX Hermite–Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density	7
Adaptive Stepsize Algorithms for Langevin Dynamics	7
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms	7
BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations	7
Efficient Spectral-Element Methods in Polar Coordinates for Complex Geometries with Piecewise-Smooth Boundaries	7
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells	7
Neural Empirical Interpolation Method for Nonlinear Model Reduction	7
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation	7
Row Replicated Block Cimmino	7
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems	7
Restricted Additive Schwarz Algorithm with Schur Complement for Bound-Preserving Solution of Geological Carbon Sequestration	7
Rapid Evaluation of Newtonian Potentials on Planar Domains	7
Overlapping Domain Decomposition Preconditioner for Integral Equations	7
A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds	7
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains	7
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation	7
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	7
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation	7
Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems	6