SIAM Journal on Scientific Computing

Article	Citations
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	179
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	112
Hierarchical Low-Rank Arithmetic with Floating Point Compression	101
Polynomial Chaos Expansions for Stiff Random ODEs	57
Structured and Balanced Multicomponent and Multilayer Neural Networks	46
Globally Convergent Multilevel Training of Deep Residual Networks	39
Fast and Scalable FFT-Based GPU-Accelerated Algorithms for Block-Triangular Toeplitz Matrices with Application to Linear Inverse Problems Governed by Autonomous Dynamical Systems	37
Randomized Sketched TT-GMRES for Linear Systems with Tensor Structure	33
Optimization of Hopf Bifurcation Points	33
A Preconditioned Riemannian Conjugate Gradient Method to Compute Ground States of Spin-1 Bose–Einstein Condensates	31
Discovery of Probabilistic Dirichlet-to-Neumann Maps on Graphs	28
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	27
A New Rational Approximation Algorithm via the Empirical Interpolation Method	27
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	27
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	26
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	26
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	26
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	26
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	25
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	24
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	23
Spectral Approximation of Convolution Operators of Fredholm Type	23
Optimized Schwarz Methods for Biharmonic Equations	23
A Semianalytic Diagonalization Finite Element Method for the Spectral Fractional Laplacian	23
A Hierarchical Approach for Multicontinuum Homogenization in High Contrast Media	22

High-Order Adaptive Rank Integrators for Multiscale Linear Kinetic Transport Equations in the Hierarchical Tucker Format	22
Energetic Variational Neural Network Discretizations of Gradient Flows	22
On High-Order/Low-Order and Micro-Macro Methods for Implicit Time-Stepping of the BGK Model	21
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations	21
nuGPR: GPU-Accelerated Gaussian Process Regression with Iterative Algorithms and Low-Rank Approximations	21
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	20
A Deep Learning Method for Computing Committor Functions with Adaptive Sampling	20
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	20
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	20
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	20
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs	20
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	20
Shape Optimization with Ventcel Transmission Condition: Application to the Design of a Heat Exchanger	19
Fast Measure Modification of Orthogonal Polynomials via Matrices with Displacement or Hierarchical Off-Diagonal Low-Rank Structure	18
Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes	18
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations	18
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	18
Transformed Primal-Dual Methods with Variable Preconditioners	18
Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators	18
New SISC Section on Scientific Machine Learning	18
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs	18
Isometric Simplices for High-Order Anisotropic Mesh Adaptation. Part I: Definition and Existence of Isometric Triangulations	17
Enhancing ZFP: A Statistical Approach to Understanding and Reducing Error Bias in a Lossy Floating-Point Compression Algorithm	17
Deep Learning without Global Optimization by Random Fourier Neural Networks	17
DeepMartNet: A Martingale-Based Deep Neural Network Learning Method for Dirichlet BVPs and Eigenvalue Problems of Elliptic PDEs in \(\mathbb{R}\)\(^{d}\)	17
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes	16
Functional Tensor Singular Value Decomposition	16
An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model	16
Learning WENO for Entropy Stable Schemes to Solve Conservation Laws	16
Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares	16
Multigrid Methods Using Block Floating Point Arithmetic	16
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics	15
Parameter-Robust Preconditioner for Stokes-Darcy Coupled Problem with Lagrange Multiplier	15
A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems	15
Shape Optimization of Slip-Driven Axisymmetric Microswimmers	15
Efficient, Decoupled, Second and Third-Order Implicit-Explicit Runge–Kutta Schemes with Original-Form Energy Stability for the Anisotropic Phase-Field Dendritic Growth Model	15
Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations	15
Goal-Oriented Adaptivity for Multilevel Stochastic Galerkin FEM with Nonlinear Goal Functionals	15
Fast and Accurate Intersections on a Sphere	15
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics	15
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations	14
A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System	14
On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs	14
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems	14
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance	14
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman--Kac Formula of Killed Brownian Motions	14
PLSS: A Projected Linear Systems Solver	14
A Time-Dependent Phase Space Filter for Anisotropic Wave Equations on Unbounded Domains	14
Randomized Block Gram–Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems	14
Rounding-Error Analysis of Multigrid \({V}\)-Cycles	14

An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition	14
Multilevel Regularized Newton Methods with Fast Convergence Rates	14
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion	14
Flow in Porous Media with Fractures of Varying Aperture	13
A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability	13
Fredholm Neural Networks	13
A Simple and Fast Finite Difference Method for the Integral Fractional Laplacian of Variable Order	13
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation	13
Monte Carlo–Moments Micro-Macro Parareal Method for Unimodal and Bimodal Scalar McKean–Vlasov SDEs	13
Spectral Deferred Correction Methods for Second-Order Problems	13
Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement	13
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks	13
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations	13
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations	13
Erratum: Spectral Analysis of Implicit \(\boldsymbol{s}\)-Stage Block Runge–Kutta Preconditioners	13
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds	13
Time-Domain Iterative Rational Krylov Method	13
A Robust Algebraic Multilevel Domain Decomposition Preconditioner for Sparse Symmetric Positive Definite Matrices	13
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations	12
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces	12
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions	12
An Implicit Well-Posed Lagrangian Scheme for Nonviscous Compressible Fluids in High Dimension	12
Helicity-Preserving Finite Element Discretization for Magnetic Relaxation	12
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation	12
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces	12
Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes	12
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	12
Approximating the Shape Operator with the Surface Hellan–Herrmann–Johnson Element	12
Streaming Tensor Train Approximation	12
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem	12
Rational Function Approximation with Normalized Positive Denominators	12
Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains	12
Multilevel Particle Filters for a Class of Partially Observed Piecewise Deterministic Markov Processes	12
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems	12
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation	12
Special Section: 2022 Copper Mountain Conference on Iterative Methods	12
Deep Ritz Method for the Spectral Fractional Laplacian Equation Using the Caffarelli--Silvestre Extension	12
Exploiting Inexact Computations in Multilevel Monte Carlo and Other Sampling Methods	11
Modified TASE Runge–Kutta Methods for Integrating Stiff Differential Equations	11
A Nonnested Augmented Subspace Method for the Poisson–Boltzmann Equation	11
Parameter-Robust Preconditioning for Hybridizable Symmetric Discretizations	11
Efficient Neural Network Approaches for Conditional Optimal Transport with Applications in Bayesian Inference	11
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs	11
Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design	11
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	11
High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides	11
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models	11
Consensus-Based Rare Event Estimation	11
Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force	11
Fast and Robust Consensus-Based Optimization via Optimal Feedback Control	11
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective	11
A Multiscale Hybrid Method	11
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators	11
A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram–Schmidt	11
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices	11
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation	11
Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem	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 Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	10
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	10
Efficient Prior Calibration from Indirect Data	10
A Divergence Preserving Cut Finite Element Method for Darcy Flow	10
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport	10
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	10
On a Class of Multifidelity Methods for the Semiclassical Schrödinger Equation with Uncertainties	10
Convolution Quadratures Based on Block Generalized Adams Methods	10
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	10
MGIC: Multigrid-in-Channels Neural Network Architectures	10
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems	10
Finite Element-Based Space-Time Total-Variation-Type Regularization of the Inverse Problem in Electrocardiographic Imaging	10
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	10
Improving Greedy Algorithms for Rational Approximation	10
Probabilistic Error Analysis of Limited-Precision Stochastic Rounding	10
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	10
A Gradient-Flow Approach for Combined Layout-Control Design of Wave Energy Parks	10
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation	10
Distributed Memory Parallel Adaptive Tensor-Train Cross Approximation	10
Deep Picard Iteration for High-Dimensional Nonlinear PDEs	10
A Fast and Accurate Solver for the Fractional Fokker–Planck Equation with Dirac-Delta Initial Conditions	9

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