SIAM Journal on Scientific Computing

Article	Citations
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	192
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	114
Hierarchical Low-Rank Arithmetic with Floating Point Compression	101
Structured and Balanced Multicomponent and Multilayer Neural Networks	48
Globally Convergent Multilevel Training of Deep Residual Networks	40
Fast and Scalable FFT-Based GPU-Accelerated Algorithms for Block-Triangular Toeplitz Matrices with Application to Linear Inverse Problems Governed by Autonomous Dynamical Systems	40
Randomized Sketched TT-GMRES for Linear Systems with Tensor Structure	35
Optimization of Hopf Bifurcation Points	34
Discovery of Probabilistic Dirichlet-to-Neumann Maps on Graphs	31
A Preconditioned Riemannian Conjugate Gradient Method to Compute Ground States of Spin-1 Bose–Einstein Condensates	31
A New Rational Approximation Algorithm via the Empirical Interpolation Method	28
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	28
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	27
Evaluation of Resonances: Adaptivity and AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents	27
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	27
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	26
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	26
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	26
Spectral Approximation of Convolution Operators of Fredholm Type	23
A Semianalytic Diagonalization Finite Element Method for the Spectral Fractional Laplacian	23
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	23
High-Order Adaptive Rank Integrators for Multiscale Linear Kinetic Transport Equations in the Hierarchical Tucker Format	22
On High-Order/Low-Order and Micro-Macro Methods for Implicit Time-Stepping of the BGK Model	22
A Hierarchical Approach for Multicontinuum Homogenization in High Contrast Media	22

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

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

Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	9
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	9
Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs	9
A Narrow Band Finite Element Method for the Level Set Equation	9
A Fast and Accurate Solver for the Fractional Fokker–Planck Equation with Dirac-Delta Initial Conditions	9
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	9
A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions	9
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion	9
On a Shrink-and-Expand Technique for Symmetric Block Eigensolvers	9
High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation	9
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	9
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	8
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media	8
Structure-Preserving Neural Networks in Data-Driven Rheological Models	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
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
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth	8
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	8
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	8
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation	8
Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems	8
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	8
An Implementation of Tensor Product Patch Smoothers on GPUs	8
Robust Optimal Experimental Design of Infinite-Dimensional Bayesian Nonlinear Inverse Problems	8
Finite Time Horizon Mixed Control of Vibrational Systems	8
Systematic Construction of Continuous-Time Neural Networks for Linear 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
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	8
Efficient Solution of Parameter Identification Problems with \(H^1\) Regularization	8
A Gradient Flow Model for Ground State Calculations in Wigner Formalism Based on Density Functional Theory	8
An Algebraic Multigrid Method for Oseen Problems	8
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation	8
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	8
Optimized Schwarz Methods for the Cahn–Hilliard Equation	8
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	8
Asynchronous Multiplicative Coarse-Space Correction	8
Introducing Time Parallelization Within Data Assimilation	8
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation	7
Neural Empirical Interpolation Method for Nonlinear Model Reduction	7
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations	7
Active Operator Inference for Learning Low-Dimensional Dynamical-System Models from Noisy Data	7
Error Bound Analysis of the Stochastic Parareal Algorithm	7
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems	7
Inverse Electromagnetic Scattering Problems for Long Tubular Objects	7
Making the Nyström Method Highly Accurate for Low-Rank Approximations	7
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems	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
BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations	7
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations	7
Convergence of Splitting Methods on Rotating Grids for the Magnetized Vlasov Equation	7
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond	7
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells	7
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	7
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms	7
Efficient Algebraic Two-Level Schwarz Preconditioner for Sparse Matrices	7
Multirate Partially Explicit Scheme for Multiscale Flow Problems	7
Adaptive Stepsize Algorithms for Langevin Dynamics	7
An Iterative Reduction FISTA Algorithm for Large-Scale LASSO	7
Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM	7
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data	7
An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory	7
Faster Randomized Partial Trace Estimation	7
Element-wise Multiplication of Tensor Trains	7
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems	7
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems	7
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems	7
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges	7
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics	7
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations	7
Overlapping Domain Decomposition Preconditioner for Integral Equations	7
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains	7
Solving the Boltzmann Equation with a Neural Sparse Representation	7
Efficient Spectral-Element Methods in Polar Coordinates for Complex Geometries with Piecewise-Smooth Boundaries	7
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation	7
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	7
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling	7
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces	7
Rapid Evaluation of Newtonian Potentials on Planar Domains	7
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains	7
Row Replicated Block Cimmino	7
Multirate Exponential Rosenbrock Methods	7
A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds	7
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation	7
IMEX Hermite–Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density	7
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model	7
Hybrid Dealiasing of Complex Convolutions	7
Discovery of Linear Representations for Nonautonomous Translation-Invariant Problems	7
A Multigrid Reduction Framework for Domains with Symmetries	7
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP	7