SIAM Journal on Scientific Computing

Article	Citations
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	148
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	93
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	87
Randomized Sketched TT-GMRES for Linear Systems with Tensor Structure	54
Optimization of Hopf Bifurcation Points	41
Hierarchical Low-Rank Arithmetic with Floating Point Compression	39
A New Rational Approximation Algorithm via the Empirical Interpolation Method	36
Polynomial Chaos Expansions for Stiff Random ODEs	35
Structured and Balanced Multicomponent and Multilayer Neural Networks	33
Globally Convergent Multilevel Training of Deep Residual Networks	29
Fast and Scalable FFT-Based GPU-Accelerated Algorithms for Block-Triangular Toeplitz Matrices with Application to Linear Inverse Problems Governed by Autonomous Dynamical Systems	29
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	28
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	28
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	27
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	26
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	25
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	25
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs	24
Optimized Schwarz Methods for Biharmonic Equations	23
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	23
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	23
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	23
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	22
Spectral Approximation of Convolution Operators of Fredholm Type	22

On High-Order/Low-Order and Micro-Macro Methods for Implicit Time-Stepping of the BGK Model	21
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	21
nuGPR: GPU-Accelerated Gaussian Process Regression with Iterative Algorithms and Low-Rank Approximations	21
A Deep Learning Method for Computing Committor Functions with Adaptive Sampling	20
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	20
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations	20
Energetic Variational Neural Network Discretizations of Gradient Flows	20
Shape Optimization of Slip-Driven Axisymmetric Microswimmers	19
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	19
Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes	19
High-Order Adaptive Rank Integrators for Multiscale Linear Kinetic Transport Equations in the Hierarchical Tucker Format	19
Transformed Primal-Dual Methods with Variable Preconditioners	19
New SISC Section on Scientific Machine Learning	19
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	19
A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems	18
Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators	18
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs	18
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations	18
An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model	17
Multigrid Methods Using Block Floating Point Arithmetic	17
Functional Tensor Singular Value Decomposition	17
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics	17
Deep Learning without Global Optimization by Random Fourier Neural Networks	17
Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares	16
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics	16
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes	16
Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations	16
Learning WENO for Entropy Stable Schemes to Solve Conservation Laws	16
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance	15
Multilevel Regularized Newton Methods with Fast Convergence Rates	15
Rounding-Error Analysis of Multigrid \({V}\)-Cycles	15
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman--Kac Formula of Killed Brownian Motions	15
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations	15
A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System	15
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion	15
Randomized Block Gram–Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems	15
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations	15
PLSS: A Projected Linear Systems Solver	14
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations	14
An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition	14
Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs	14
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation	14
On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs	14
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations	14
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks	14
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems	14
A Robust Algebraic Multilevel Domain Decomposition Preconditioner for Sparse Symmetric Positive Definite Matrices	14
A Mixed-Integer PDE-Constrained Optimization Formulation for Electromagnetic Cloaking	13
Monte Carlo–Moments Micro-Macro Parareal Method for Unimodal and Bimodal Scalar McKean–Vlasov SDEs	13
Flow in Porous Media with Fractures of Varying Aperture	13

Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement	13
A Shape-Newton Approach to the Problem of Covering with Identical Balls	13
Erratum: Spectral Analysis of Implicit \(\boldsymbol{s}\)-Stage Block Runge–Kutta Preconditioners	13
Time-Domain Iterative Rational Krylov Method	13
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces	13
Rational Function Approximation with Normalized Positive Denominators	13
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations	13
Fredholm Neural Networks	12
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation	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
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
Spectral Deferred Correction Methods for Second-Order Problems	12
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems	12
Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes	12
Approximating the Shape Operator with the Surface Hellan–Herrmann–Johnson Element	12
A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability	12
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds	12
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions	12
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces	12
An Implicit Well-Posed Lagrangian Scheme for Nonviscous Compressible Fluids in High Dimension	11
A Nonnested Augmented Subspace Method for the Poisson–Boltzmann Equation	11
Streaming Tensor Train Approximation	11
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation	11
Efficient Prior Calibration from Indirect Data	11
SOTT: Greedy Approximation of a Tensor as a Sum of Tensor Trains	11
Modified TASE Runge–Kutta Methods for Integrating Stiff Differential Equations	11
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems	11
Deep Ritz Method for the Spectral Fractional Laplacian Equation Using the Caffarelli--Silvestre Extension	11
Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design	11
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem	11
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation	11
A Multiscale Hybrid Method	11
Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem	11
PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order Sensitivity Analysis	11
Special Section: 2022 Copper Mountain Conference on Iterative Methods	11
High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides	11
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport	11
A Divergence Preserving Cut Finite Element Method for Darcy Flow	11
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	10
A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates	10
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	10
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models	10
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators	10
A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram–Schmidt	10
MGIC: Multigrid-in-Channels Neural Network Architectures	10
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	10
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	10
Efficient Neural Network Approaches for Conditional Optimal Transport with Applications in Bayesian Inference	10
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs	10
Parameter-Robust Preconditioning for Hybridizable Symmetric Discretizations	10
Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force	10
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	10
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	10
Consensus-Based Rare Event Estimation	10
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective	10
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation	10
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices	10
On a Class of Multifidelity Methods for the Semiclassical Schrödinger Equation with Uncertainties	9
Improving Greedy Algorithms for Rational Approximation	9
Finite Element-Based Space-Time Total-Variation-Type Regularization of the Inverse Problem in Electrocardiographic Imaging	9
Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation	9
Optimized Schwarz Methods for the Cahn–Hilliard Equation	9
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	9
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	9
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation	9
Sub-ODEs Simplify Taylor Series Algorithms for Ordinary Differential Equations	9
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	9
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	9
High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation	9
Finite Time Horizon Mixed Control of Vibrational Systems	9
A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions	9
Convolution Quadratures Based on Block Generalized Adams Methods	9
Probabilistic Error Analysis of Limited-Precision Stochastic Rounding	9
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	9
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities	9
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	9
A Narrow Band Finite Element Method for the Level Set Equation	9
Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs	9
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	8

Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up	8
APTT: Accuracy-Preserved Tensor-Train Method for the Boltzmann-BGK Equation	8
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation	8
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation	8
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	8
Overlapping Domain Decomposition Preconditioner for Integral Equations	8
An Implementation of Tensor Product Patch Smoothers on GPUs	8
Efficient Solution of Parameter Identification Problems with \(H^1\) Regularization	8
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	8
Systematic Construction of Continuous-Time Neural Networks for Linear Dynamical Systems	8
Local MALA-within-Gibbs for Bayesian Image Deblurring with Total Variation Prior	8
Scalable Local Timestepping on Octree Grids	8
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion	8
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	8
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	8
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	8
Fully Discrete Energy-Dissipative and Conservative Discrete Gradient Particle Methods for a Class of Continuity Equations	8
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	8
A Multigrid Reduction Framework for Domains with Symmetries	8
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	8
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds	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
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
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations	8
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation	8
Asynchronous Multiplicative Coarse-Space Correction	8
Multirate Partially Explicit Scheme for Multiscale Flow Problems	8
Introducing Time Parallelization Within Data Assimilation	8
An Iterative Reduction FISTA Algorithm for Large-Scale LASSO	8
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	8
An Algebraic Multigrid Method for Oseen Problems	7
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data	7
Stochastic Learning Approach for Binary Optimization: Application to Bayesian Optimal Design of Experiments	7
Lightning Stokes Solver	7
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	7
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems	7
Convergence of Splitting Methods on Rotating Grids for the Magnetized Vlasov Equation	7
Discovery of Linear Representations for Nonautonomous Translation-Invariant Problems	7
Error Bound Analysis of the Stochastic Parareal Algorithm	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
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model	7
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations	7
Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems	7
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems	7
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges	7
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling	7
A Gradient Flow Model for Ground State Calculations in Wigner Formalism Based on Density Functional Theory	7
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains	7
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells	7
An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory	7
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation	7
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations	7
Making the Nyström Method Highly Accurate for Low-Rank Approximations	7
Multirate Exponential Rosenbrock Methods	7
Element-wise Multiplication of Tensor Trains	7
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics	6
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation	6
Linearly Implicit Multistep Methods for Time Integration	6
Genetic Column Generation for Computing Lower Bounds for Adversarial Classification	6
Structure-Aware Analyses and Algorithms for Interpolative Decompositions	6
A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes	6
Improving “Fast Iterative Shrinkage-Thresholding Algorithm”: Faster, Smarter, and Greedier	6
Adaptive Stepsize Algorithms for Langevin Dynamics	6
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces	6
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems	6
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems	6
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation	6
Active Operator Inference for Learning Low-Dimensional Dynamical-System Models from Noisy Data	6
Solving the Boltzmann Equation with a Neural Sparse Representation	6
Mitigating Distribution Shift in Machine Learning–Augmented Hybrid Simulation	6
A Preconditioned Krylov Subspace Method for Linear Inverse Problems with General-Form Tikhonov Regularization	6
BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis	6
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems	6
Faster Randomized Partial Trace Estimation	6
Row Replicated Block Cimmino	6
Rapid Evaluation of Newtonian Potentials on Planar Domains	6
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids	6
IMEX Hermite–Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density	6
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains	6
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms	6
A Direct Probing Method of an Inverse Problem for the Eikonal Equation	6
Leveraging GPU Batching for Scalable Nonlinear Programming through Massive Lagrangian Decomposition	6
Medical Image Registration Using Optimal Control of a Linear Hyperbolic Transport Equation with a DG Discretization	6
Third-Order Sectorially A-Stable Alternating Implicit Runge–Kutta Schemes	6
Optimizing Coarse Propagators in Parareal Algorithms	6
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation	6
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond	6
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	6
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations	6
Solution Decomposition for the Nonlinear Poisson–Boltzmann Equation Using the Range-Separated Tensor Format	6
A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds	6
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP	6