SIAM Journal on Scientific Computing

Article	Citations
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	130
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	87
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	78
Globally Convergent Multilevel Training of Deep Residual Networks	49
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	40
Hierarchical Low-Rank Arithmetic with Floating Point Compression	37
Polynomial Chaos Expansions for Stiff Random ODEs	33
A New Rational Approximation Algorithm via the Empirical Interpolation Method	33
Structured and Balanced Multicomponent and Multilayer Neural Networks	32
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	28
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	28
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	28
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	27
Fast and Scalable FFT-Based GPU-Accelerated Algorithms for Block-Triangular Toeplitz Matrices with Application to Linear Inverse Problems Governed by Autonomous Dynamical Systems	25
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	24
Randomized Sketched TT-GMRES for Linear Systems with Tensor Structure	24
Optimization of Hopf Bifurcation Points	23
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs	22
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	22
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	21
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	20
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	20
Energetic Variational Neural Network Discretizations of Gradient Flows	19
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	19
A Deep Learning Method for Computing Committor Functions with Adaptive Sampling	19

Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations	19
Optimized Schwarz Methods for Biharmonic Equations	19
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	19
Spectral Approximation of Convolution Operators of Fredholm Type	19
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	18
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	18
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	18
nuGPR: GPU-Accelerated Gaussian Process Regression with Iterative Algorithms and Low-Rank Approximations	18
Transformed Primal-Dual Methods with Variable Preconditioners	18
Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators	17
New SISC Section on Scientific Machine Learning	17
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs	17
Functional Tensor Singular Value Decomposition	17
Shape Optimization of Slip-Driven Axisymmetric Microswimmers	17
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes	17
Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes	17
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations	17
Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares	16
An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model	16
Deep Learning without Global Optimization by Random Fourier Neural Networks	16
A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems	16
Multigrid Methods Using Block Floating Point Arithmetic	16
Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations	15
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion	15
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics	15
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations	15
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics	15
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance	14
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations	14
PLSS: A Projected Linear Systems Solver	14
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman--Kac Formula of Killed Brownian Motions	14
A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System	14
Randomized Block Gram–Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems	14
Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs	14
Rounding-Error Analysis of Multigrid \({V}\)-Cycles	14
Multilevel Regularized Newton Methods with Fast Convergence Rates	13
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks	13
An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition	13
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems	13
On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs	13
A Robust Algebraic Multilevel Domain Decomposition Preconditioner for Sparse Symmetric Positive Definite Matrices	13
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations	13
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations	13
A Shape-Newton Approach to the Problem of Covering with Identical Balls	12
Flow in Porous Media with Fractures of Varying Aperture	12
Time-Domain Iterative Rational Krylov Method	12
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces	12
Fredholm Neural Networks	12
Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes	12
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation	12

Rational Function Approximation with Normalized Positive Denominators	12
A Mixed-Integer PDE-Constrained Optimization Formulation for Electromagnetic Cloaking	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
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations	12
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces	12
Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement	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
Erratum: Spectral Analysis of Implicit \({s}\)-Stage Block Runge–Kutta Preconditioners: Erratum	11
Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains	11
PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order Sensitivity Analysis	11
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions	11
Consensus-Based Rare Event Estimation	11
Spectral Deferred Correction Methods for Second-Order Problems	11
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems	11
Streaming Tensor Train Approximation	11
Deep Ritz Method for the Spectral Fractional Laplacian Equation Using the Caffarelli--Silvestre Extension	11
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation	11
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds	11
Special Section: 2022 Copper Mountain Conference on Iterative Methods	11
A Nonnested Augmented Subspace Method for the Poisson–Boltzmann Equation	10
SOTT: Greedy Approximation of a Tensor as a Sum of Tensor Trains	10
Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design	10
A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram–Schmidt	10
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem	10
Efficient Prior Calibration from Indirect Data	10
Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem	10
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators	10
Modified TASE Runge–Kutta Methods for Integrating Stiff Differential Equations	10
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs	10
An Implicit Well-Posed Lagrangian Scheme for Nonviscous Compressible Fluids in High Dimension	10
Efficient Neural Network Approaches for Conditional Optimal Transport with Applications in Bayesian Inference	10
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation	10
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems	10
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices	10
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation	10
Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force	10
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models	10
High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides	10
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport	10
A Multiscale Hybrid Method	9
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation	9
A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates	9
Improving Greedy Algorithms for Rational Approximation	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
A Divergence Preserving Cut Finite Element Method for Darcy Flow	9
MGIC: Multigrid-in-Channels Neural Network Architectures	9
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	9
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	9
Sub-ODEs Simplify Taylor Series Algorithms for Ordinary Differential Equations	9
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	9
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	9
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective	9
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	9
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	9
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	9
High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation	9
A Narrow Band Finite Element Method for the Level Set Equation	8
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	8
Probabilistic Error Analysis of Limited-Precision Stochastic Rounding	8
On a Class of Multifidelity Methods for the Semiclassical Schrödinger Equation with Uncertainties	8
An Implementation of Tensor Product Patch Smoothers on GPUs	8
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	8
Structure-Preserving Neural Networks in Data-Driven Rheological Models	8
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds	8
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation	8
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up	8
Optimized Schwarz Methods for the Cahn–Hilliard Equation	8
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	8
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	8
Convolution Quadratures Based on Block Generalized Adams Methods	8
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	8
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	8
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation	8
Introducing Time Parallelization Within Data Assimilation	8
Scalable Local Timestepping on Octree Grids	8
Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs	8
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations	8

Finite Time Horizon Mixed Control of Vibrational Systems	8
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation	8
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	8
Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation	8
A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions	8
Asynchronous Multiplicative Coarse-Space Correction	8
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	8
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion	8
Local MALA-within-Gibbs for Bayesian Image Deblurring with Total Variation Prior	8
Multirate Partially Explicit Scheme for Multiscale Flow Problems	7
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	7
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation	7
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	7
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	7
APTT: Accuracy-Preserved Tensor-Train Method for the Boltzmann-BGK Equation	7
Overlapping Domain Decomposition Preconditioner for Integral Equations	7
Fully Discrete Energy-Dissipative and Conservative Discrete Gradient Particle Methods for a Class of Continuity Equations	7
Stochastic Learning Approach for Binary Optimization: Application to Bayesian Optimal Design of Experiments	7
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	7
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth	7
Systematic Construction of Continuous-Time Neural Networks for Linear Dynamical Systems	7
A Multigrid Reduction Framework for Domains with Symmetries	7
Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems	7
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains	7
An Iterative Reduction FISTA Algorithm for Large-Scale LASSO	7
An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory	7
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media	7
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	7
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells	7
Efficient Solution of Parameter Identification Problems with \(H^1\) Regularization	7
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems	7
Making the Nyström Method Highly Accurate for Low-Rank Approximations	7
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems	6
IMEX Hermite–Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density	6
Discovery of Linear Representations for Nonautonomous Translation-Invariant Problems	6
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains	6
Lightning Stokes Solver	6
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data	6
BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations	6
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling	6
Rapid Evaluation of Newtonian Potentials on Planar Domains	6
A Bandit-Learning Approach to Multifidelity Approximation	6
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces	6
Row Replicated Block Cimmino	6
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations	6
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges	6
A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds	6
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations	6
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP	6
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations	6
A Gradient Flow Model for Ground State Calculations in Wigner Formalism Based on Density Functional Theory	6
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation	6
Element-wise Multiplication of Tensor Trains	6
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	6
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation	6
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond	6
Adaptive Stepsize Algorithms for Langevin Dynamics	6
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation	6
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems	6
Multirate Exponential Rosenbrock Methods	6
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems	6
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model	6
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics	6
Error Bound Analysis of the Stochastic Parareal Algorithm	6
An Algebraic Multigrid Method for Oseen Problems	6
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations	6
Convergence of Splitting Methods on Rotating Grids for the Magnetized Vlasov Equation	6
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation	6
Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM	6
Hybrid Dealiasing of Complex Convolutions	6
Faster Randomized Partial Trace Estimation	6
Numerical Realization of the Mortensen Observer via a Hessian-Augmented Polynomial Approximation of the Value Function	5
Scalable Approximation and Solvers for Ionic Electrodiffusion in Cellular Geometries	5
A Scalable and Robust Vertex-Star Relaxation for High-Order FEM	5
Parallel Computation of the Phonon Boltzmann Transport Equation for Simulation of Frequency Domain Thermo-reflectance (FDTR) Experiments	5
Inner-Product Free Krylov Methods for Large-Scale Inverse Problems	5
Randomized Kaczmarz in Adversarial Distributed Setting	5
A Parallel Fast Multipole Method for a Space-Time Boundary Element Method for the Heat Equation	5
Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation	5
Solving Linear Systems of the Form \({\boldsymbol{(A + \gamma UU^T)\, {x} = {b}}}\) by Preconditioned Iterative Methods	5
A Faster Multipole Legendre–Chebyshev Transform	5
S-OPT: A Points Selection Algorithm for Hyper-Reduction in Reduced Order Models	5
Sketching with Spherical Designs for Noisy Data Fitting on Spheres	5
Behavior of the Discontinuous Galerkin Method for Compressible Flows at Low Mach Number on Triangles and Tetrahedrons	5
Linearization of the Travel Time Functional in Porous Media Flows	5
Explicit Symmetric Low-Regularity Integrators for the Nonlinear Schrödinger Equation	5
Efficient Numerical Algorithms for the Generalized Langevin Equation	5
A Globally Convergent Modified Newton Method for the Direct Minimization of the Ohta--Kawasaki Energy with Application to the Directed Self-Assembly of Diblock Copolymers	5
A Convergent Quadrature-Based Method for the Monge–Ampère Equation	5
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension	5
Stable Derivative Free Gaussian Mixture Variational Inference for Bayesian Inverse Problems	5
Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting	5
Numerical Approximation of PGD Modes to Parameterized Elliptic Problems	5
Nested Sampling for Uncertainty Quantification and Rare Event Estimation	5
Schrödingerization Based Computationally Stable Algorithms for Ill-Posed Problems in Partial Differential Equations	5