SIAM Journal on Scientific Computing

Article	Citations
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	110
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	80
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	67
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	44
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	38
Polynomial Chaos Expansions for Stiff Random ODEs	33
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	32
Globally Convergent Multilevel Training of Deep Residual Networks	31
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	30
Optimization of Hopf Bifurcation Points	27
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	26
Hierarchical Low-Rank Arithmetic with Floating Point Compression	25
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	25
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	24
Optimized Schwarz Methods for Biharmonic Equations	23
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	22
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	22
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations	21
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	20
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs	19
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	19
Spectral Approximation of Convolution Operators of Fredholm Type	19
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	19
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	19
Energetic Variational Neural Network Discretizations of Gradient Flows	18

Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	18
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	18
Shape Optimization of Slip-Driven Axisymmetric Microswimmers	17
New SISC Section on Scientific Machine Learning	17
Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares	16
Deep Learning without Global Optimization by Random Fourier Neural Networks	16
An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model	16
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes	16
Multigrid Methods Using Block Floating Point Arithmetic	16
Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes	16
Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators	16
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations	15
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs	15
A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems	15
Functional Tensor Singular Value Decomposition	15
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics	15
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics	15
Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations	15
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation	14
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman--Kac Formula of Killed Brownian Motions	14
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks	14
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations	14
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion	13
A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System	13
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance	13
PLSS: A Projected Linear Systems Solver	13
A Shape-Newton Approach to the Problem of Covering with Identical Balls	13
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations	13
Rounding-Error Analysis of Multigrid \({V}\)-Cycles	13
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems	13
Randomized Block Gram–Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems	13
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations	12
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations	12
Streaming Tensor Train Approximation	12
Flow in Porous Media with Fractures of Varying Aperture	12
Multilevel Regularized Newton Methods with Fast Convergence Rates	12
Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs	12
A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability	12
An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition	12
A Robust Algebraic Multilevel Domain Decomposition Preconditioner for Sparse Symmetric Positive Definite Matrices	12
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions	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	11
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces	11
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation	11
Time-Domain Iterative Rational Krylov Method	11
Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement	11
Multilevel Particle Filters for a Class of Partially Observed Piecewise Deterministic Markov Processes	11
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations	11
Approximating the Shape Operator with the Surface Hellan–Herrmann–Johnson Element	11

Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains	11
Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes	11
A Mixed-Integer PDE-Constrained Optimization Formulation for Electromagnetic Cloaking	11
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems	11
Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design	10
A Multiscale Hybrid Method	10
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	10
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems	10
Special Section: 2022 Copper Mountain Conference on Iterative Methods	10
Fredholm Neural Networks	10
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem	10
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation	10
A Divergence Preserving Cut Finite Element Method for Darcy Flow	10
High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides	10
Efficient Prior Calibration from Indirect Data	10
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds	10
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation	10
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces	10
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective	10
SOTT: Greedy Approximation of a Tensor as a Sum of Tensor Trains	10
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices	10
Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force	10
Deep Ritz Method for the Spectral Fractional Laplacian Equation Using the Caffarelli--Silvestre Extension	10
PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order Sensitivity Analysis	10
A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram–Schmidt	9
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	9
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation	9
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	9
Efficient Neural Network Approaches for Conditional Optimal Transport with Applications in Bayesian Inference	9
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators	9
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs	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
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	9
Consensus-Based Rare Event Estimation	9
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models	9
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport	9
MGIC: Multigrid-in-Channels Neural Network Architectures	9
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	9
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	9
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	9
Modified TASE Runge–Kutta Methods for Integrating Stiff Differential Equations	9
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation	9
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	8
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	8
High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation	8
Optimized Schwarz Methods for the Cahn–Hilliard Equation	8
Systematic Construction of Continuous-Time Neural Networks for Linear Dynamical Systems	8
A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions	8
Finite Time Horizon Mixed Control of Vibrational Systems	8
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	8
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	8
Convolution Quadratures Based on Block Generalized Adams Methods	8
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	8
Structure-Preserving Neural Networks in Data-Driven Rheological Models	8
Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs	8
Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation	8
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities	8
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	8
A Narrow Band Finite Element Method for the Level Set Equation	8
Introducing Time Parallelization Within Data Assimilation	8
Local MALA-within-Gibbs for Bayesian Image Deblurring with Total Variation Prior	8
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	7
A Multigrid Reduction Framework for Domains with Symmetries	7
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up	7
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion	7
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation	7
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	7
An Implementation of Tensor Product Patch Smoothers on GPUs	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
Scalable Local Timestepping on Octree Grids	7
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	7
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	7
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds	7
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media	7
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation	7
Multirate Partially Explicit Scheme for Multiscale Flow Problems	7
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	7

Asynchronous Multiplicative Coarse-Space Correction	7
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	7
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation	7
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth	7
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	7
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations	7
Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM	6
Multirate Exponential Rosenbrock Methods	6
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems	6
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model	6
A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds	6
Overlapping Domain Decomposition Preconditioner for Integral Equations	6
An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory	6
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems	6
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems	6
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling	6
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation	6
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids	6
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations	6
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation	6
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	6
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation	6
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains	6
BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations	6
Discovery of Linear Representations for Nonautonomous Translation-Invariant Problems	6
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data	6
Fully Discrete Energy-Dissipative and Conservative Discrete Gradient Particle Methods for a Class of Continuity Equations	6
An Iterative Reduction FISTA Algorithm for Large-Scale LASSO	6
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations	6
Making the Nyström Method Highly Accurate for Low-Rank Approximations	6
IMEX Hermite–Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density	6
Lightning Stokes Solver	6
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP	6
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation	6
Stochastic Learning Approach for Binary Optimization: Application to Bayesian Optimal Design of Experiments	6
Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems	6
Rapid Evaluation of Newtonian Potentials on Planar Domains	6
Error Bound Analysis of the Stochastic Parareal Algorithm	6
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations	6
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges	6
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	5
Schrödingerization Based Computationally Stable Algorithms for Ill-Posed Problems in Partial Differential Equations	5
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains	5
Genetic Column Generation for Computing Lower Bounds for Adversarial Classification	5
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems	5
A Direct Probing Method of an Inverse Problem for the Eikonal Equation	5
An Incomplete Cholesky Preconditioner Based on Orthogonal Approximations	5
Low-Rank Tree Tensor Network Operators for Long-Range Pairwise Interactions	5
Solving the Boltzmann Equation with a Neural Sparse Representation	5
BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis	5
Optimizing Coarse Propagators in Parareal Algorithms	5
Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting	5
Faster Randomized Partial Trace Estimation	5
Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation	5
Hybrid Dealiasing of Complex Convolutions	5
A Parallel Fast Multipole Method for a Space-Time Boundary Element Method for the Heat Equation	5
Adaptive Stepsize Algorithms for Langevin Dynamics	5
Mitigating Distribution Shift in Machine Learning–Augmented Hybrid Simulation	5
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation	5
Numerical Approximation of PGD Modes to Parameterized Elliptic Problems	5
Linearly Implicit Multistep Methods for Time Integration	5
Efficient Algebraic Two-Level Schwarz Preconditioner for Sparse Matrices	5
S-OPT: A Points Selection Algorithm for Hyper-Reduction in Reduced Order Models	5
A Bandit-Learning Approach to Multifidelity Approximation	5
Explicit Symmetric Low-Regularity Integrators for the Nonlinear Schrödinger Equation	5
Efficient Numerical Algorithms for the Generalized Langevin Equation	5
A Preconditioned Krylov Subspace Method for Linear Inverse Problems with General-Form Tikhonov Regularization	5
A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes	5
Structure-Aware Analyses and Algorithms for Interpolative Decompositions	5
Efficient Spectral-Element Methods in Polar Coordinates for Complex Geometries with Piecewise-Smooth Boundaries	5
Sketching with Spherical Designs for Noisy Data Fitting on Spheres	5
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces	5
Randomized Kaczmarz in Adversarial Distributed Setting	5
Active Operator Inference for Learning Low-Dimensional Dynamical-System Models from Noisy Data	5
Behavior of the Discontinuous Galerkin Method for Compressible Flows at Low Mach Number on Triangles and Tetrahedrons	5
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics	5
Medical Image Registration Using Optimal Control of a Linear Hyperbolic Transport Equation with a DG Discretization	5
Linearization of the Travel Time Functional in Porous Media Flows	5
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms	5
Scalable Approximation and Solvers for Ionic Electrodiffusion in Cellular Geometries	5
Improving “Fast Iterative Shrinkage-Thresholding Algorithm”: Faster, Smarter, and Greedier	5
A Scalable and Robust Vertex-Star Relaxation for High-Order FEM	5
Solution Decomposition for the Nonlinear Poisson–Boltzmann Equation Using the Range-Separated Tensor Format	5
Inner-Product Free Krylov Methods for Large-Scale Inverse Problems	5
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension	5
Improving the Stability and Efficiency of Operator-Splitting Methods	5
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems	5
Third-Order Sectorially A-Stable Alternating Implicit Runge–Kutta Schemes	5
Learning Interaction Kernels in Mean-Field Equations of First-Order Systems of Interacting Particles	5
Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems	5
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond	5
Nested Sampling for Uncertainty Quantification and Rare Event Estimation	5
Row Replicated Block Cimmino	5
Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation	5
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations	5