SIAM Journal on Scientific Computing

Article	Citations
Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks	370
Physics-Informed Neural Networks with Hard Constraints for Inverse Design	162
Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker--Planck Equation and Physics-Informed Neural Networks	42
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation	39
On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model	36
When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?	35
Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle	35
Deep Splitting Method for Parabolic PDEs	35
Adaptive Deep Learning for High-Dimensional Hamilton--Jacobi--Bellman Equations	35
Sparse Cholesky Factorization by Kullback--Leibler Minimization	32
The Random Feature Model for Input-Output Maps between Banach Spaces	32
An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems	29
Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations	28
Data-Driven Learning of Nonautonomous Systems	25
Stochastic Rounding and Its Probabilistic Backward Error Analysis	24
A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh	24
MIONet: Learning Multiple-Input Operators via Tensor Product	23
The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs	20
A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates	20
A Random Batch Ewald Method for Particle Systems with Coulomb Interactions	20
Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model	20
Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model	17
Improving “Fast Iterative Shrinkage-Thresholding Algorithm”: Faster, Smarter, and Greedier	17
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics	16
Bound/Positivity Preserving and Energy Stable Scalar auxiliary Variable Schemes for Dissipative Systems: Applications to Keller--Segel and Poisson--Nernst--Planck Equations	16

An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime	15
Stabilized Scalar Auxiliary Variable Ensemble Algorithms for Parameterized Flow Problems	15
A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties	14
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations	14
Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems	13
A Supervised Learning Approach Involving Active Subspaces for an Efficient Genetic Algorithm in High-Dimensional Optimization Problems	13
Parallel Algorithms for Tensor Train Arithmetic	13
Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations	13
Actor-Critic Method for High Dimensional Static Hamilton--Jacobi--Bellman Partial Differential Equations based on Neural Networks	13
Overlapping Multipatch Isogeometric Method with Minimal Stabilization	13
A Continuous Perspective on Shape Optimization via Domain Transformations	13
A Deep Learning Approach for the Computation of Curvature in the Level-Set Method	13
Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics	13
On Greedy Randomized Augmented Kaczmarz Method for Solving Large Sparse Inconsistent Linear Systems	13
A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs	13
Fast Variable Density 3-D Node Generation	12
Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure	12
PIFE-PIC: Parallel Immersed Finite Element Particle-in-Cell for 3-D Kinetic Simulations of Plasma-Material Interactions	12
Algorithms for the Rational Approximation of Matrix-Valued Functions	12
Adaptive Hamiltonian Variational Integrators and Applications to Symplectic Accelerated Optimization	12
Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness	12
Geometric Particle-in-Cell Simulations of the Vlasov--Maxwell System in Curvilinear Coordinates	12
Quality-Bayesian Approach to Inverse Acoustic Source Problems with Partial Data	12
The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes	11
Orthogonal Nonnegative Tucker Decomposition	11
Energy-Preserving Continuous-Stage Exponential Runge--Kutta Integrators for Efficiently Solving Hamiltonian Systems	11
Interpolation-Based Model Order Reduction for Polynomial Systems	11
Computing Multiple Solutions of Topology Optimization Problems	11
Galerkin Neural Networks: A Framework for Approximating Variational Equations with Error Control	11
A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces	11
Construct Deep Neural Networks based on Direct Sampling Methods for Solving Electrical Impedance Tomography	11
Sparse Approximate Multifrontal Factorization with Butterfly Compression for High-Frequency Wave Equations	11
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation	11
Anderson Acceleration for a Class of Nonsmooth Fixed-Point Problems	10
Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs	10
Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms	10
An All-at-Once Preconditioner for Evolutionary Partial Differential Equations	10
Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method	10
Computing Sensitivities in Evolutionary Systems: A Real-Time Reduced Order Modeling Strategy	10
Randomized Gram--Schmidt Process with Application to GMRES	10
Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method	10
Reduced Operator Inference for Nonlinear Partial Differential Equations	10
Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis	10
FLUPS: A Fourier-Based Library of Unbounded Poisson Solvers	10
On the Asymptotic Linear Convergence Speed of Anderson Acceleration, Nesterov Acceleration, and Nonlinear GMRES	10
Algebraic Error Analysis for Mixed-Precision Multigrid Solvers	9
Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose--Einstein Condensates	9
An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers	9
Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains	9
Monolithic Multigrid Methods for Magnetohydrodynamics	9

Fast Iterative Solution of the Optimal Transport Problem on Graphs	9
High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics	9
A Partition of Unity Method for Divergence-Free or Curl-Free Radial Basis Function Approximation	9
Virtual Elements for the Transmission Eigenvalue Problem on Polytopal Meshes	9
Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation	9
A New Block Preconditioner for Implicit Runge--Kutta Methods for Parabolic PDE Problems	8
Efficient and Convergent Preconditioned ADMM for the Potts Models	8
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	8
Optimization-Based Modal Decomposition for Systems with Multiple Transports	8
Variational Bayes' Method for Functions with Applications to Some Inverse Problems	8
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems	8
Explicit Stabilized Integrators for Stiff Optimal Control Problems	8
Variable Projection for NonSmooth Problems	8
AMG Preconditioners for Linear Solvers towards Extreme Scale	8
Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-informed Deep Generative Models	8
Functional Tucker Approximation Using Chebyshev Interpolation	8
Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation	8
Two-Dimensional Fourier Continuation and Applications	8
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	8
Learning Optimal Multigrid Smoothers via Neural Networks	7
Frequency-Stable Full Maxwell in Electro-quasistatic Gauge	7
Multilevel Optimal Transport: A Fast Approximation of Wasserstein-1 Distances	7
Stein Variational Reduced Basis Bayesian Inversion	7
Adaptive Finite-Difference Interval Estimation for Noisy Derivative-Free Optimization	7
Fully Parallel Mesh I/O Using PETSc DMPlex with an Application to Waveform Modeling	7
Butterfly Factorization Via Randomized Matrix-Vector Multiplications	7
A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations	7
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids	7
An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials	7
A Variable Stepsize, Variable Order Family of Low Complexity	7
A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov--Poisson System	7
Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces	7
Qualitative Indicator Functions for Imaging Crack Networks Using Acoustic Waves	7
Genetic Column Generation: Fast Computation of High-Dimensional Multimarginal Optimal Transport Problems	7
Fast Variable Density Node Generation on Parametric Surfaces with Application to Mesh-Free Methods	7
Two-Phase Segmentation for Intensity Inhomogeneous Images by the Allen--Cahn Local Binary Fitting Model	7
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	7
A Conservative Finite Element ALE Scheme for Mass-Conservative Reaction-Diffusion Equations on Evolving Two-Dimensional Domains	6
Grassmannian Diffusion Maps--Based Dimension Reduction and Classification for High-Dimensional Data	6
A Generalized Spatially Adaptive Sparse Grid Combination Technique with Dimension-wise Refinement	6
A Well Balanced Finite Volume Scheme for General Relativity	6
Fourier-Cosine Method for Finite-Time Gerber--Shiu Functions	6
Residual and Restarting in Krylov Subspace Evaluation of the $\varphi$ Function	6
Parameter Robust Preconditioning by Congruence for Multiple-Network Poroelasticity	6
Chronos: A General Purpose Classical AMG Solver for High Performance Computing	6
Data-Driven Balancing of Linear Dynamical Systems	6
Combining Machine Learning and Adaptive Coarse Spaces---A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions	6
An H-Multigrid Method for Hybrid High-Order Discretizations	6
Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form	6
Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation	6
Approximating Optimal feedback Controllers of Finite Horizon Control Problems Using Hierarchical Tensor Formats	6
Lasso Hyperinterpolation Over General Regions	6
Constraint-Preconditioned Krylov Solvers for Regularized Saddle-Point Systems	6
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations	6
Kaczmarz-Type Inner-Iteration Preconditioned Flexible GMRES Methods for Consistent Linear Systems	6
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	6
Iteratively Reweighted FGMRES and FLSQR for Sparse Reconstruction	6
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations	6
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	6
High Order Cut Discontinuous Galerkin Methods for Hyperbolic Conservation Laws in One Space Dimension	6
Polynomial Preconditioned Arnoldi with Stability Control	6
An Efficient Spectral Method for Elliptic PDEs in Complex Domains with Circular Embedding	6
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension	6
A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation	6
On Port-Hamiltonian Approximation of a Nonlinear Flow Problem on Networks	6
Sequential Active Learning of Low-Dimensional Model Representations for Reliability Analysis	6
High Order Compact Schemes for Flux Type BCs	6
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems	6
Construction-Free Median Quasi-Monte Carlo Rules for Function Spaces with Unspecified Smoothness and General Weights	6
$l_p$ Regularization for Ensemble Kalman Inversion	6
Textbook Efficiency: Massively Parallel Matrix-Free Multigrid for the Stokes System	6
Overlapping Domain Decomposition Methods for Ptychographic Imaging	6
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities	6
PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order Sensitivity Analysis	6
Uniform Auxiliary Space Preconditioning for HDG Methods for Elliptic Operators with a Parameter Dependent Low Order Term	6
A New Class of AMG Interpolation Methods Based on Matrix-Matrix Multiplications	5
A Three-field Based Optimization Formulation for Flow Simulations in Networks of Fractures on Nonconforming Meshes	5
A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier--Stokes Equations	5
A Tailored Convolutional Neural Network for Nonlinear Manifold Learning of Computational Physics Data Using Unstructured Spatial Discretizations	5
Minimization of $L_1$ Over $L_2$ for Sparse Signal Recovery with Convergence Guarantee	5

An Iterative Least-Squares Method for Generated Jacobian Equations in Freeform Optical Design	5
Energy Stable and Mass Conservative Numerical Method for Gas Flow in Porous Media with Rock Compressibility	5
Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge--Kutta Schemes for Parabolic PDEs	5
Generating Extreme-Scale Matrices With Specified Singular Values or Condition Number	5
Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo	5
High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy	5
Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format	5
Plateau Phenomenon in Gradient Descent Training of RELU Networks: Explanation, Quantification, and Avoidance	5
Implicit-Explicit Multirate Infinitesimal GARK Methods	5
Concurrent MultiParameter Learning Demonstrated on the Kuramoto--Sivashinsky Equation	5
Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting	5
Positivity Preservation of a First-Order Scheme for a Quasi-Conservative Compressible Two-Material Model	5
Efficient Importance Sampling in Quasi-Monte Carlo Methods for Computational Finance	5
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging	5
Discretization-Error-Accurate Mixed-Precision Multigrid Solvers	5
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	5
A Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility Constraints	5
A Truly Exact Perfect Absorbing Layer for Time-Harmonic Acoustic Wave Scattering Problems	5
Long-Term Analysis of Stochastic Hamiltonian Systems Under Time Discretizations	5
Efficient Numerical Algorithms for the Generalized Langevin Equation	5
A Direct Eulerian GRP Scheme for a Blood Flow Model in Arteries	5
IMEX Hermite--Galerkin Spectral Schemes with Adaptive Time Stepping for the Coupled Nonlocal Gordon-Type Systems in Multiple Dimensions	5
On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems	5
Adaptive Hierarchical Subtensor Partitioning for Tensor Compression	5
A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations	5
A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature	5
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	5
A Three-Operator Splitting Algorithm for Nonconvex Sparsity Regularization	5
A Shape Optimization Approach to the Problem of Covering a Two-Dimensional Region with Minimum-Radius Identical Balls	4
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	4
Mixed Methods for the Velocity-Pressure-Pseudostress Formulation of the Stokes Eigenvalue Problem	4
Polynomial Chaos as a Control Variate Method	4
Nonlinear Power-Like and SVD-Like Iterative Schemes with Applications to Entangled Bipartite Rank-1 Approximation	4
Fast Randomized Non-Hermitian Eigensolvers Based on Rational Filtering and Matrix Partitioning	4
Physics Information Aided Kriging using Stochastic Simulation Models	4
A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows	4
A Trajectory-Driven Algorithm for Differentiating SRB Measures on Unstable Manifolds	4
A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods	4
Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis	4
Robust Alternating Direction Implicit Solver in Quantized Tensor Formats for a Three-Dimensional Elliptic PDE	4
The AAAtrig Algorithm for Rational Approximation of Periodic Functions	4
Optimal Control of Closed Quantum Systems via B-Splines with Carrier Waves	4
High-Dimensional Dynamic Stochastic Model Representation	4
A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations	4
Computing Edge States without Hard Truncation	4
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	4
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	4
Robust Identification of Differential Equations by Numerical Techniques from a Single Set of Noisy Observation	4
Two-Level Nyström--Schur Preconditioner for Sparse Symmetric Positive Definite Matrices	4
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions	4
AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion)	4
AMFR-W Numerical Methods for Solving High-Dimensional SABR/LIBOR PDE Models	4
Proper Orthogonal Decomposition--Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas	4
A Controllability Method for Maxwell's Equations	4
Manifold Approximations via Transported Subspaces: Model Reduction for Transport-Dominated Problems	4
Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity	4
Dynamically Orthogonal Runge–Kutta Schemes with Perturbative Retractions for the Dynamical Low-Rank Approximation	4
Numerical Approximation of the Displacement Formulation of the Axisymmetric Acoustic Vibration Problem	4
Jet Marching Methods for Solving the Eikonal Equation	4
SuperDC: Superfast Divide-And-Conquer Eigenvalue Decomposition With Improved Stability for Rank-Structured Matrices	4
Space-Time Block Preconditioning for Incompressible Flow	4
Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder	4
Numerical Simulations of Surface Quasi-Geostrophic Flows on Periodic Domains	4
Comparison of Accuracy and Scalability of Gauss--Newton and Alternating Least Squares for CANDECOMC/PARAFAC Decomposition	4
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	4
Preconditioning the Mass Matrix for High Order Finite Element Approximation on Tetrahedra	4
Computing Solution Space Properties of Combinatorial Optimization Problems Via Generic Tensor Networks	4
Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem	4
Accurate and Efficient Splitting Methods for Dissipative Particle Dynamics	4
Dynamic Finite-Budget Allocation of Stratified Sampling with Adaptive Variance Reduction by Strata	4
Failure-Informed Adaptive Sampling for PINNs	4
Elastic Wave Propagation in Curvilinear Coordinates with Mesh Refinement Interfaces by a Fourth Order Finite Difference Method	4
MURPHY---A Scalable Multiresolution Framework for Scientific Computing on 3D Block-Structured Collocated Grids	4
PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology	4
A Continuation Multiple Shooting Method for Wasserstein Geodesic Equation	4
Control of Bifurcation Structures using Shape Optimization	4
Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs	4
A Fokker--Planck Approach to the Reconstruction of a Cell Membrane Potential	4
Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa--Holm System	4
Unbiased MLMC Stochastic Gradient-Based Optimization of Bayesian Experimental Designs	4
Score-Based Parameter Estimation for a Class of Continuous-Time State Space Models	4
Truncation Preconditioners for Stochastic Galerkin Finite Element Discretizations	3
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	3
Error Estimates for a POD Method for Solving Viscous G-Equations in Incompressible Cellular Flows	3
On the Active Flux Scheme for Hyperbolic PDEs with Source Terms	3
Asymptotic Preserving and Uniformly Unconditionally Stable Finite Difference Schemes for Kinetic Transport Equations	3
An Accurate HyperSingular Boundary Integral Equation Method for Dynamic Poroelasticity in Two Dimensions	3
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	3
Low-Rank Representation of Tensor Network Operators with Long-Range Pairwise Interactions	3
A Twin Error Gauge for Kaczmarz's Iterations	3
Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement	3
Alternating Linear Scheme in a Bayesian Framework for Low-Rank Tensor Approximation	3
Variational Inference Formulation for a Model-Free Simulation of a Dynamical System with Unknown Parameters by a Recurrent Neural Network	3
Optimizing Oblique Projections for Nonlinear Systems using Trajectories	3
A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions	3