SIAM Journal on Scientific Computing

Article	Citations
Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks	417
Physics-Informed Neural Networks with Hard Constraints for Inverse Design	185
Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker--Planck Equation and Physics-Informed Neural Networks	47
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation	43
Adaptive Deep Learning for High-Dimensional Hamilton--Jacobi--Bellman Equations	42
When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?	40
On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model	38
Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle	37
The Random Feature Model for Input-Output Maps between Banach Spaces	36
Deep Splitting Method for Parabolic PDEs	36
Sparse Cholesky Factorization by Kullback--Leibler Minimization	34
Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations	34
An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems	30
Data-Driven Learning of Nonautonomous Systems	28
MIONet: Learning Multiple-Input Operators via Tensor Product	27
A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh	26
Stochastic Rounding and Its Probabilistic Backward Error Analysis	24
The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs	24
A Random Batch Ewald Method for Particle Systems with Coulomb Interactions	23
Improving “Fast Iterative Shrinkage-Thresholding Algorithm”: Faster, Smarter, and Greedier	22
Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model	21
A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties	20
A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates	20
Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model	19
Bound/Positivity Preserving and Energy Stable Scalar auxiliary Variable Schemes for Dissipative Systems: Applications to Keller--Segel and Poisson--Nernst--Planck Equations	18

An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime	17
Overlapping Multipatch Isogeometric Method with Minimal Stabilization	17
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics	17
On Greedy Randomized Augmented Kaczmarz Method for Solving Large Sparse Inconsistent Linear Systems	16
Stabilized Scalar Auxiliary Variable Ensemble Algorithms for Parameterized Flow Problems	16
Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations	16
Actor-Critic Method for High Dimensional Static Hamilton--Jacobi--Bellman Partial Differential Equations based on Neural Networks	15
Orthogonal Nonnegative Tucker Decomposition	15
Fast Variable Density 3-D Node Generation	15
A Continuous Perspective on Shape Optimization via Domain Transformations	15
A Deep Learning Approach for the Computation of Curvature in the Level-Set Method	14
Algorithms for the Rational Approximation of Matrix-Valued Functions	14
Parallel Algorithms for Tensor Train Arithmetic	14
Interpolation-Based Model Order Reduction for Polynomial Systems	14
Construct Deep Neural Networks based on Direct Sampling Methods for Solving Electrical Impedance Tomography	14
Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems	14
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations	14
Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness	14
Reduced Operator Inference for Nonlinear Partial Differential Equations	14
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation	14
Galerkin Neural Networks: A Framework for Approximating Variational Equations with Error Control	13
A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs	13
A Supervised Learning Approach Involving Active Subspaces for an Efficient Genetic Algorithm in High-Dimensional Optimization Problems	13
Energy-Preserving Continuous-Stage Exponential Runge--Kutta Integrators for Efficiently Solving Hamiltonian Systems	13
Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure	12
Quality-Bayesian Approach to Inverse Acoustic Source Problems with Partial Data	12
Geometric Particle-in-Cell Simulations of the Vlasov--Maxwell System in Curvilinear Coordinates	12
Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method	12
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems	12
Anderson Acceleration for a Class of Nonsmooth Fixed-Point Problems	12
Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics	12
Adaptive Hamiltonian Variational Integrators and Applications to Symplectic Accelerated Optimization	12
PIFE-PIC: Parallel Immersed Finite Element Particle-in-Cell for 3-D Kinetic Simulations of Plasma-Material Interactions	12
Computing Multiple Solutions of Topology Optimization Problems	12
The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes	11
An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers	11
High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics	11
Algebraic Error Analysis for Mixed-Precision Multigrid Solvers	11
Sparse Approximate Multifrontal Factorization with Butterfly Compression for High-Frequency Wave Equations	11
Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation	11
A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces	11
Randomized Gram--Schmidt Process with Application to GMRES	11
Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms	11
An All-at-Once Preconditioner for Evolutionary Partial Differential Equations	11
Computing Sensitivities in Evolutionary Systems: A Real-Time Reduced Order Modeling Strategy	10
Fast Variable Density Node Generation on Parametric Surfaces with Application to Mesh-Free Methods	10
A New Block Preconditioner for Implicit Runge--Kutta Methods for Parabolic PDE Problems	10
FLUPS: A Fourier-Based Library of Unbounded Poisson Solvers	10
Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose--Einstein Condensates	10
AMG Preconditioners for Linear Solvers towards Extreme Scale	10

Construction-Free Median Quasi-Monte Carlo Rules for Function Spaces with Unspecified Smoothness and General Weights	10
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities	10
Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method	10
Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis	10
Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs	10
Fast Iterative Solution of the Optimal Transport Problem on Graphs	10
On the Asymptotic Linear Convergence Speed of Anderson Acceleration, Nesterov Acceleration, and Nonlinear GMRES	10
Monolithic Multigrid Methods for Magnetohydrodynamics	9
Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains	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
Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-informed Deep Generative Models	9
Minimization of $L_1$ Over $L_2$ for Sparse Signal Recovery with Convergence Guarantee	9
Explicit Stabilized Integrators for Stiff Optimal Control Problems	9
A Variable Stepsize, Variable Order Family of Low Complexity	9
Efficient and Convergent Preconditioned ADMM for the Potts Models	9
Genetic Column Generation: Fast Computation of High-Dimensional Multimarginal Optimal Transport Problems	8
Optimization-Based Modal Decomposition for Systems with Multiple Transports	8
Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting	8
A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov--Poisson System	8
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	8
Variational Bayes' Method for Functions with Applications to Some Inverse Problems	8
Concurrent MultiParameter Learning Demonstrated on the Kuramoto--Sivashinsky Equation	8
Frequency-Stable Full Maxwell in Electro-quasistatic Gauge	8
Two-Dimensional Fourier Continuation and Applications	8
Parameter Robust Preconditioning by Congruence for Multiple-Network Poroelasticity	8
Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation	8
Fully Parallel Mesh I/O Using PETSc DMPlex with an Application to Waveform Modeling	8
Variable Projection for NonSmooth Problems	8
Functional Tucker Approximation Using Chebyshev Interpolation	8
Approximating Optimal feedback Controllers of Finite Horizon Control Problems Using Hierarchical Tensor Formats	8
Fourier-Cosine Method for Finite-Time Gerber--Shiu Functions	8
Stein Variational Reduced Basis Bayesian Inversion	8
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	8
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	8
Data-Driven Balancing of Linear Dynamical Systems	8
A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations	8
Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces	7
PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order Sensitivity Analysis	7
A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation	7
Residual and Restarting in Krylov Subspace Evaluation of the $\varphi$ Function	7
On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems	7
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations	7
Overlapping Domain Decomposition Methods for Ptychographic Imaging	7
Butterfly Factorization Via Randomized Matrix-Vector Multiplications	7
A Generalized Spatially Adaptive Sparse Grid Combination Technique with Dimension-wise Refinement	7
Kaczmarz-Type Inner-Iteration Preconditioned Flexible GMRES Methods for Consistent Linear Systems	7
An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials	7
Adaptive Finite-Difference Interval Estimation for Noisy Derivative-Free Optimization	7
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging	7
Polynomial Preconditioned Arnoldi with Stability Control	7
Qualitative Indicator Functions for Imaging Crack Networks Using Acoustic Waves	7
A Tailored Convolutional Neural Network for Nonlinear Manifold Learning of Computational Physics Data Using Unstructured Spatial Discretizations	7
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids	7
Two-Phase Segmentation for Intensity Inhomogeneous Images by the Allen--Cahn Local Binary Fitting Model	7
Failure-Informed Adaptive Sampling for PINNs	7
Adaptive Hierarchical Subtensor Partitioning for Tensor Compression	6
Discretization-Error-Accurate Mixed-Precision Multigrid Solvers	6
Energy Stable and Mass Conservative Numerical Method for Gas Flow in Porous Media with Rock Compressibility	6
An H-Multigrid Method for Hybrid High-Order Discretizations	6
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension	6
Uniform Auxiliary Space Preconditioning for HDG Methods for Elliptic Operators with a Parameter Dependent Low Order Term	6
Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form	6
Lasso Hyperinterpolation Over General Regions	6
Multilevel Optimal Transport: A Fast Approximation of Wasserstein-1 Distances	6
A Direct Eulerian GRP Scheme for a Blood Flow Model in Arteries	6
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations	6
Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs	6
A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature	6
Chronos: A General Purpose Classical AMG Solver for High Performance Computing	6
Combining Machine Learning and Adaptive Coarse Spaces---A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions	6
Textbook Efficiency: Massively Parallel Matrix-Free Multigrid for the Stokes System	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
A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows	6
Constraint-Preconditioned Krylov Solvers for Regularized Saddle-Point Systems	6
Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation	6
A Conservative Finite Element ALE Scheme for Mass-Conservative Reaction-Diffusion Equations on Evolving Two-Dimensional Domains	6
On Port-Hamiltonian Approximation of a Nonlinear Flow Problem on Networks	6
A Well Balanced Finite Volume Scheme for General Relativity	6
High Order Compact Schemes for Flux Type BCs	6

Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis	6
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	6
Computing Solution Space Properties of Combinatorial Optimization Problems Via Generic Tensor Networks	6
$l_p$ Regularization for Ensemble Kalman Inversion	6
Learning Optimal Multigrid Smoothers via Neural Networks	6
High Order Cut Discontinuous Galerkin Methods for Hyperbolic Conservation Laws in One Space Dimension	6
Mixed Methods for the Velocity-Pressure-Pseudostress Formulation of the Stokes Eigenvalue Problem	6
An Efficient Spectral Method for Elliptic PDEs in Complex Domains with Circular Embedding	6
Sequential Active Learning of Low-Dimensional Model Representations for Reliability Analysis	6
Grassmannian Diffusion Maps--Based Dimension Reduction and Classification for High-Dimensional Data	6
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions	6
Implicit-Explicit Multirate Infinitesimal GARK Methods	6
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems	6
Lightning Stokes Solver	6
Iteratively Reweighted FGMRES and FLSQR for Sparse Reconstruction	6
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	6
Score-Based Parameter Estimation for a Class of Continuous-Time State Space Models	5
Computing Edge States without Hard Truncation	5
Low-Order Preconditioning for the High-Order Finite Element de Rham Complex	5
Optimal Control of Closed Quantum Systems via B-Splines with Carrier Waves	5
Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge--Kutta Schemes for Parabolic PDEs	5
Positivity Preservation of a First-Order Scheme for a Quasi-Conservative Compressible Two-Material Model	5
Generating Extreme-Scale Matrices With Specified Singular Values or Condition Number	5
Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder	5
Numerical Approximation of the Displacement Formulation of the Axisymmetric Acoustic Vibration Problem	5
A Three-field Based Optimization Formulation for Flow Simulations in Networks of Fractures on Nonconforming Meshes	5
Efficient Numerical Algorithms for the Generalized Langevin Equation	5
A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier--Stokes Equations	5
A Three-Operator Splitting Algorithm for Nonconvex Sparsity Regularization	5
A Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility Constraints	5
The AAAtrig Algorithm for Rational Approximation of Periodic Functions	5
Space-Time Block Preconditioning for Incompressible Flow	5
An Iterative Least-Squares Method for Generated Jacobian Equations in Freeform Optical Design	5
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	5
IMEX Hermite--Galerkin Spectral Schemes with Adaptive Time Stepping for the Coupled Nonlocal Gordon-Type Systems in Multiple Dimensions	5
A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations	5
Comparison of Accuracy and Scalability of Gauss--Newton and Alternating Least Squares for CANDECOMC/PARAFAC Decomposition	5
A Fokker--Planck Approach to the Reconstruction of a Cell Membrane Potential	5
A New Class of AMG Interpolation Methods Based on Matrix-Matrix Multiplications	5
Plateau Phenomenon in Gradient Descent Training of RELU Networks: Explanation, Quantification, and Avoidance	5
Elastic Wave Propagation in Curvilinear Coordinates with Mesh Refinement Interfaces by a Fourth Order Finite Difference Method	5
Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo	5
Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods	5
High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy	5
Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge--Kutta Schemes	5
Numerical Simulations of Surface Quasi-Geostrophic Flows on Periodic Domains	5
AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion)	5
SuperDC: Superfast Divide-And-Conquer Eigenvalue Decomposition With Improved Stability for Rank-Structured Matrices	5
Efficient Importance Sampling in Quasi-Monte Carlo Methods for Computational Finance	5
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	5
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	5
A Truly Exact Perfect Absorbing Layer for Time-Harmonic Acoustic Wave Scattering Problems	5
Control of Bifurcation Structures using Shape Optimization	5
Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format	5
Long-Term Analysis of Stochastic Hamiltonian Systems Under Time Discretizations	5
MURPHY---A Scalable Multiresolution Framework for Scientific Computing on 3D Block-Structured Collocated Grids	5
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	5
Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa--Holm System	5