SIAM Journal on Scientific Computing

Article	Citations
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	87
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	73
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	53
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	40
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	33
Globally Convergent Multilevel Training of Deep Residual Networks	31
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	30
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	28
Optimization of Hopf Bifurcation Points	24
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	23
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	22
Polynomial Chaos Expansions for Stiff Random ODEs	22
Optimized Schwarz Methods for Biharmonic Equations	22
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	22
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	19
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	19
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs	18
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	18
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations	18
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	18
Energetic Variational Neural Network Discretizations of Gradient Flows	17
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	17
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	17
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	17
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	17

Shape Optimization of Slip-Driven Axisymmetric Microswimmers	16
New SISC Section on Scientific Machine Learning	16
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics	16
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs	16
Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators	15
Deep Learning without Global Optimization by Random Fourier Neural Networks	15
Multigrid Methods Using Block Floating Point Arithmetic	15
An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model	14
Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations	14
A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems	14
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations	14
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes	14
Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares	14
Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes	14
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations	13
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance	13
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics	13
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman--Kac Formula of Killed Brownian Motions	13
An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition	12
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks	12
Rounding-Error Analysis of Multigrid \({V}\)-Cycles	12
A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System	12
PLSS: A Projected Linear Systems Solver	12
A Robust Algebraic Multilevel Domain Decomposition Preconditioner for Sparse Symmetric Positive Definite Matrices	12
Randomized Block Gram–Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems	11
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems	11
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations	11
Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs	11
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation	11
A Shape-Newton Approach to the Problem of Covering with Identical Balls	11
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations	11
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion	11
Streaming Tensor Train Approximation	10
Spectral Deferred Correction Methods for Second-Order Problems	10
Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement	10
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces	10
Approximating the Shape Operator with the Surface Hellan–Herrmann–Johnson Element	10
Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes	10
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations	10
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems	10
PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order Sensitivity Analysis	10
Multilevel Particle Filters for a Class of Partially Observed Piecewise Deterministic Markov Processes	10
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation	10
Flow in Porous Media with Fractures of Varying Aperture	10
Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains	10
A Mixed-Integer PDE-Constrained Optimization Formulation for Electromagnetic Cloaking	10
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds	10
A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability	10
Time-Domain Iterative Rational Krylov Method	10
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions	9

A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	9
Modified TASE Runge–Kutta Methods for Integrating Stiff Differential Equations	9
SOTT: Greedy Approximation of a Tensor as a Sum of Tensor Trains	9
Consensus-Based Rare Event Estimation	9
Deep Ritz Method for the Spectral Fractional Laplacian Equation Using the Caffarelli--Silvestre Extension	9
Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force	9
Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design	9
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators	9
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces	9
Special Section: 2022 Copper Mountain Conference on Iterative Methods	9
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems	9
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation	9
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective	8
High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides	8
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	8
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities	8
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	8
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs	8
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation	8
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models	8
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation	8
A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates	8
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	8
Convolution Quadratures Based on Block Generalized Adams Methods	8
A Divergence Preserving Cut Finite Element Method for Darcy Flow	8
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem	8
A Multiscale Hybrid Method	8
MGIC: Multigrid-in-Channels Neural Network Architectures	8
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	8
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	8
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation	8
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport	8
Improving Greedy Algorithms for Rational Approximation	8
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices	8
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	7
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	7
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	7
A Narrow Band Finite Element Method for the Level Set Equation	7
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	7
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	7
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	7
A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions	7
Optimized Schwarz Methods for the Cahn–Hilliard Equation	7
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds	7
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	7
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation	7
Introducing Time Parallelization Within Data Assimilation	7
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation	7
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	7
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media	7
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	7
Finite Time Horizon Mixed Control of Vibrational Systems	7
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	7
High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation	7
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	7
Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation	7
Structure-Preserving Neural Networks in Data-Driven Rheological Models	7
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	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
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	7
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	7
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations	6
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells	6
An Implementation of Tensor Product Patch Smoothers on GPUs	6
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems	6
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations	6
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation	6
Rapid Evaluation of Newtonian Potentials on Planar Domains	6
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling	6
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation	6
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data	6
A Multigrid Reduction Framework for Domains with Symmetries	6
Making the Nyström Method Highly Accurate for Low-Rank Approximations	6
Asynchronous Multiplicative Coarse-Space Correction	6
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up	6
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth	6
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	6
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model	6
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation	6

Multirate Exponential Rosenbrock Methods	6
Fully Discrete Energy-Dissipative and Conservative Discrete Gradient Particle Methods for a Class of Continuity Equations	6
Multirate Partially Explicit Scheme for Multiscale Flow Problems	6
Error Bound Analysis of the Stochastic Parareal Algorithm	6
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	6
Scalable Local Timestepping on Octree Grids	6
Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems	6
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges	6
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations	6
BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations	6
Overlapping Domain Decomposition Preconditioner for Integral Equations	6
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains	6
Efficient Solution of Parameter Identification Problems with \(H^1\) Regularization	6
Efficient Algebraic Two-Level Schwarz Preconditioner for Sparse Matrices	5
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics	5
Linearization of the Travel Time Functional in Porous Media Flows	5
Solution Decomposition for the Nonlinear Poisson–Boltzmann Equation Using the Range-Separated Tensor Format	5
A Preconditioned Krylov Subspace Method for Linear Inverse Problems with General-Form Tikhonov Regularization	5
Adaptive Stepsize Algorithms for Langevin Dynamics	5
Medical Image Registration Using Optimal Control of a Linear Hyperbolic Transport Equation with a DG Discretization	5
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	5
Solving the Boltzmann Equation with a Neural Sparse Representation	5
Active Operator Inference for Learning Low-Dimensional Dynamical-System Models from Noisy Data	5
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems	5
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems	5
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces	5
Stochastic Learning Approach for Binary Optimization: Application to Bayesian Optimal Design of Experiments	5
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems	5
IMEX Hermite–Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density	5
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms	5
Mitigating Distribution Shift in Machine Learning–Augmented Hybrid Simulation	5
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension	5
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations	5
An Incomplete Cholesky Preconditioner Based on Orthogonal Approximations	5
Efficient Spectral-Element Methods in Polar Coordinates for Complex Geometries with Piecewise-Smooth Boundaries	5
Row Replicated Block Cimmino	5
Hybrid Dealiasing of Complex Convolutions	5
Learning Interaction Kernels in Mean-Field Equations of First-Order Systems of Interacting Particles	5
A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds	5
A Bandit-Learning Approach to Multifidelity Approximation	5
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation	5
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation	5
Lightning Stokes Solver	5
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations	5
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains	5
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond	5
Optimizing Coarse Propagators in Parareal Algorithms	5
Efficient Numerical Algorithms for the Generalized Langevin Equation	5
An Iterative Reduction FISTA Algorithm for Large-Scale LASSO	5
A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes	5
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids	5
Improving “Fast Iterative Shrinkage-Thresholding Algorithm”: Faster, Smarter, and Greedier	5
Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM	5
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP	5
Faster Randomized Partial Trace Estimation	5
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems	5
An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory	5