SIAM Journal on Scientific Computing

Article	Citations
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids	80
Optimization of Hopf Bifurcation Points	69
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach	52
Polynomial Chaos Expansions for Stiff Random ODEs	39
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators	31
Stencil Composition for Finite Difference Approximations of Partial Differential Equations	30
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains	30
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation	25
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form	23
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations	23
Globally Convergent Multilevel Training of Deep Residual Networks	22
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System	21
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model	20
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting	18
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions	18
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements	18
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation	17
Optimized Schwarz Methods for Biharmonic Equations	17
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian	17
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers	17
Energetic Variational Neural Network Discretizations of Gradient Flows	16
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations	16
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables	16
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation	16
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs	16

New SISC Section on Scientific Machine Learning	15
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs	15
An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model	14
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics	14
Deep Learning without Global Optimization by Random Fourier Neural Networks	14
A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems	14
Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators	14
Multigrid Methods Using Block Floating Point Arithmetic	14
Shape Optimization of Slip-Driven Axisymmetric Microswimmers	14
Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations	13
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems	13
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations	13
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes	13
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations	13
An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition	13
PLSS: A Projected Linear Systems Solver	12
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations	12
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics	12
A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System	11
Randomized Block Gram–Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems	11
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman--Kac Formula of Killed Brownian Motions	11
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion	11
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks	11
Rounding-Error Analysis of Multigrid \({V}\)-Cycles	11
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation	11
A Shape-Newton Approach to the Problem of Covering with Identical Balls	10
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance	10
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds	10
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations	10
A Mixed-Integer PDE-Constrained Optimization Formulation for Electromagnetic Cloaking	10
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation	10
A Robust Algebraic Multilevel Domain Decomposition Preconditioner for Sparse Symmetric Positive Definite Matrices	10
Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs	10
Spectral Deferred Correction Methods for Second-Order Problems	10
PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order Sensitivity Analysis	9
Flow in Porous Media with Fractures of Varying Aperture	9
Streaming Tensor Train Approximation	9
Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains	9
Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes	9
Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement	9
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems	9
Multilevel Particle Filters for a Class of Partially Observed Piecewise Deterministic Markov Processes	9
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions	9
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces	9
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem	8
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators	8
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices	8
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs	8
SOTT: Greedy Approximation of a Tensor as a Sum of Tensor Trains	8
A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability	8

Special Section: 2022 Copper Mountain Conference on Iterative Methods	8
Consensus-Based Rare Event Estimation	8
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems	8
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations	8
Deep Ritz Method for the Spectral Fractional Laplacian Equation Using the Caffarelli--Silvestre Extension	8
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces	8
Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force	8
High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides	8
Approximating the Shape Operator with the Surface Hellan–Herrmann–Johnson Element	8
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation	7
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport	7
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization	7
Improving Greedy Algorithms for Rational Approximation	7
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations	7
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	7
MGIC: Multigrid-in-Channels Neural Network Architectures	7
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation	7
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models	7
A Multiscale Hybrid Method	7
A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates	7
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion	7
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains	7
A Divergence Preserving Cut Finite Element Method for Darcy Flow	7
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method	7
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective	7
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data	7
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids	7
Convolution Quadratures Based on Block Generalized Adams Methods	7
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation	7
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs	7
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity	7
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation	7
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System	6
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations	6
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques	6
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential	6
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems	6
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations	6
Introducing Time Parallelization Within Data Assimilation	6
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion	6
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	6
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network	6
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up	6
Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation	6
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities	6
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation	6
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme	6
Structure-Preserving Neural Networks in Data-Driven Rheological Models	6
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation	6
A Narrow Band Finite Element Method for the Level Set Equation	6
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations	6
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators	6
An Implementation of Tensor Product Patch Smoothers on GPUs	6
Scalable Local Timestepping on Octree Grids	6
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds	6
Optimized Schwarz Methods for the Cahn–Hilliard Equation	6
Asynchronous Multiplicative Coarse-Space Correction	6
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth	6
Finite Time Horizon Mixed Control of Vibrational Systems	6
Making the Nyström Method Highly Accurate for Low-Rank Approximations	5
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells	5
Multirate Exponential Rosenbrock Methods	5
BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations	5
Stochastic Learning Approach for Binary Optimization: Application to Bayesian Optimal Design of Experiments	5
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains	5
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations	5
An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory	5
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges	5
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems	5
A Multigrid Reduction Framework for Domains with Symmetries	5
Lightning Stokes Solver	5
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model	5
Rapid Evaluation of Newtonian Potentials on Planar Domains	5
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations	5
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation	5
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation	5
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems	5
Hybrid Dealiasing of Complex Convolutions	5
Row Replicated Block Cimmino	5
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation	5

An Iterative Reduction FISTA Algorithm for Large-Scale LASSO	5
Efficient Solution of Parameter Identification Problems with \(H^1\) Regularization	5
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations	5
Multirate Partially Explicit Scheme for Multiscale Flow Problems	5
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data	5
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling	5
Overlapping Domain Decomposition Preconditioner for Integral Equations	5
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model	5
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation	5
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems	5
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP	5
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems	5
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond	5
Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems	5
Error Bound Analysis of the Stochastic Parareal Algorithm	5
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains	5
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations	5
A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds	4
Solution Decomposition for the Nonlinear Poisson–Boltzmann Equation Using the Range-Separated Tensor Format	4
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation	4
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension	4
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation	4
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems	4
A Parallel Fast Multipole Method for a Space-Time Boundary Element Method for the Heat Equation	4
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems	4
An \({LDL}^{\textrm{T}}\) Trust-Region Quasi-Newton Method	4
Solving Linear Systems of the Form \({\boldsymbol{(A + \gamma UU^T)\, {x} = {b}}}\) by Preconditioned Iterative Methods	4
Numerical Approximation of PGD Modes to Parameterized Elliptic Problems	4
A Faster Multipole Legendre–Chebyshev Transform	4
Linearization of the Travel Time Functional in Porous Media Flows	4
Medical Image Registration Using Optimal Control of a Linear Hyperbolic Transport Equation with a DG Discretization	4
Model Order Reduction in Contour Integral Methods for Parametric PDEs	4
A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes	4
Scalable Approximation and Solvers for Ionic Electrodiffusion in Cellular Geometries	4
A Parallel Algorithm for Computing Partial Spectral Factorizations of Matrix Pencils via Chebyshev Approximation	4
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	4
Faster Randomized Partial Trace Estimation	4
Efficient Numerical Algorithms for the Generalized Langevin Equation	4
IMEX Hermite–Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density	4
Nested Sampling for Uncertainty Quantification and Rare Event Estimation	4
Efficient Algebraic Two-Level Schwarz Preconditioner for Sparse Matrices	4
Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems	4
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics	4
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms	4
A Preconditioned Krylov Subspace Method for Linear Inverse Problems with General-Form Tikhonov Regularization	4
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces	4
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	4
Large-Scale Optimization with Linear Equality Constraints Using Reduced Compact Representation	4
BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis	4
A Stieltjes Algorithm for Generating Multivariate Orthogonal Polynomials	4
Randomized Kaczmarz in Adversarial Distributed Setting	4
Mitigating Distribution Shift in Machine Learning–Augmented Hybrid Simulation	4
Minimization of $L_1$ Over $L_2$ for Sparse Signal Recovery with Convergence Guarantee	4
Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting	4
Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation	4
Sketching with Spherical Designs for Noisy Data Fitting on Spheres	4
Learning Interaction Kernels in Mean-Field Equations of First-Order Systems of Interacting Particles	4
Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation	4
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids	4
Optimizing Coarse Propagators in Parareal Algorithms	4
A Bandit-Learning Approach to Multifidelity Approximation	4
Active Operator Inference for Learning Low-Dimensional Dynamical-System Models from Noisy Data	4
Behavior of the Discontinuous Galerkin Method for Compressible Flows at Low Mach Number on Triangles and Tetrahedrons	4
Solving the Boltzmann Equation with a Neural Sparse Representation	4
An Incomplete Cholesky Preconditioner Based on Orthogonal Approximations	4
A Semi-Lagrangian Discontinuous Galerkin Method for Drift-Kinetic Simulations on GPUs	4
Improving “Fast Iterative Shrinkage-Thresholding Algorithm”: Faster, Smarter, and Greedier	4
Numerical Realization of the Mortensen Observer via a Hessian-Augmented Polynomial Approximation of the Value Function	4
Linearly Implicit Multistep Methods for Time Integration	4
AONN: An Adjoint-Oriented Neural Network Method for All-At-Once Solutions of Parametric Optimal Control Problems	4
A Scalable and Robust Vertex-Star Relaxation for High-Order FEM	4
A Direct Probing Method of an Inverse Problem for the Eikonal Equation	4
A Convergent Quadrature-Based Method for the Monge–Ampère Equation	4
Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM	4
S-OPT: A Points Selection Algorithm for Hyper-Reduction in Reduced Order Models	4
Adaptive Stepsize Algorithms for Langevin Dynamics	4
A Simulation Method for the Wetting Dynamics of Liquid Droplets on Deformable Membranes	3
Deep Neural Networks for Solving Large Linear Systems Arising from High-Dimensional Problems	3
A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering by Inhomogeneous Objects	3
A Matrix-Free ILU Realization Based on Surrogates	3
Textbook Efficiency: Massively Parallel Matrix-Free Multigrid for the Stokes System	3
Numerical Surgery for Mean Curvature Flow of Surfaces	3
Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library	3
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation Using Compact Implicit Layers	3
Differential Equation Based Path Integral for Open Quantum Systems	3
Special Section: 2021 Copper Mountain Conference	3
Graph Refinement via Simultaneously Low-Rank and Sparse Approximation	3
Arbitrarily High-Order Conservative Schemes for the Generalized Korteweg--de Vries Equation	3
Finite Element Approximation for the Delayed Generalized Burgers–Huxley Equation with Weakly Singular Kernel: Part II Nonconforming and DG Approximation	3
Randomized Algorithms for Rounding in the Tensor-Train Format	3
\(\boldsymbol{\mathcal{L}_2}\)-Optimal Reduced-Order Modeling Using Parameter-Separable Forms	3
An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials	3
A Scalable Deep Learning Approach for Solving High-Dimensional Dynamic Optimal Transport	3
EnKSGD: A Class of Preconditioned Black Box Optimization and Inversion Algorithms	3
Fully Adaptive Structure-Preserving Hyper-reduction of Parametric Hamiltonian Systems	3