SIAM Journal on Scientific Computing

Papers
(The median citation count of SIAM Journal on Scientific Computing is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids107
An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation79
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators63
Stencil Composition for Finite Difference Approximations of Partial Differential Equations44
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form35
Globally Convergent Multilevel Training of Deep Residual Networks32
Polynomial Chaos Expansions for Stiff Random ODEs31
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations30
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model29
Optimization of Hopf Bifurcation Points27
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains25
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach24
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System23
Hierarchical Low-Rank Arithmetic with Floating Point Compression23
Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian22
Optimized Schwarz Methods for Biharmonic Equations22
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations21
Spectral Approximation of Convolution Operators of Fredholm Type21
Performance of the Low-Rank TT-SVD for Large Dense Tensors on Modern MultiCore CPUs20
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements19
Deep Adaptive Basis Galerkin Method for High-Dimensional Evolution Equations With Oscillatory Solutions19
Simultaneous Computational and Data Load Balancing in Distributed-Memory Setting19
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation18
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation18
Energetic Variational Neural Network Discretizations of Gradient Flows18
Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers18
New SISC Section on Scientific Machine Learning17
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables17
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics17
Multigrid Methods Using Block Floating Point Arithmetic16
Deep Learning without Global Optimization by Random Fourier Neural Networks16
Shape Optimization of Slip-Driven Axisymmetric Microswimmers16
Functional Tensor Singular Value Decomposition16
Strongly Imposing the Free Surface Boundary Condition for Wave Equations with Finite Difference Operators15
An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model15
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes15
Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares15
Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes15
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics14
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations14
A Parallel Iterative Probabilistic Method for Mixed Problems of Laplace Equations with the Feynman--Kac Formula of Killed Brownian Motions14
Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations14
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs14
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations14
A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems14
A Robust Algebraic Multilevel Domain Decomposition Preconditioner for Sparse Symmetric Positive Definite Matrices13
A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System13
PLSS: A Projected Linear Systems Solver13
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems13
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations13
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion13
Rounding-Error Analysis of Multigrid \({V}\)-Cycles13
An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition13
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation13
Streaming Tensor Train Approximation12
Randomized Block Gram–Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems12
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations12
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions12
Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs12
A Shape-Newton Approach to the Problem of Covering with Identical Balls12
Flow in Porous Media with Fractures of Varying Aperture12
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks12
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance12
Bound-Preserving and Positivity-Preserving Analysis of Direct Arbitrary Lagrangian-Eulerian Finite Volume Scheme for Compressible Two-Medium Flows with Stiffened Gas Equation of State11
A Mixed-Integer PDE-Constrained Optimization Formulation for Electromagnetic Cloaking11
Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement11
Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains11
A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability11
Spectral Deferred Correction Methods for Second-Order Problems11
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems11
PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order Sensitivity Analysis11
Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes11
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems10
A Divergence Preserving Cut Finite Element Method for Darcy Flow10
A Multiscale Hybrid Method10
Multilevel Particle Filters for a Class of Partially Observed Piecewise Deterministic Markov Processes10
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations10
Special Section: 2022 Copper Mountain Conference on Iterative Methods10
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces10
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation10
Approximating the Shape Operator with the Surface Hellan–Herrmann–Johnson Element10
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation10
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation10
Time-Domain Iterative Rational Krylov Method10
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces10
Consensus-Based Rare Event Estimation10
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs10
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices10
SOTT: Greedy Approximation of a Tensor as a Sum of Tensor Trains10
Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design10
Deep Ritz Method for the Spectral Fractional Laplacian Equation Using the Caffarelli--Silvestre Extension10
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds10
Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force10
A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem9
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation9
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators9
A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport9
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs9
High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides9
Modified TASE Runge–Kutta Methods for Integrating Stiff Differential Equations9
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation9
MGIC: Multigrid-in-Channels Neural Network Architectures9
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models9
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective9
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains9
A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates9
Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method9
Data-Driven Tensor Train Gradient Cross Approximation for Hamilton–Jacobi–Bellman Equations8
Improving Greedy Algorithms for Rational Approximation8
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity8
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities8
Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation8
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators8
A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems8
High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation8
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica8
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization8
Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations8
Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques8
Selecting Regularization Parameters for Nuclear Norm--Type Minimization Problems8
Optimized Schwarz Methods for the Cahn–Hilliard Equation8
Convolution Quadratures Based on Block Generalized Adams Methods8
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion8
On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data8
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids8
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential8
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion8
Finite Time Horizon Mixed Control of Vibrational Systems8
A Narrow Band Finite Element Method for the Level Set Equation8
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media7
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation7
A Multigrid Reduction Framework for Domains with Symmetries7
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds7
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation7
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up7
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation7
A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions7
Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations7
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network7
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells7
An Implementation of Tensor Product Patch Smoothers on GPUs7
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme7
Introducing Time Parallelization Within Data Assimilation7
Scalable Local Timestepping on Octree Grids7
Structure-Preserving Neural Networks in Data-Driven Rheological Models7
Local MALA-within-Gibbs for Bayesian Image Deblurring with Total Variation Prior7
A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth7
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model7
Multirate Partially Explicit Scheme for Multiscale Flow Problems7
New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System7
Asynchronous Multiplicative Coarse-Space Correction7
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations7
Systematic Construction of Continuous-Time Neural Networks for Linear Dynamical Systems7
Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs7
Multirate Exponential Rosenbrock Methods6
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations6
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems6
An Iterative Reduction FISTA Algorithm for Large-Scale LASSO6
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems6
Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation6
Lightning Stokes Solver6
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling6
Rapid Evaluation of Newtonian Potentials on Planar Domains6
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems6
An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains6
Improving “Fast Iterative Shrinkage-Thresholding Algorithm”: Faster, Smarter, and Greedier6
Stochastic Learning Approach for Binary Optimization: Application to Bayesian Optimal Design of Experiments6
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation6
Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems6
A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds6
Discovery of Linear Representations for Nonautonomous Translation-Invariant Problems6
BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations6
Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems6
Exact Simulation of the Multifactor Ornstein–Uhlenbeck Driven Stochastic Volatility Model6
Fully Discrete Energy-Dissipative and Conservative Discrete Gradient Particle Methods for a Class of Continuity Equations6
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation6
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data6
An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory6
IMEX Hermite–Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density6
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations6
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP6
Making the Nyström Method Highly Accurate for Low-Rank Approximations6
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation6
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges6
Efficient Solution of Parameter Identification Problems with \(H^1\) Regularization6
Error Bound Analysis of the Stochastic Parareal Algorithm6
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations6
Overlapping Domain Decomposition Preconditioner for Integral Equations6
Efficient Numerical Algorithms for the Generalized Langevin Equation5
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension5
Randomized Kaczmarz in Adversarial Distributed Setting5
Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting5
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids5
Linearization of the Travel Time Functional in Porous Media Flows5
Efficient Algebraic Two-Level Schwarz Preconditioner for Sparse Matrices5
A Preconditioned Krylov Subspace Method for Linear Inverse Problems with General-Form Tikhonov Regularization5
Efficient Spectral-Element Methods in Polar Coordinates for Complex Geometries with Piecewise-Smooth Boundaries5
Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation5
Faster Randomized Partial Trace Estimation5
Hybrid Dealiasing of Complex Convolutions5
Structure-Aware Analyses and Algorithms for Interpolative Decompositions5
Adaptive Stepsize Algorithms for Langevin Dynamics5
A Direct Probing Method of an Inverse Problem for the Eikonal Equation5
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems5
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning5
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces5
Nested Sampling for Uncertainty Quantification and Rare Event Estimation5
Scalable Approximation and Solvers for Ionic Electrodiffusion in Cellular Geometries5
Linearly Implicit Multistep Methods for Time Integration5
A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes5
Behavior of the Discontinuous Galerkin Method for Compressible Flows at Low Mach Number on Triangles and Tetrahedrons5
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems5
Improving the Stability and Efficiency of Operator-Splitting Methods5
Learning Interaction Kernels in Mean-Field Equations of First-Order Systems of Interacting Particles5
Medical Image Registration Using Optimal Control of a Linear Hyperbolic Transport Equation with a DG Discretization5
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms5
Active Operator Inference for Learning Low-Dimensional Dynamical-System Models from Noisy Data5
Third-Order Sectorially A-Stable Alternating Implicit Runge–Kutta Schemes5
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics5
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains5
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond5
Solution Decomposition for the Nonlinear Poisson–Boltzmann Equation Using the Range-Separated Tensor Format5
Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation5
Sketching with Spherical Designs for Noisy Data Fitting on Spheres5
Numerical Approximation of PGD Modes to Parameterized Elliptic Problems5
Solving the Boltzmann Equation with a Neural Sparse Representation5
Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems5
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation5
Optimizing Coarse Propagators in Parareal Algorithms5
A Bandit-Learning Approach to Multifidelity Approximation5
Mitigating Distribution Shift in Machine Learning–Augmented Hybrid Simulation5
An Incomplete Cholesky Preconditioner Based on Orthogonal Approximations5
Row Replicated Block Cimmino5
BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis5
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations5
Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM5
Multivariate Rational Approximation of Functions with Curves of Singularities4
A Performance Portable, Fully Implicit Landau Collision Operator with Batched Linear Solvers4
Doubly Monotonic Constraint on Interpolators: Bridging Second-Order to Singularity Preservation to Cancel “Numerical Wetting” in Transport Schemes4
Linear-Complexity Black-Box Randomized Compression of Rank-Structured Matrices4
A Directional Equispaced Interpolation-Based Fast Multipole Method for Oscillatory Kernels4
Bayesian Parameter Identification in Impedance Boundary Conditions for Helmholtz Problems4
Deep Neural Networks for Solving Large Linear Systems Arising from High-Dimensional Problems4
A Scalable Deep Learning Approach for Solving High-Dimensional Dynamic Optimal Transport4
Personalized Algorithm Generation: A Case Study in Learning ODE Integrators4
A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions4
Special Section: 2023 Copper Mountain Conference4
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra4
Reflectionless Discrete Perfectly Matched Layers for Higher-Order Finite Difference Schemes4
A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner–Coulomb Dynamics4
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