SIAM Journal on Numerical Analysis

Article	Citations
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	48
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	36
Full-Spectrum Dispersion Relation Preserving Summation-by-Parts Operators	23
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	21
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	21
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach	21
Discretization of Total Variation in Optimization with Integrality Constraints	21
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	21
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	20
Solving PDEs with Incomplete Information	19
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	17
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	17
A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning	17
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	17
Convergence Analysis of Leapfrog for Geodesics	16
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	15
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	14
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	14
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	13
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	13
Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions	13
Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond	12
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation	12
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	12
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	12

\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	11
A Local Discontinuous Galerkin Approximation for thep-Navier–Stokes System, Part I: Convergence Analysis	11
Spectral Analysis of a Mixed Method for Linear Elasticity	11
High Order Biorthogonal Functions in \({H}\)(curl)	10
Efficient Approximation of SDEs Driven by Countably Dimensional Wiener Process and Poisson Random Measure	10
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	10
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	10
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	10
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{{p}}\) -Navier–Stokes System, Part II: Convergence Rates for the Velocity	10
Exponential Integrators for Quasilinear Wave-Type Equations	10
On the Finite Element Approximation of a Semicoercive Stokes Variational Inequality Arising in Glaciology	10
Local Convergence of the FEM for the Integral Fractional Laplacian	10
An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization	10
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	9
Analysis of a Monte-Carlo Nystrom Method	9
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	9
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	9
Leapfrog Methods for Relativistic Charged-Particle Dynamics	8
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	8
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	8
Lattice Green’s Functions for High-Order Finite Difference Stencils	8
Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis	8
Computing Semigroups with Error Control	8
On Convergence of Numerical Solutions for the Compressible MHD System with Exactly Divergence-Free Magnetic Field	8
Stable Lifting of Polynomial Traces on Triangles	8
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance	8
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	7
Coupling Parareal with Optimized Schwarz Waveform Relaxation for Parabolic Problems	7
Least Squares Approximations in Linear Statistical Inverse Learning Problems	7
Duality-Based Error Control for the Signorini Problem	7
An Energy-Based Discontinuous Galerkin Method for the Nonlinear Schrödinger Equation with Wave Operator	7
High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties	7
Achieving High Convergence Rates by Quasi-Monte Carlo and Importance Sampling for Unbounded Integrands	7
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	6
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	6
An Optimal Mass Transport Method for Random Genetic Drift	6
Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations	6
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	6
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	6
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	6
A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates	6
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	6
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	6
Error Estimates for Euler Discretization of High-Index Saddle Dynamics	6
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System	6
Higher-Order Far-Field Boundary Conditions for Crystalline Defects	6
Numerical Attractors for Rough Differential Equations	6
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	6
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations	5
wPINNs: Weak Physics Informed Neural Networks for Approximating Entropy Solutions of Hyperbolic Conservation Laws	5

Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	5
Harmonic Functions on Finitely Connected Tori	5
Anderson Acceleration for Nonsmooth Fixed Point Problems	5
Two-Scale Finite Element Approximation of a Homogenized Plate Model	5
Full Discretization of Cauchy's Problem by Lavrentiev--Finite Element Method	5
A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains	5
Analytic and Gevrey Class Regularity for Parametric Elliptic Eigenvalue Problems and Applications	5
Corrigendum: Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle	5
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	5
Optimal Rate of Convergence for Approximations of SPDEs with Nonregular Drift	5
Numerical Analysis of a Discontinuous Galerkin Method for the Borrvall--Petersson Topology Optimization Problem	5
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number	5
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	4
Accurately Recover Global Quasiperiodic Systems by Finite Points	4
On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions	4
Sequential Discretization Schemes for a Class of Stochastic Differential Equations and their Application to Bayesian Filtering	4
Neural Parametric Fokker--Planck Equation	4
Contraction and Convergence Rates for Discretized Kinetic Langevin Dynamics	4
Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation	4
A High Order Finite Difference Method for the Elastic Wave Equation in Bounded Domains with Nonconforming Interfaces	4
Localized Implicit Time Stepping for the Wave Equation	4
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	4
Implicit and Fully Discrete Approximation of the Supercooled Stefan Problem in the Presence of Blow-Ups	4
Resolution of Singularities by Rational Functions	4
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	4
A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations	4
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	4
Homogenization of Nondivergence-Form Elliptic Equations with Discontinuous Coefficients and Finite Element Approximation of the Homogenized Problem	4
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	4
On Bernoulli’s Method	4
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	4
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	4
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	4
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	3
Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space	3
Robust Finite Elements for Linearized Magnetohydrodynamics	3
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	3
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	3
Swarm-Based Gradient Descent Meets Simulated Annealing	3
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form	3
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	3
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	3
Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem	3
Rank-Adaptive Time Integration of Tree Tensor Networks	3
Mixed Finite Element Methods for Linear Cosserat Equations	3
A Monotone, Second Order Accurate Scheme for Curvature Motion	3
An Explicit and Symmetric Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity	3
A Universal Median Quasi-Monte Carlo Integration	3
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	3
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	3
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	3
Virtual Element Methods Without Extrinsic Stabilization	3
A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations	3
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	3
Time Stability of Strong Boundary Conditions in Finite-Difference Schemes for Hyperbolic Systems	3
An Arbitrary Order and Pointwise Divergence-Free Finite Element Scheme for the Incompressible 3D Navier–Stokes Equations	3
Stable and Efficient Petrov--Galerkin Methods for a Kinetic Fokker--Planck Equation	3
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian	3
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	3
Summation-by-Parts Operators for General Function Spaces	3
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	3
Erratum: Multidimensional Sum-Up Rounding for Elliptic Control Systems	3
A Unifying Framework for Interpolatory \({\boldsymbol{\mathcal{L}_2}}\)-Optimal Reduced-Order Modeling	3
Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity	3
Parameterized Wasserstein Hamiltonian Flow	3
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps	3
Ensemble Domain Decomposition Algorithm for the Fully Mixed Random Stokes–Darcy Model with the Beavers–Joseph Interface Conditions	3
Stratified Radiative Transfer in a Fluid and Numerical Applications to Earth Science	3
The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct	3
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	3
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	3
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	3
An Adaptive Superconvergent Mixed Finite Element Method Based on Local Residual Minimization	3
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	3
Kernel Interpolation of High Dimensional Scattered Data	2
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	2
Primal Hybrid Finite Element Method for the Helmholtz Equation	2
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	2
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	2
Mean Dimension of Radial Basis Functions	2

A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	2
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	2
Erratum: Convergence of Dziuk’s Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements	2
An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation	2
Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity	2
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	2
Observable Error Bounds of the Time-Splitting Scheme for Quantum-Classical Molecular Dynamics	2
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	2
Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version	2
Long Time Stability and Numerical Stability of Implicit Schemes for Stochastic Heat Equations	2
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs	2
Convergence Analysis of the Nonoverlapping Robin--Robin Method for Nonlinear Elliptic Equations	2
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	2
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	2
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	2
Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes	2
A Domain Decomposition Method for Stochastic Evolution Equations	2
Computational Lower Bounds of the Maxwell Eigenvalues	2
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	2
Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations	2
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	2
Robust DPG Test Spaces and Fortin Operators—The \(\boldsymbol{H^1}\) and \({\boldsymbol{H}}\boldsymbol{(\mathrm{div})}\) Cases	2
A New Optimality Property of Strang’s Splitting	2
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	2
A-Stable High-Order Block Implicit Methods for Parabolic Equations	2
Relaxed Kačanov Scheme for the \(\boldsymbol{p}\)-Laplacian with Large Exponent	2
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	2
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	2
Asymptotic Compatibility of a Class of Numerical Schemes for a Nonlocal Traffic Flow Model	2
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System	2
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	2
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	2
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	2
Fractal Multiquadric Interpolation Functions	2
Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks	2