SIAM Journal on Numerical Analysis

Article	Citations
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	40
An Optimal Mass Transport Method for Random Genetic Drift	28
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	23
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach	21
Full-Spectrum Dispersion Relation Preserving Summation-by-Parts Operators	21
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	20
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	19
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	17
Solving PDEs with Incomplete Information	17
Convergence Analysis of Leapfrog for Geodesics	16
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	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	15
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	13
Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions	13
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	12
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	12
Leapfrog Methods for Relativistic Charged-Particle Dynamics	12
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	12
High Order Biorthogonal Functions in \({H}\)(curl)	10
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	10
Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond	10
A Local Discontinuous Galerkin Approximation for thep-Navier–Stokes System, Part I: Convergence Analysis	10
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation	10

Spectral Analysis of a Mixed Method for Linear Elasticity	10
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	10
On Convergence of Numerical Solutions for the Compressible MHD System with Exactly Divergence-Free Magnetic Field	9
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	9
Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis	9
On the Finite Element Approximation of a Semicoercive Stokes Variational Inequality Arising in Glaciology	9
Local Convergence of the FEM for the Integral Fractional Laplacian	9
Efficient Approximation of SDEs Driven by Countably Dimensional Wiener Process and Poisson Random Measure	8
A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates	8
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	8
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{{p}}\) -Navier–Stokes System, Part II: Convergence Rates for the Velocity	8
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	8
Exponential Integrators for Quasilinear Wave-Type Equations	8
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	8
A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning	8
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	8
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	7
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	7
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance	7
An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization	7
Stable Lifting of Polynomial Traces on Triangles	6
Computing Semigroups with Error Control	6
Duality-Based Error Control for the Signorini Problem	6
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	6
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	6
Lattice Green’s Functions for High-Order Finite Difference Stencils	6
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	6
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	6
Coupling Parareal with Optimized Schwarz Waveform Relaxation for Parabolic Problems	6
Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations	5
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	5
Least Squares Approximations in Linear Statistical Inverse Learning Problems	5
Analysis of a Monte-Carlo Nystrom Method	5
Error Estimates for Euler Discretization of High-Index Saddle Dynamics	5
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	5
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	5
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	5
High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties	5
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System	5
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	5
Numerical Attractors for Rough Differential Equations	5
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	5
Achieving High Convergence Rates by Quasi-Monte Carlo and Importance Sampling for Unbounded Integrands	5
An Energy-Based Discontinuous Galerkin Method for the Nonlinear Schrödinger Equation with Wave Operator	5
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	4
A High Order Finite Difference Method for the Elastic Wave Equation in Bounded Domains with Nonconforming Interfaces	4
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number	4
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations	4
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	4
Implicit and Fully Discrete Approximation of the Supercooled Stefan Problem in the Presence of Blow-Ups	4

A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations	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
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	4
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	4
An Adaptive Superconvergent Mixed Finite Element Method Based on Local Residual Minimization	4
Localized Implicit Time Stepping for the Wave Equation	4
Homogenization of Nondivergence-Form Elliptic Equations with Discontinuous Coefficients and Finite Element Approximation of the Homogenized Problem	4
A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains	4
Contraction and Convergence Rates for Discretized Kinetic Langevin Dynamics	4
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	4
Sequential Discretization Schemes for a Class of Stochastic Differential Equations and their Application to Bayesian Filtering	4
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps	4
Rank-Adaptive Time Integration of Tree Tensor Networks	4
Numerical Analysis of a Discontinuous Galerkin Method for the Borrvall--Petersson Topology Optimization Problem	4
On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions	4
Anderson Acceleration for Nonsmooth Fixed Point Problems	4
Harmonic Functions on Finitely Connected Tori	4
Virtual Element Methods Without Extrinsic Stabilization	4
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	4
Resolution of Singularities by Rational Functions	4
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	4
A Monotone, Second Order Accurate Scheme for Curvature Motion	4
Full Discretization of Cauchy's Problem by Lavrentiev--Finite Element Method	4
Summation-by-Parts Operators for General Function Spaces	3
Accurately Recover Global Quasiperiodic Systems by Finite Points	3
Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity	3
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian	3
Analytic and Gevrey Class Regularity for Parametric Elliptic Eigenvalue Problems and Applications	3
A Universal Median Quasi-Monte Carlo Integration	3
Robust Finite Elements for Linearized Magnetohydrodynamics	3
On Bernoulli’s Method	3
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	3
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	3
Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space	3
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form	3
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	3
Erratum: Multidimensional Sum-Up Rounding for Elliptic Control Systems	3
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	3
Ensemble Domain Decomposition Algorithm for the Fully Mixed Random Stokes–Darcy Model with the Beavers–Joseph Interface Conditions	3
Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation	3
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	3
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	3
A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations	3
An Explicit and Symmetric Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity	3
A Unifying Framework for Interpolatory \({\boldsymbol{\mathcal{L}_2}}\)-Optimal Reduced-Order Modeling	3
wPINNs: Weak Physics Informed Neural Networks for Approximating Entropy Solutions of Hyperbolic Conservation Laws	3
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	3
Swarm-Based Gradient Descent Meets Simulated Annealing	3
Two-Scale Finite Element Approximation of a Homogenized Plate Model	3
Optimal Rate of Convergence for Approximations of SPDEs with Nonregular Drift	3
Neural Parametric Fokker--Planck Equation	3
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	3
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	3
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	3
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	3
Kernel Interpolation of High Dimensional Scattered Data	3
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves	2
An Arbitrary Order and Pointwise Divergence-Free Finite Element Scheme for the Incompressible 3D Navier–Stokes Equations	2
Asymptotic Compatibility of a Class of Numerical Schemes for a Nonlocal Traffic Flow Model	2
A New Optimality Property of Strang’s Splitting	2
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	2
Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem	2
Stable and Efficient Petrov--Galerkin Methods for a Kinetic Fokker--Planck Equation	2
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	2
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	2
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	2
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	2
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	2
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	2
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes	2
Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version	2
Relaxed Kačanov Scheme for the \(\boldsymbol{p}\)-Laplacian with Large Exponent	2
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	2
Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes	2
The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct	2
Time Stability of Strong Boundary Conditions in Finite-Difference Schemes for Hyperbolic Systems	2
A-Stable High-Order Block Implicit Methods for Parabolic Equations	2
Mean Dimension of Radial Basis Functions	2
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	2
Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity	2

Fractal Multiquadric Interpolation Functions	2
A Variable Time Step Time Filter Algorithm for the Geothermal System	2
Stratified Radiative Transfer in a Fluid and Numerical Applications to Earth Science	2
Convergence Analysis of the Nonoverlapping Robin--Robin Method for Nonlinear Elliptic Equations	2
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System	2
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	2
Robust DPG Test Spaces and Fortin Operators—The \(\boldsymbol{H^1}\) and \({\boldsymbol{H}}\boldsymbol{(\mathrm{div})}\) Cases	2
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	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
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	2
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	2
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	2
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	2
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	2
An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation	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
Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks	2
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	2
Computational Lower Bounds of the Maxwell Eigenvalues	2
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	1
Stationary Density Estimation of Itô Diffusions Using Deep Learning	1
On the Convergence of Continuous and Discrete Unbalanced Optimal Transport Models for 1-Wasserstein Distance	1
Domain Decomposition Methods for the Monge–Ampère Equation	1
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods	1
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space	1
Structure Preserving Primal Dual Methods for Gradient Flows with Nonlinear Mobility Transport Distances	1
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model	1
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	1
High Order Splitting Methods for SDEs Satisfying a Commutativity Condition	1
Primal Hybrid Finite Element Method for the Helmholtz Equation	1
Algebraic Structure of the Weak Stage Order Conditions for Runge–Kutta Methods	1
A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow	1
A Spectral Decomposition Method to Approximate Dirichlet-to-Neumann Maps in Complicated Waveguides	1
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	1
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	1
Preintegration via Active Subspace	1
Space-Time Virtual Elements for the Heat Equation	1
A Kernel Machine Learning for Inverse Source and Scattering Problems	1
Numerical Solution of Free Stochastic Differential Equations	1
On Iterated Interpolation	1
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	1
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	1
Numerical Methods and Analysis of Computing Quasiperiodic Systems	1
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	1
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	1
Discontinuous Galerkin Methods for 3D–1D Systems	1
An Improved High-Order Method for Elliptic Multiscale Problems	1
New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann–Neumann Algorithms	1
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	1
An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights	1
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	1
Approximation of the Value Function for Optimal Control Problems on Stratified Domains	1
Fast Krasnosel’skiĭ–Mann Algorithm with a Convergence Rate of the Fixed Point Iteration of \(\boldsymbol{{ o} \left(\frac{1}{{ k}} \right)}\)	1
Erratum: Convergence of Dziuk’s Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements	1
A Kernel-Based Least-Squares Collocation Method for Surface Diffusion	1
Pointwise Gradient Estimate of the Ritz Projection	1
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	1
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	1
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	1
Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding	1
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	1
A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity	1
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	1
Convergence of a Time Discrete Scheme for a Chemotaxis-Consumption Model	1
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations	1
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	1
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	1
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	1
Singularity Swapping Method for Nearly Singular Integrals Based on Trapezoidal Rule	1
A Domain Decomposition Method for Stochastic Evolution Equations	1
New Time Domain Decomposition Methods for Parabolic Optimal Control Problems I: Dirichlet–Neumann and Neumann–Dirichlet Algorithms	1
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	1
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	1
Adaptive Multilevel Monte Carlo for Probabilities	1
The (\(\boldsymbol{p}\), \(\boldsymbol{p}\,\unicode{x2013}\,\boldsymbol{1}\))-HDG Method for the Helmholtz Equation with Large Wave Number	1