SIAM Journal on Numerical Analysis

Article	Citations
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	80
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems	40
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	39
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	35
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	34
Exponential Integrators for Quasilinear Wave-Type Equations	34
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	29
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	29
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	28
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	28
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	28
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	27
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	26
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	25
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	24
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	23
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	23
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	22
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	22
Localized Implicit Time Stepping for the Wave Equation	22
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	21
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	21
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	20
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	20
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	20

A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	19
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	19
A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model	19
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	19
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	19
A Deformation-Based Framework for Learning Solution Mappings of PDEs Defined on Varying Domains	18
Complex Scaling for the Helmholtz Equation with Dirichlet Boundary Conditions in a Perturbed Half-Space	17
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	17
Primal Hybrid Finite Element Method for the Helmholtz Equation	16
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	16
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	16
Locking-Free Hybrid High-Order Method for Linear Elasticity	16
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	16
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	16
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	16
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	15
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	15
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	15
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	14
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	14
Geometric Low-Rank Approximation of the Zeitlin Model of Incompressible Fluids on the Sphere	14
Adaptive Multilevel Monte Carlo for Probabilities	13
Domain Decomposition Methods for the Monge–Ampère Equation	13
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	13
Space-Time Virtual Elements for the Heat Equation	13
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	13
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	13
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	13
Numerical Methods and Analysis of Computing Quasiperiodic Systems	13
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	13
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	12
A Convergence Analysis Of Lawson’s Iteration For Computing Polynomial And Rational Minimax Approximations	12
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	12
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	12
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	12
Discrete Hyperbolic Curvature Flow in the Plane	12
Scaling Optimized Hermite Approximation Methods	12
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	11
Convergence Analysis of Discrete High-Index Saddle Dynamics	11
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	11
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	11
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	11
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	11
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	11
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure	11
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	11
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	11
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	11
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	10
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	10

Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	10
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion	10
A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier–Stokes Equations	10
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	10
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	10
Wasserstein Convergence Rates for Stochastic Particle Approximation of Boltzmann Models	10
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	10
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	10
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	10
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	10
Convolution Quadrature for the Quasilinear Subdiffusion Equation	10
Spectral Analysis of a Mixed Method for Linear Elasticity	10
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	9
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	9
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	9
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	9
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	9
Virtual Element Methods Without Extrinsic Stabilization	9
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	9
Second Order in Time Finite Element Schemes for Curve Shortening Flow and Curve Diffusion	9
Lévy Score Function and Score-Based Particle Algorithm for Nonlinear Lévy–Fokker–Planck Equations	9
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	9
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	9
Improved High-Index Saddle Dynamics for Finding Saddle Points and Solution Landscape	9
Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting	9
A Taylor–Hood Finite Element Method for the Surface Stokes Problem Without Penalization	9
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	8
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	8
Mixed Finite Element Methods for Linear Cosserat Equations	8
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	8
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	8
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	8
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	8
Summation-by-Parts Operators for General Function Spaces	8
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	8
A Variable Time Step Time Filter Algorithm for the Geothermal System	8
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	8
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	8
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms	8
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	7
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	7
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	7
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	7
Support Graph Preconditioners for Off-Lattice Cell-Based Models	7
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	7
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	7
Numerical Solution of Free Stochastic Differential Equations	7
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	7
Optimal Maximum Norm Estimates for Virtual Element Methods	7
Discontinuous Galerkin Methods for 3D–1D Systems	7
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	7
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	7
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	7
Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide	7
Numerical Approximation of Biharmonic Wave Maps into Spheres	7
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	7
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	7
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	7
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field	6
Error Analysis of a Conforming Finite Element Method for the Modified Electromagnetic Transmission Eigenvalue Problem	6
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	6
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems	6
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation	6
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems	6
Applying an Oriented Divergence Theorem to Swept Face Remap	6
Provably Convergent Newton–Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD	6
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems	6
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface	6
How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	6
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	6
Higher-Order Monte Carlo through Cubic Stratification	6
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	6
An Entropic Method for Discrete Systems with Gibbs Entropy	6
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces	6
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	6
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data	6
Swarm-Based Gradient Descent Meets Simulated Annealing	5
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs	5
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	5
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	5

Finite Element Approximation of Stationary Fokker–Planck–Kolmogorov Equations with Application to Periodic Numerical Homogenization	5
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	5
Duality-Based Error Control for the Signorini Problem	5
Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method	5
Stability of Variable-Step BDF2 and BDF3 Methods	5
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	5
Harmonic Functions on Finitely Connected Tori	5
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	5
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form	5
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	5
Analysis of BDDC Preconditioners for Nonconforming Polytopal Hybrid Discretization Methods	5
Convergence Analysis of the Monte Carlo Method for the Random Navier–Stokes–Fourier System	5
Analysis of Complete Radiation Boundary Conditions for Maxwell’s Equations	5
Approximating Volumetric Shape Gradients for Shape Optimization with Curved Boundaries Constrained by Parabolic PDEs	5
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations	5
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	5
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	5
Dynamic Ritz Projection of Mean Curvature Flow and Optimal \(\boldsymbol{L^2}\) Convergence of Parametric FEM	5
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	5
Two-Scale Finite Element Approximation of a Homogenized Plate Model	5
Robust Finite Elements for Linearized Magnetohydrodynamics	5
Rank-Adaptive Time Integration of Tree Tensor Networks	5
A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation	5
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	5
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	5
On the Convergence of Split Exponential Integrators for Semilinear Parabolic Problems	5
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	4
Kernel Interpolation of High Dimensional Scattered Data	4
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	4
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization	4
Polynomial Interpolation of Function Averages on Interval Segments	4
Spherical Designs for Approximations on Spherical Caps	4
Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem	4
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	4
Corrigendum: A New Lagrange Multiplier Approach for Constructing Structure-Preserving Schemes, II. Bound Preserving	4
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	4
Explicit Runge–Kutta Methods that Alleviate Order Reduction	4
Fractal Multiquadric Interpolation Functions	4
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	4
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	4
Unfitted Hybrid High-Order Methods Stabilized by Polynomial Extension for Elliptic Interface Problems	4
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations	4
A Stochastic Preconditioned Douglas–Rachford Splitting Method for Saddle-Point Problems	4
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type	4
An Extension of the Euler–Maclaurin Summation Formula to Functions with Near Singularity	4
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms	4
Gaussian Process Regression under Computational and Epistemic Misspecification	4
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	4
Quasi-Monte Carlo for Partial Differential Equations with Generalized Gaussian Input Uncertainty	4
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations	4
A Posteriori Error Control for Nonconvex Problems via Calibration	4
Projection Methods for Neural Field Equations	4
A Posteriori Estimates for the Stochastic Total Variation Flow	4
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	4
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	4
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains	4
High Order Splitting Methods for SDEs Satisfying a Commutativity Condition	4
Approximation of the Value Function for Optimal Control Problems on Stratified Domains	4
Error Estimates for Euler Discretization of High-Index Saddle Dynamics	3
Leapfrog Methods for Relativistic Charged-Particle Dynamics	3
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System	3
Learning Homogenization for Elliptic Operators	3
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach	3
Contraction and Convergence Rates for Discretized Kinetic Langevin Dynamics	3
Implicit and Fully Discrete Approximation of the Supercooled Stefan Problem in the Presence of Blow-Ups	3
Convergence Estimates of Regularized Solutions to Inverse Space-Dependent Source Problems with Time-Dependent Boundary Measurement	3
A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates	3
Spherical Zone t-Designs for Numerical Integration and Approximation	3
Analysis of a Monte-Carlo Nystrom Method	3
Gain Coefficients for Scrambled Halton Points	3
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	3
A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems	3
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number	3
Generalized Gentlest Ascent Dynamics Methods for High-Index Saddle Points	3
Error Analysis of BDF 1–6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates	3
On Bernoulli’s Method	3
A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning	3
Achieving High Convergence Rates by Quasi-Monte Carlo and Importance Sampling for Unbounded Integrands	3
Solving PDEs with Incomplete Information	3
Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	3
POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations	3
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian	3
Parameterized Wasserstein Hamiltonian Flow	3
Analytic and Gevrey Class Regularity for Parametric Elliptic Eigenvalue Problems and Applications	3
A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations	3
Dropout Ensemble Kalman Inversion for High Dimensional Inverse Problems	3
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation	3