SIAM Journal on Numerical Analysis

Article	Citations
Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis	53
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	39
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	34
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	26
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	25
Exponential Integrators for Quasilinear Wave-Type Equations	23
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	23
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	23
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	23
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	22
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	22
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	21
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	20
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	19
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	18
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	17
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	16
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	15
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	15
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	15
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	14
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	14
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	14
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	13
Localized Implicit Time Stepping for the Wave Equation	13

Locking-Free Hybrid High-Order Method for Linear Elasticity	13
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	13
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	13
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	13
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	12
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	12
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	12
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	12
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	12
Primal Hybrid Finite Element Method for the Helmholtz Equation	12
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	12
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	11
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	11
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	11
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	11
Space-Time Virtual Elements for the Heat Equation	11
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	11
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	11
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	11
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	11
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	11
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	10
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	10
Adaptive Multilevel Monte Carlo for Probabilities	10
Domain Decomposition Methods for the Monge–Ampère Equation	10
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	10
Numerical Methods and Analysis of Computing Quasiperiodic Systems	10
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	9
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	9
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	9
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	8
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	8
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	8
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	8
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	8
Locking-Free Enriched Galerkin Method for Linear Elasticity	8
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	8
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	8
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	8
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	8
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure	8
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	8
Discrete Hyperbolic Curvature Flow in the Plane	8
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	7
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	7
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	7
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	7
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	7
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	7
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	7

On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	7
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	7
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	7
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	7
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	7
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	7
Convergence Analysis of Discrete High-Index Saddle Dynamics	7
Spectral Analysis of a Mixed Method for Linear Elasticity	7
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	7
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	7
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	7
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	6
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	6
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	6
Summation-by-Parts Operators for General Function Spaces	6
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	6
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	6
Virtual Element Methods Without Extrinsic Stabilization	6
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	6
Mixed Finite Element Methods for Linear Cosserat Equations	6
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	6
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	6
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	6
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	6
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods	5
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	5
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	5
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	5
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	5
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	5
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	5
A Variable Time Step Time Filter Algorithm for the Geothermal System	5
Numerical Approximation of Biharmonic Wave Maps into Spheres	5
Numerical Solution of Free Stochastic Differential Equations	5
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model	5
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations	5
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	5
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	5
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	5
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	5
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	5
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	5
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	5
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	5
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	5
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	5
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	5
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface	4
Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis	4
Provably Convergent Newton–Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD	4
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data	4
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field	4
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	4
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations	4
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems	4
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces	4
Discontinuous Galerkin Methods for 3D–1D Systems	4
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	4
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	4
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation	4
Stability of Variable-Step BDF2 and BDF3 Methods	4
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	4
How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	4
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	4
Optimal Maximum Norm Estimates for Virtual Element Methods	4
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems	4
Higher-Order Monte Carlo through Cubic Stratification	4
Applying an Oriented Divergence Theorem to Swept Face Remap	4
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving	4
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems	4
An Entropic Method for Discrete Systems with Gibbs Entropy	4
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	3
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	3
Fractal Multiquadric Interpolation Functions	3
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	3
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations	3
Robust Finite Elements for Linearized Magnetohydrodynamics	3
Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding	3
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs	3
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	3

High Order Splitting Methods for SDEs Satisfying a Commutativity Condition	3
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	3
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space	3
Duality-Based Error Control for the Signorini Problem	3
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	3
Gaussian Process Regression under Computational and Epistemic Misspecification	3
A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation	3
Kernel Interpolation of High Dimensional Scattered Data	3
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	3
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type	3
Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem	3
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	3
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	3
Approximation of the Value Function for Optimal Control Problems on Stratified Domains	3
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations	3
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	3
Rank-Adaptive Time Integration of Tree Tensor Networks	3
Corrigendum: A New Lagrange Multiplier Approach for Constructing Structure-Preserving Schemes, II. Bound Preserving	3
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System	3
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	3
Analysis of Complete Radiation Boundary Conditions for Maxwell’s Equations	3
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	3
Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method	3
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	3
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	3
Harmonic Functions on Finitely Connected Tori	3
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization	3
Two-Scale Finite Element Approximation of a Homogenized Plate Model	3
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps	3
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	3
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	3
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms	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
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	3
Robust DPG Test Spaces and Fortin Operators—The \(\boldsymbol{H^1}\) and \({\boldsymbol{H}}\boldsymbol{(\mathrm{div})}\) Cases	2
Analysis of a Monte-Carlo Nystrom Method	2
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number	2
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation	2
On Bernoulli’s Method	2
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System	2
Projection Methods for Neural Field Equations	2
Solving PDEs with Incomplete Information	2
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations	2
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains	2
Convergence Analysis of Inexact Two-Grid Methods: A Theoretical Framework	2
Leapfrog Methods for Relativistic Charged-Particle Dynamics	2
Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version	2
A New Optimality Property of Strang’s Splitting	2
Convergence Analysis of the Nonoverlapping Robin--Robin Method for Nonlinear Elliptic Equations	2
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations	2
Analytic and Gevrey Class Regularity for Parametric Elliptic Eigenvalue Problems and Applications	2
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach	2
Contraction and Convergence Rates for Discretized Kinetic Langevin Dynamics	2
A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning	2
Parameterized Wasserstein Hamiltonian Flow	2
Polynomial Interpolation of Function Averages on Interval Segments	2
Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	2
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian	2
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	2
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	2
Computing Semigroups with Error Control	2
A Domain Decomposition Method for Stochastic Evolution Equations	2
Erratum: Convergence of Dziuk’s Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements	2
Error Estimates for Euler Discretization of High-Index Saddle Dynamics	2
Implicit and Fully Discrete Approximation of the Supercooled Stefan Problem in the Presence of Blow-Ups	2
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	2
A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations	2
Achieving High Convergence Rates by Quasi-Monte Carlo and Importance Sampling for Unbounded Integrands	2
Dropout Ensemble Kalman Inversion for High Dimensional Inverse Problems	2
POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations	2
Spherical Designs for Approximations on Spherical Caps	2
An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization	2
A Posteriori Estimates for the Stochastic Total Variation Flow	2
Gain Coefficients for Scrambled Halton Points	2
A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates	2
Learning Homogenization for Elliptic Operators	2
An Explicit and Symmetric Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity	2
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes	2
An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation	2