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	58
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	43
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	37
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	30
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	28
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	27
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	27
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	26
Exponential Integrators for Quasilinear Wave-Type Equations	25
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	25
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	25
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	24
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems	23
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	21
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	21
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	21
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	20
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	18
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	17
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	17
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	17
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	16
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	16
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	16
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	15

Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	15
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	15
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	15
Localized Implicit Time Stepping for the Wave Equation	15
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	15
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	15
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	14
Primal Hybrid Finite Element Method for the Helmholtz Equation	14
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	14
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	13
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	13
Locking-Free Hybrid High-Order Method for Linear Elasticity	13
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	13
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	13
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	13
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	12
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	12
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	12
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	12
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	11
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	11
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	11
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	11
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	11
Numerical Methods and Analysis of Computing Quasiperiodic Systems	11
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	11
Space-Time Virtual Elements for the Heat Equation	11
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	11
Adaptive Multilevel Monte Carlo for Probabilities	11
Domain Decomposition Methods for the Monge–Ampère Equation	11
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	10
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	10
Discrete Hyperbolic Curvature Flow in the Plane	10
Locking-Free Enriched Galerkin Method for Linear Elasticity	10
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	10
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	9
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	9
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure	9
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	9
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	9
Convergence Analysis of Discrete High-Index Saddle Dynamics	9
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	9
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	9
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	9
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	9
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	9
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	9
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	9
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	9
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	9

Convolution Quadrature for the Quasilinear Subdiffusion Equation	8
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	8
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	8
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	8
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	8
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	8
Spectral Analysis of a Mixed Method for Linear Elasticity	8
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion	8
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	8
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	7
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	7
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	7
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	7
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	7
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	7
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	7
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	7
Virtual Element Methods Without Extrinsic Stabilization	7
Summation-by-Parts Operators for General Function Spaces	7
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	7
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	7
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	7
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	7
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	7
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	6
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	6
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	6
Mixed Finite Element Methods for Linear Cosserat Equations	6
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	6
Numerical Solution of Free Stochastic Differential Equations	6
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms	6
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	6
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	6
A Variable Time Step Time Filter Algorithm for the Geothermal System	6
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	6
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	6
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	6
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	6
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	6
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	6
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	6
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods	6
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	6
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	6
How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	5
Higher-Order Monte Carlo through Cubic Stratification	5
Provably Convergent Newton–Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD	5
Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide	5
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	5
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	5
Optimal Maximum Norm Estimates for Virtual Element Methods	5
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	5
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	5
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces	5
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems	5
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	5
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	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
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems	5
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations	5
An Entropic Method for Discrete Systems with Gibbs Entropy	5
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface	5
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	5
Numerical Approximation of Biharmonic Wave Maps into Spheres	5
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	5
Discontinuous Galerkin Methods for 3D–1D Systems	5
Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis	5
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems	4
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	4
Harmonic Functions on Finitely Connected Tori	4
Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method	4
Finite Element Approximation of Stationary Fokker–Planck–Kolmogorov Equations with Application to Periodic Numerical Homogenization	4
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	4
Analysis of Complete Radiation Boundary Conditions for Maxwell’s Equations	4
Stability of Variable-Step BDF2 and BDF3 Methods	4
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field	4
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	4
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	4
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	4

Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations	4
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	4
Convergence Analysis of the Monte Carlo Method for the Random Navier–Stokes–Fourier System	4
A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation	4
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation	4
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	4
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	4
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	4
Robust Finite Elements for Linearized Magnetohydrodynamics	4
Rank-Adaptive Time Integration of Tree Tensor Networks	4
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	4
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	4
Duality-Based Error Control for the Signorini Problem	4
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving	4
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data	4
Applying an Oriented Divergence Theorem to Swept Face Remap	4
Spherical Designs for Approximations on Spherical Caps	3
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type	3
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	3
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System	3
Quasi-Monte Carlo for Partial Differential Equations with Generalized Gaussian Input Uncertainty	3
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form	3
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization	3
Explicit Runge–Kutta Methods that Alleviate Order Reduction	3
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space	3
Kernel Interpolation of High Dimensional Scattered Data	3
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	3
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	3
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	3
Convergence Analysis of Inexact Two-Grid Methods: A Theoretical Framework	3
Gain Coefficients for Scrambled Halton Points	3
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations	3
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	3
Corrigendum: A New Lagrange Multiplier Approach for Constructing Structure-Preserving Schemes, II. Bound Preserving	3
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	3
Dynamic Ritz Projection of Mean Curvature Flow and Optimal \(\boldsymbol{L^2}\) Convergence of Parametric FEM	3
Gaussian Process Regression under Computational and Epistemic Misspecification	3
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	3
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	3
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps	3
Swarm-Based Gradient Descent Meets Simulated Annealing	3
Approximation of the Value Function for Optimal Control Problems on Stratified Domains	3
A Posteriori Estimates for the Stochastic Total Variation Flow	3
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	3
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains	3
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations	3
Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem	3
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	3
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs	3
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	3
High Order Splitting Methods for SDEs Satisfying a Commutativity Condition	3
Fractal Multiquadric Interpolation Functions	3
Two-Scale Finite Element Approximation of a Homogenized Plate Model	3
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms	3
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations	3
Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding	3