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	55
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	40
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	35
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	29
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	28
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	26
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	26
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	25
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	25
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	24
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	24
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	24
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	21
Exponential Integrators for Quasilinear Wave-Type Equations	21
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	21
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	21
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	20
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems	18
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	16
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	16
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	16
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	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	15
Localized Implicit Time Stepping for the Wave Equation	15
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	15

Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	15
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	15
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	15
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	15
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	14
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	14
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	13
Locking-Free Hybrid High-Order Method for Linear Elasticity	13
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	13
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	13
Primal Hybrid Finite Element Method for the Helmholtz Equation	13
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	13
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	12
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	12
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	12
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	12
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	11
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	11
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	11
Domain Decomposition Methods for the Monge–Ampère Equation	11
Numerical Methods and Analysis of Computing Quasiperiodic Systems	11
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	11
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	11
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	11
Space-Time Virtual Elements for the Heat Equation	11
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	10
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	10
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	10
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	10
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	10
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	10
Adaptive Multilevel Monte Carlo for Probabilities	10
Locking-Free Enriched Galerkin Method for Linear Elasticity	9
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	9
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	9
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	9
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	9
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	9
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	9
Discrete Hyperbolic Curvature Flow in the Plane	9
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure	9
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	9
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	8
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	8
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	8
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	8
Convergence Analysis of Discrete High-Index Saddle Dynamics	8
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	8
Spectral Analysis of a Mixed Method for Linear Elasticity	8
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	8

An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	8
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	8
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	8
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	8
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	7
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	7
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	7
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	7
Mixed Finite Element Methods for Linear Cosserat Equations	7
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	7
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	7
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	7
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	7
Virtual Element Methods Without Extrinsic Stabilization	7
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	7
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	7
Summation-by-Parts Operators for General Function Spaces	7
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	7
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	7
Convolution Quadrature for the Quasilinear Subdiffusion Equation	7
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	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
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	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
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	6
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	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
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	6
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	6
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	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
A Variable Time Step Time Filter Algorithm for the Geothermal System	6
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	6
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	6
Provably Convergent Newton–Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD	5
Discontinuous Galerkin Methods for 3D–1D Systems	5
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	5
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	5
Optimal Maximum Norm Estimates for Virtual Element Methods	5
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations	5
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces	5
Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis	5
Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide	5
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	5
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model	5
Numerical Approximation of Biharmonic Wave Maps into Spheres	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
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	5
Numerical Solution of Free Stochastic Differential Equations	5
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	5
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	5
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	5
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems	5
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	5
Analysis of Complete Radiation Boundary Conditions for Maxwell’s Equations	4
Finite Element Approximation of Stationary Fokker–Planck–Kolmogorov Equations with Application to Periodic Numerical Homogenization	4
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	4
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	4
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving	4
Stability of Variable-Step BDF2 and BDF3 Methods	4
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems	4
How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	4
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field	4
A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation	4
Convergence Analysis of the Monte Carlo Method for the Random Navier–Stokes–Fourier System	4
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	4
Duality-Based Error Control for the Signorini Problem	4
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	4
Applying an Oriented Divergence Theorem to Swept Face Remap	4
Higher-Order Monte Carlo through Cubic Stratification	4
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems	4
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	4
Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method	4
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	4

Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	4
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	4
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data	4
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation	4
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations	4
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	4
Fractal Multiquadric Interpolation Functions	3
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains	3
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps	3
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations	3
Rank-Adaptive Time Integration of Tree Tensor Networks	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
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations	3
Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding	3
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space	3
Gaussian Process Regression under Computational and Epistemic Misspecification	3
Convergence Analysis of Inexact Two-Grid Methods: A Theoretical Framework	3
Kernel Interpolation of High Dimensional Scattered Data	3
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System	3
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	3
Explicit Runge–Kutta Methods that Alleviate Order Reduction	3
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	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
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	3
Robust Finite Elements for Linearized Magnetohydrodynamics	3
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization	3
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	3
Approximation of the Value Function for Optimal Control Problems on Stratified Domains	3
Corrigendum: A New Lagrange Multiplier Approach for Constructing Structure-Preserving Schemes, II. Bound Preserving	3
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms	3
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	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
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	3
Dynamic Ritz Projection of Mean Curvature Flow and Optimal \(\boldsymbol{L^2}\) Convergence of Parametric FEM	3
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	3
Swarm-Based Gradient Descent Meets Simulated Annealing	3
Spherical Designs for Approximations on Spherical Caps	3
Two-Scale Finite Element Approximation of a Homogenized Plate Model	3
Harmonic Functions on Finitely Connected Tori	3
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	3
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations	3
High Order Splitting Methods for SDEs Satisfying a Commutativity Condition	3
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations	3
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	3
Gain Coefficients for Scrambled Halton Points	3
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form	3
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	3