SIAM Journal on Numerical Analysis

Article	Citations
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems	84
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	44
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	43
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	37
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	37
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	35
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	30
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	30
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	28
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	28
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	28
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	26
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	25
Approximation of Viscous Transport and Conservative Equations with One Sided Lipschitz Velocity Fields	25
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	24
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	23
Localized Implicit Time Stepping for the Wave Equation	23
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	23
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	22
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	21
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	21
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	21
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	21
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	21
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	21

A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model	20
\(p\) -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 Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	19
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	18
Primal Hybrid Finite Element Method for the Helmholtz Equation	17
A Deformation-Based Framework for Learning Solution Mappings of PDEs Defined on Varying Domains	17
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	17
Complex Scaling for the Helmholtz Equation with Dirichlet Boundary Conditions in a Perturbed Half-Space	17
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	16
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	16
Locking-Free Hybrid High-Order Method for Linear Elasticity	16
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	16
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	15
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	15
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	15
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	15
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
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	14
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	14
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	13
Space-Time Virtual Elements for the Heat Equation	13
Scaling Optimized Hermite Approximation Methods	13
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	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
Domain Decomposition Methods for the Monge–Ampère Equation	13
Adaptive Multilevel Monte Carlo for Probabilities	13
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	13
A Convergence Analysis Of Lawson’s Iteration For Computing Polynomial And Rational Minimax Approximations	12
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	12
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	12
Discrete Hyperbolic Curvature Flow in the Plane	12
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	12
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	12
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	12
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	12
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	12
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	11
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	11
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	11
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	11
Convergence Analysis of Discrete High-Index Saddle Dynamics	11
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	11
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	11
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	10
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	10
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	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
Lévy Score Function and Score-Based Particle Algorithm for Nonlinear Lévy–Fokker–Planck Equations	10
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure	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
Low-Order Finite Element Complex with Application to a Fourth-Order Elliptic Singular Perturbation Problem	9
Spectral Analysis of a Mixed Method for Linear Elasticity	9
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion	9
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	9
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	9
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	9
Convolution Quadrature for the Quasilinear Subdiffusion Equation	9
Wasserstein Convergence Rates for Stochastic Particle Approximation of Boltzmann Models	9
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	9
On the Convergence of the Pseudospectral Approximation of Reproduction Numbers for Age-Structured Models	9
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	9
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	9
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	9
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	9
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	8
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	8
Improved High-Index Saddle Dynamics for Finding Saddle Points and Solution Landscape	8
Virtual Element Methods Without Extrinsic Stabilization	8
Summation-by-Parts Operators for General Function Spaces	8
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	8
Mixed Finite Element Methods for Linear Cosserat Equations	8
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	8
Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting	8
A Taylor–Hood Finite Element Method for the Surface Stokes Problem Without Penalization	8
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	8
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	8
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	8
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	8
Second Order in Time Finite Element Schemes for Curve Shortening Flow and Curve Diffusion	8
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	8
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms	7
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	7
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	7
Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide	7
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	7
A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem under Minimal Regularity	7
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	7
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	7
Numerical Approximation of Biharmonic Wave Maps into Spheres	7
Support Graph Preconditioners for Off-Lattice Cell-Based Models	7
A Variable Time Step Time Filter Algorithm for the Geothermal System	7
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	7
Numerical Solution of Free Stochastic Differential Equations	7
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	7
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	7
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	7
Error Analysis of a Conforming Finite Element Method for the Modified Electromagnetic Transmission Eigenvalue Problem	6
Applying an Oriented Divergence Theorem to Swept Face Remap	6
An Entropic Method for Discrete Systems with Gibbs Entropy	6
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	6
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	6
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	6
Provably Convergent Newton–Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD	6
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface	6
Discontinuous Galerkin Methods for 3D–1D Systems	6
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	6
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces	6
How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	6
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems	6
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	6
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	6
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	6
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems	5
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation	5
A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation	5
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	5
Robust Finite Elements for Linearized Magnetohydrodynamics	5
Harmonic Functions on Finitely Connected Tori	5
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	5
Stability of Variable-Step BDF2 and BDF3 Methods	5
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	5
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations	5
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data	5
Higher-Order Monte Carlo through Cubic Stratification	5
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	5

A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	5
Finite Element Approximation of Stationary Fokker–Planck–Kolmogorov Equations with Application to Periodic Numerical Homogenization	5
Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method	5
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	5
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	5
Analysis of Complete Radiation Boundary Conditions for Maxwell’s Equations	5
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field	5
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	5
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	5
Two-Scale Finite Element Approximation of a Homogenized Plate Model	5
Analysis of BDDC Preconditioners for Nonconforming Polytopal Hybrid Discretization Methods	5
Rank-Adaptive Time Integration of Tree Tensor Networks	5
Approximating Volumetric Shape Gradients for Shape Optimization with Curved Boundaries Constrained by Parabolic PDEs	5
Convergence Analysis of the Monte Carlo Method for the Random Navier–Stokes–Fourier System	5
Efficient Numerical Reconstruction of Wave Equation Sources via Droplet-Induced Asymptotics	5
Duality-Based Error Control for the Signorini Problem	5
On the Convergence of Split Exponential Integrators for Semilinear Parabolic Problems	5
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form	4
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	4
Dynamic Ritz Projection of Mean Curvature Flow and Optimal \(\boldsymbol{L^2}\) Convergence of Parametric FEM	4
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	4
Uniform Semiclassical Observable Error Bound of Trotter–Suzuki Splitting: A Simple Algebraic Proof	4
A Posteriori Error Control for Nonconvex Problems via Calibration	4
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type	4
Explicit Runge–Kutta Methods that Alleviate Order Reduction	4
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	4
Swarm-Based Gradient Descent Meets Simulated Annealing	4
Kernel Interpolation of High Dimensional Scattered Data	4
Fractal Multiquadric Interpolation Functions	4
A Semi-Lagrangian Scheme on Embedded Manifolds Using Generalized Local Polynomial Reproductions	4
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization	4
An Extension of the Euler–Maclaurin Summation Formula to Functions with Near Singularity	4
Quasi-Monte Carlo for Partial Differential Equations with Generalized Gaussian Input Uncertainty	4
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	4
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	4
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	4
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	4
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	4
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	4
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations	4
Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem	4
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs	4
Unfitted Hybrid High-Order Methods Stabilized by Polynomial Extension for Elliptic Interface Problems	3
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	3
Spherical Designs for Approximations on Spherical Caps	3
A Stochastic Preconditioned Douglas–Rachford Splitting Method for Saddle-Point Problems	3
Learning Homogenization for Elliptic Operators	3
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation	3
POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations	3
Error Estimates for Euler Discretization of High-Index Saddle Dynamics	3
A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates	3
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations	3
A Posteriori Estimates for the Stochastic Total Variation Flow	3
Quasi-Optimal Time-Space Discretizations for a Class of Nonlinear Parabolic PDEs	3
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	3
Polynomial Interpolation of Function Averages on Interval Segments	3
Leapfrog Methods for Relativistic Charged-Particle Dynamics	3
Solving PDEs with Incomplete Information	3
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach	3
Spherical Zone t-Designs for Numerical Integration and Approximation	3
Gain Coefficients for Scrambled Halton Points	3
Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	3
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains	3
Projection Methods for Neural Field Equations	3
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	3
Convergence of ParaOpt for General Runge–Kutta Time Discretizations	3
A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems	3
Achieving High Convergence Rates by Quasi-Monte Carlo and Importance Sampling for Unbounded Integrands	3
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	3