SIAM Journal on Numerical Analysis

Article	Citations
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	38
Deep Neural Networks Algorithms for Stochastic Control Problems on Finite Horizon: Convergence Analysis	37
High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation	34
Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field	31
Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games I: The Ergodic Case	28
A Structure-Preserving Parametric Finite Element Method for Surface Diffusion	27
A General Framework of Low Regularity Integrators	27
An Artificial Compressibility Crank--Nicolson Leap-Frog Method for the Stokes--Darcy Model and Application in Ensemble Simulations	26
Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers	25
Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis	23
Computational Methods for First-Order Nonlocal Mean Field Games with Applications	23
Enhancing Accuracy of Deep Learning Algorithms by Training with Low-Discrepancy Sequences	22
Time Integration of Tree Tensor Networks	21
Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights	21
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving	21
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	21
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	21
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations	21
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations	20
Discovery of Dynamics Using Linear Multistep Methods	19
An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws	19
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance	19
Approximation of High-Dimensional Periodic Functions with Fourier-Based Methods	18
Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions	18
High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties	17

Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions	17
Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit	17
Local Energy Estimates for the Fractional Laplacian	17
Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion	17
A Family of Finite Element Stokes Complexes in Three Dimensions	17
Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows	17
A High-Order Approach to Elliptic Multiscale Problems with General Unstructured Coefficients	16
Spectral Convergence of Diffusion Maps: Improved Error Bounds and an Alternative Normalization	16
Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem	16
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	16
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	15
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	15
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation	15
Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization	14
Error Estimates for the Optimal Control of a Parabolic Fractional PDE	14
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition	14
The Energy Technique for the Six-Step BDF Method	14
Locking-Free Enriched Galerkin Method for Linear Elasticity	13
Staggered DG Method for Coupling of the Stokes and Darcy--Forchheimer Problems	13
Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations	13
A Variable Time Step Time Filter Algorithm for the Geothermal System	12
Stability of Variable-Step BDF2 and BDF3 Methods	12
Divergence-free Scott--Vogelius Elements on Curved Domains	12
A Unified Convergence Analysis for the Fractional Diffusion Equation Driven by Fractional Gaussian Noise with Hurst Index $H\in(0,1)$	12
Local Convergence of the FEM for the Integral Fractional Laplacian	12
Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities	11
Strong Convergence of Full Discretization for Stochastic Cahn--Hilliard Equation Driven by Additive Noise	11
Carleman-Based Reconstruction Algorithm for Waves	11
Optimal Error Analysis of Euler and Crank--Nicolson Projection Finite Difference Schemes for Landau--Lifshitz Equation	11
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	10
Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models	10
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	10
The Connections Between Lyapunov Functions for Some Optimization Algorithms and Differential Equations	10
Computing Semigroups with Error Control	10
Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part II: Optimal Convergence	10
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	10
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	10
Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates	10
On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization	10
Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential	10
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	10
Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems	10
Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part I: Uniform Stability	10
Rank-Adaptive Time Integration of Tree Tensor Networks	10
Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-order Finite Elements	10
Hybrid Localized Spectral Decomposition for Multiscale Problems	9
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	9
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	9
Positivity of Discrete Time-Fractional Operators with Applications to Phase-Field Equations	9
Error Estimates for Euler Discretization of High-Index Saddle Dynamics	9

A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations	9
Asymptotically-Preserving Large Deviations Principles by Stochastic Symplectic Methods for a Linear Stochastic Oscillator	9
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	9
Distributed Filtered Hyperinterpolation for Noisy Data on the Sphere	8
Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version	8
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	8
Analysis of Error Localization of Chebyshev Spectral Approximations	8
An Efficient and Convergent Finite Element Scheme for Cahn--Hilliard Equations with Dynamic Boundary Conditions	8
An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation	8
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	8
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	8
Uniformly Accurate Low Regularity Integrators for the Klein--Gordon Equation from the Classical to NonRelativistic Limit Regime	8
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves	8
On the Sobolev and $L^p$-Stability of the $L^2$-Projection	8
MINRES for Second-Order PDEs with Singular Data	8
A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton--Jacobi--Bellman Equations	7
Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides	7
Low-Rank Updates of Matrix Functions II: Rational Krylov Methods	7
Neural Parametric Fokker--Planck Equation	7
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System	7
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	7
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	7
A New Stability and Convergence Proof of the Fourier--Galerkin Spectral Method for the Spatially Homogeneous Boltzmann Equation	7
Improving Accuracy of the Fifth-Order WENO Scheme by Using the Exponential Approximation Space	7
Approximating Linear Response by Nonintrusive Shadowing Algorithms	7
A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems	7
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	7
Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property	7
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps	6
Efficient Approximation of SDEs Driven by Countably Dimensional Wiener Process and Poisson Random Measure	6
Error Estimate of Unconditionally Stable and Decoupled Linear Positivity-Preserving FEM for the Chemotaxis-Stokes Equations	6
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	6
Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems	6
An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization	6
A Local Discontinuous Galerkin Approximation for thep-Navier–Stokes System, Part I: Convergence Analysis	6
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations	6
Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations	6
Reciprocal-Log Approximation and Planar PDE Solvers	6
Summation-by-Parts Operators for General Function Spaces	6
Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems	6
Approximation of Smoothness Classes by Deep Rectifier Networks	6
Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation	6
A Stabilization of a Continuous Limit of the Ensemble Kalman Inversion	6
Convergence of Dziuk's Fully Discrete Linearly Implicit Scheme for Curve Shortening Flow	6
Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis	5
Convergence of a Decoupled Splitting Scheme for the Cahn–Hilliard–Navier–Stokes System	5
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	5
A Symplectic Discontinuous Galerkin Full Discretization for Stochastic Maxwell Equations	5
A Convergent Structure-Preserving Finite-Volume Scheme for the Shigesada--Kawasaki--Teramoto Population System	5
A Priori Error Analysis of a Numerical Stochastic Homogenization Method	5
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	5
Residual-Based A Posteriori Error Estimates for $hp$-Discontinuous Galerkin Discretizations of the Biharmonic Problem	5
An Energy Stable and Positivity-Preserving Scheme for the Maxwell--Stefan Diffusion System	5
Fluid-Fluid Interaction Problems at High Reynolds Numbers: Reducing the Modeling Error with LES-C	5
A Kernel-Based Least-Squares Collocation Method for Surface Diffusion	5
Optimal Maximum Norm Estimates for Virtual Element Methods	5
Analysis of Lowest-Order Characteristics-Mixed FEMs for Incompressible Miscible Flow in Porous Media	5
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian	5
Coupling Parareal with Optimized Schwarz Waveform Relaxation for Parabolic Problems	5
L$^2$ Error Estimate to Smooth Solutions of High Order Runge--Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points	5
Convergence Analysis of Discrete High-Index Saddle Dynamics	5
Convergence Rate of Markov Chains and Hybrid Numerical Schemes to Jump-Diffusion with Application to the Bates Model	5
Adaptive Multilevel Monte Carlo for Probabilities	5
A Mixed Approach to the Poisson Problem with Line Sources	5
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	5
Space-Time Approximation of Stochastic $p$-Laplace-Type Systems	5
A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation	5
An Energy Stable and Maximum Bound Principle Preserving Scheme for the Dynamic Ginzburg–Landau Equations under the Temporal Gauge	4
A $C^1$ Conforming Petrov--Galerkin Method for Convection-Diffusion Equations and Superconvergence Analysis over Rectangular Meshes	4
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	4
Convergence Analysis of Pixel-Driven Radon and Fanbeam Transforms	4
A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow	4
A Unifying Framework for Interpolatory \({\boldsymbol{\mathcal{L}_2}}\)-Optimal Reduced-Order Modeling	4
Strong Convergence Order for the Scheme of Fractional Diffusion Equation Driven by Fractional Gaussian Noise	4
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	4
Computational Lower Bounds of the Maxwell Eigenvalues	4
Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity	4
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	4
Convergence Analysis of Inexact Two-Grid Methods: A Theoretical Framework	4
On the Finite Element Approximation of a Semicoercive Stokes Variational Inequality Arising in Glaciology	4

Identification of Potential in Diffusion Equations from Terminal Observation: Analysis and Discrete Approximation	4
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	4
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	4
Error Analysis for Probabilities of Rare Events with Approximate Models	4
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	4
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	4
Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion	4
Error Localization of Best $L_{1}$ Polynomial Approximants	4
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	4
Ensemble Domain Decomposition Algorithm for the Fully Mixed Random Stokes–Darcy Model with the Beavers–Joseph Interface Conditions	4
A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning	4
$L^\infty$ Norm Error Estimates for HDG Methods Applied to the Poisson Equation with an Application to the Dirichlet Boundary Control Problem	4
Finite Element Approximation of the Modified Maxwell's Stekloff Eigenvalues	4
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	4
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space	4
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	4
Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks	4
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	4
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	4
Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates	4
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	4
Computation of the Complex Error Function Using Modified Trapezoidal Rules	4
On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov–Poisson System	4
Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation	4
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	3
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	3
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	3
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	3
High-Order BDF Convolution Quadrature for Subdiffusion Models with a Singular Source Term	3
Analysis of a Monte-Carlo Nystrom Method	3
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	3
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{{p}}\) -Navier–Stokes System, Part II: Convergence Rates for the Velocity	3
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	3
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	3
A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra	3
Numerical Analysis of Resonances by a Slab of Subwavelength Slits by Fourier-Matching Method	3
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	3
Stratified Radiative Transfer in a Fluid and Numerical Applications to Earth Science	3
Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity	3
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	3
Amplitude-based Generalized Plane Waves: New Quasi-Trefftz Functions for Scalar Equations in two dimensions	3
Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation	3
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	3
On the Infinite Order Limit of Hermite-based Finite Difference Schemes	3
On Convergence of Numerical Solutions for the Compressible MHD System with Exactly Divergence-Free Magnetic Field	3
Flux-Mortar Mixed Finite Element Methods on NonMatching Grids	3
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	3
Preintegration via Active Subspace	3
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model	3
Error Analysis of Energy-Preserving Mixed Finite Element Methods for the Hodge Wave Equation	3
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	3
Erratum: Convergence of Dziuk’s Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements	3
A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations	3
Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners	3
Full Discretization of Cauchy's Problem by Lavrentiev--Finite Element Method	3
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations	3
Summation-by-Parts Approximations of the Second Derivative: Pseudoinverse and Revisitation of a High Order Accurate Operator	3
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	3
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	3
Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method	3
Optimized Transmission Conditions in Domain Decomposition Methods with Cross-Points for Helmholtz Equation	3
An Improved High-Order Method for Elliptic Multiscale Problems	3
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods	3
Approximation from Noisy Data	2
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	2
Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond	2
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	2
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	2
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes	2
From Additive Average Schwarz Methods to Nonoverlapping Spectral Additive Schwarz Methods	2
Second-Order Accurate TVD Numerical Methods for Nonlocal Nonlinear Conservation Laws	2
A Universal Median Quasi-Monte Carlo Integration	2
An Adaptive Finite Element DtN Method for the Elastic Wave Scattering Problem in Three Dimensions	2
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number	2
Optimal Rate of Convergence for Approximations of SPDEs with Nonregular Drift	2
A Posteriori Error Analysis of the inf-sup Constant for the Divergence	2
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	2
A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures	2
An Arbitrary Order and Pointwise Divergence-Free Finite Element Scheme for the Incompressible 3D Navier–Stokes Equations	2
Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes	2
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System	2
Numerical Maximization of the p-Laplacian Energy of a Two-Phase Material	2
Resolution of Singularities by Rational Functions	2
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	2
A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations	2
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	2
Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces	2
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	2
Convergence Analysis of the Nonoverlapping Robin--Robin Method for Nonlinear Elliptic Equations	2
The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations	2
Convergence of the Hiptmair--Xu Preconditioner for Maxwell's Equations with Jump Coefficients (i): Extensions of the Regular Decomposition	2
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	2
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	2
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	2
wPINNs: Weak Physics Informed Neural Networks for Approximating Entropy Solutions of Hyperbolic Conservation Laws	2