IMA Journal of Numerical Analysis

Article	Citations
Two-scale methods for the normalized infinity Laplacian: rates of convergence	125
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	69
A convergent stochastic scalar auxiliary variable method	35
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	26
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	24
Fast global spectral methods for three-dimensional partial differential equations	24
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	23
Group sparse optimization for inpainting of random fields on the sphere	21
Finite volumes for the Stefan–Maxwell cross-diffusion system	19
Error analysis of an implicit–explicit time discretization scheme for semilinear wave equations with application to multiscale problems	19
Numerical schemes for radial Dunkl processes	15
On the approximation of singular functions by series of noninteger powers	14
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	12
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	12
Regularized black-box optimization algorithms for least-squares problems	12
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	12
A nodally bound-preserving finite element method	11
Low-cost second-order time-stepping methods for natural convection problem with variable density	11
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	11
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	11
On the fast convergence of minibatch heavy ball momentum	10
Precise error bounds for numerical approximations of fractional HJB equations	10
Homogeneous multigrid for HDG applied to the Stokes equation	10
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	10
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	10

Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	10
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	10
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi	10
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	9
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	9
Discretization error analysis of a high-order unfitted space–time method for moving domain problems	9
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	9
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	9
Computation of Miura surfaces with gradient Dirichlet boundary conditions	9
Positive definite functions on a regular domain	8
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	8
Virtual element method for the Navier–Stokes equation coupled with the heat equation	8
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	8
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	8
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	8
The Milstein scheme for singular SDEs with Hölder continuous drift	8
Efficient low rank matrix recovery with flexible group sparse regularization	8
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	8
Optimal rates of convergence and error localization of Gegenbauer projections	7
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	7
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation	7
Mixed precision low-rank approximations and their application to block low-rank LU factorization	7
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem	7
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	7
New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance and applications to the Stokes’ equations	7
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	7
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	7
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem	7
Optimal convergence in finite element semidiscrete error analysis of the Doyle–Fuller–Newman model beyond one dimension with a novel projection operator	6
Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	6
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations	6
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	6
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	6
The random timestep Euler method and its continuous dynamics	6
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	6
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme	6
The weak convergence order of two Euler-type discretization schemes for the log-Heston model	6
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures	5
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	5
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	5
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	5
Convergence rates under a range invariance condition with application to electrical impedance tomography	5
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing	5
Stability estimates of Nyström discretizations of Helmholtz decomposition boundary integral equation formulations for the solution of Navier scattering problems in two dimensions with Dirichlet bounda	5
A staggered mixed method for the biharmonic problem based on the first-order system	5
Mixed Virtual Element approximation of linear acoustic wave equation	5
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term	5
A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations	5
A second-order Magnus-type integrator for evolution equations with delay	5

Numerical analysis of multiple scattering theory for electronic structure calculations	5
On feedback stabilization for the Cahn–Hilliard equation and its numerical approximation	5
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5
Limits and consistency of nonlocal and graph approximations to the Eikonal equation	5
Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D	5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
Approximation in Hilbert spaces of the Gaussian and related analytic kernels	5
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	4
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	4
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem	4
Adaptive regularization minimization algorithms with nonsmooth norms	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	4
Approximation of SPDE covariance operators by finite elements: a semigroup approach	4
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
On the discrete normalized gradient flow for computing ground states of rotating Bose–Einstein condensates: energy dissipation and global convergence	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
First-Order Perturbation Theory of Trust-Region Subproblem	4
A noncoforming virtual element approximation for the Oseen eigenvalue problem	4
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
A bundle-trust method via gradient sampling technique for nonsmooth optimization using exact and inexact gradients	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy	4
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes	4
Estimates on the generalization error of physics-informed neural networks for approximating PDEs	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
A higher order multiscale method for the wave equation	4
Adaptive VEM for variable data: convergence and optimality	4
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations	4
A frame approach for equations involving the fractional Laplacian	3
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs	3
Discrete anisotropic curve shortening flow in higher codimension	3
Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions	3
A sequential optimality condition for Mathematical Programs with equilibrium constraints based on a nonsmooth formulation	3
Finite volume methods for the computation of statistical solutions of the incompressible Euler equations	3
Least H2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms	3
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity	3
Mean square temporal error estimates for the two-dimensional stochastic Navier–Stokes equations with transport noise	3
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	3
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime	3
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation	3
A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain	3
Inf-sup stable discretization of the quasi-static Biot’s equations in poroelasticity	3
Fully discrete best-approximation-type estimates inL∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations	3
Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule	3
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	3
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves	3
A Lagrange multiplier formulation for the fully dynamic Navier–Stokes–Biot system	3
Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other	3
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	3
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	3
Maximum bound principle and original energy dissipation of arbitrarily high-order ETD Runge–Kutta schemes for Allen–Cahn equations	3
Tensorized block rational Krylov methods for tensor Sylvester equations	3
On projection mappings and the gradient projection method on hyperbolic space forms	3
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization	3
A pressure-robust HHO method for the solution of the incompressible Navier–Stokes equations on general meshes	3
Cauchy data for Levin’s method	3
Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements	3
Randomized iterated Tikhonov regularization for linear ill-posed problems in Hilbert spaces	3
Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions	3
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	3
Infinite-order accuracy limit of finite difference formulas in the complex plane	3
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space	3
Approximating the generalized singular value expansion: error estimates	3
Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model	2
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem	2
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension approach	2
An ODE characterization of multi-marginal optimal transport with pairwise cost functions	2
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	2
On the reduction in accuracy of finite difference schemes on manifolds without boundary	2
A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions	2
Nonoverlapping spectral additive Schwarz methods for hybrid discontinuous Galerkin discretizations	2

FEM-BEM coupling in fractional diffusion	2
Complexity of sparse polynomial solving 2: renormalization	2
Numerical analysis of the LDG method for large deformations of prestrained plates	2
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	2
High-order energy stable discrete variational derivative schemes for gradient flows	2
Higher-order adaptive methods for exit times of Itô diffusions	2
On the convergence of Broyden’s method and some accelerated schemes for singular problems	2
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	2
Underdetermined Fourier extensions for surface partial differential equations	2
Adapting the centred simplex gradient to compensate for misaligned sample points	2
Uniform block-diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes equations and the linear elasticity equations	2
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations	2
On the convergence of Fourier spectral methods involving noncompact operators	2
Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighbourhoods	2
Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data	2
Numerical analysis of lowest-order finite volume methods for a class of Stokes variational inequality problem	2
Uniform L 1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	2
Complex generalized Gauss–Radau quadrature rules for Hankel transforms of integer order	2
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs	2
The weighted and shifted seven-step BDF method for parabolic equations	2
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	2
Interpolation of set-valued functions	2
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells	2
Continuous interior penalty stabilization for divergence-free finite element methods	2
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems	2
When can forward stable algorithms be composed stably?	2
Perturbation estimates for order-one strong approximations of SDEs without globally monotone coefficients	2
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time	2
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation	2
Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves	2
Stochastic theta methods for free stochastic differential equations	2
Diagonalization-based parallel-in-time preconditioners for instationary fluid flow control problems	2
Numerical solution of anH(curl)-elliptic hemivariational inequality	2
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation	2
Multilevel quasi-interpolation	2
The error bounds of Gaussian quadratures for one rational modification of Chebyshev measures	2
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision	2
A walk-on-sphere-motivated finite-difference method for the fractional Poisson equation on a bounded d-dimensional domain	1
The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains	1
Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound	1
Port-Hamiltonian discontinuous Galerkin finite element methods	1
Error estimates of the fully discrete finite element method for thermally driven MHD problems including Joule heating	1
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM	1
On symmetric positive definite preconditioners for multiple saddle-point systems	1
On the convergence of classical and multilevel variants of the Uzawa and Arrow–Hurwicz algorithms related to the LBB condition	1
Post-processing and improved error estimates of numerical methods for evolutionary systems	1
C 0-hybrid high-order methods for biharmonic problems	1
Discrete hypocoercivity for a nonlinear kinetic reaction model	1
Spatio-temporal Lie–Poisson discretization for incompressible magnetohydrodynamics on the sphere	1
Solving nonlinear ODEs with the ultraspherical spectral method	1
Time-dependent electromagnetic scattering from dispersive materials	1
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
Convergence and error control of consistent PINNs for elliptic PDEs	1
Subspace embedding with random Khatri–Rao products and its application to eigensolvers	1
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media	1
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients	1
Computing Klein-Gordon Spectra	1
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties	1
A second-order accurate, positivity-preserving numerical scheme for the Poisson–Nernst–Planck–Navier–Stokes system	1
An exponential stochastic Runge–Kutta type method of order up to 1.5 for SPDEs of Nemytskii-type	1
L 2 norm error estimates of BDF methods up to fifth-order for the phase field crystal model	1
Maximum norm a posteriori error estimates for convection–diffusion problems	1
Reflection coupling for unadjusted generalized Hamiltonian Monte Carlo in the nonconvex stochastic gradient case	1
Unconditionally stable small stencil enriched multiple point flux approximations of heterogeneous diffusion problems on general meshes	1
Error analysis for local discontinuous Galerkin semidiscretization of Richards’ equation	1
On best p-norm approximation of discrete data by polynomials	1
Compactness estimates for difference schemes for conservation laws with discontinuous flux	1
Unitarity of some barycentric rational approximants	1
Adaptive approximations of inclusions in a semilinear elliptic problem related to cardiac electrophysiology	1
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel	1
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition	1
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results	1
AdaBatchGrad : combining adaptive batch size and adaptive step size	1
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn–Hilliard problem	1
An asymptotic preserving scheme for the defocusing Davey–Stewartson II equation in the semiclassical limit	1
Optimal convergence analysis of two RPC-SAV schemes for the unsteady incompressible magnetohydrodynamics equations	1
Erratum to: ”On a time discrete convolution - space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains”	1
Martingale product estimators for sensitivity analysis in computational statistical physics	1
On approximation classes for adaptive time-stepping finite element methods	1
Interpolation and stability properties of low-order face and edge virtual element spaces	1
Exact and inexact Douglas–Rachford splitting methods for solving large-scale sparse absolute value equations	1
Barycentric rational interpolation of exponentially clustered poles	1
On the necessity of the inf-sup condition for a mixed finite element formulation	1
Optimal L 2- error estimates of a locking free numerical method for a quasi-static linear poroelasticity	1
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains	1
The MHM Method for Linear Elasticity on Polytopal Meshes	1
Smoothed circulant embedding with applications to multilevel Monte Carlo methods for PDEs with random coefficients	1
Energy stable semi-implicit schemes for the 2D Allen–Cahn and fractional Cahn–Hilliard equations	1
Convergence analysis for minimum action methods coupled with a finite difference method	1
Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
Linearly implicit energy-preserving integrating factor methods and convergence analysis for the 2D nonlinear Schrödinger equation with wave operator	1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling	1
An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem	1
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems	1