IMA Journal of Numerical Analysis

Article	Citations
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	108
Two-scale methods for the normalized infinity Laplacian: rates of convergence	66
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	31
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi	24
A convergent stochastic scalar auxiliary variable method	23
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	23
Fast global spectral methods for three-dimensional partial differential equations	21
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	19
Group sparse optimization for inpainting of random fields on the sphere	18
Error analysis of an implicit–explicit time discretization scheme for semilinear wave equations with application to multiscale problems	18
Low-cost second-order time-stepping methods for natural convection problem with variable density	14
Finite volumes for the Stefan–Maxwell cross-diffusion system	13
On the approximation of singular functions by series of noninteger powers	12
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	12
Numerical schemes for radial Dunkl processes	12
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	12
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	11
Regularized black-box optimization algorithms for least-squares problems	11
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	11
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	10
A nodally bound-preserving finite element method	10
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	10
Precise error bounds for numerical approximations of fractional HJB equations	10
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	10
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	10

Homogeneous multigrid for HDG applied to the Stokes equation	9
Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media	9
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	9
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	9
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	9
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	9
On the fast convergence of minibatch heavy ball momentum	9
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	8
Efficient low rank matrix recovery with flexible group sparse regularization	8
The Milstein scheme for singular SDEs with Hölder continuous drift	8
Computation of Miura surfaces with gradient Dirichlet boundary conditions	8
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour	8
Positive definite functions on a regular domain	8
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	8
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	8
Mixed precision low-rank approximations and their application to block low-rank LU factorization	7
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	7
Virtual element method for the Navier–Stokes equation coupled with the heat equation	7
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem	7
Optimal rates of convergence and error localization of Gegenbauer projections	7
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	7
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	7
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	7
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	7
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	7
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem	7
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	7
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	6
Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	6
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	6
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations	6
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation	6
Optimal convergence in finite element semidiscrete error analysis of the Doyle–Fuller–Newman model beyond one dimension with a novel projection operator	6
The weak convergence order of two Euler-type discretization schemes for the log-Heston model	6
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	6
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme	6
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D	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
Mixed Virtual Element approximation of linear acoustic wave equation	5
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	5
Numerical analysis of multiple scattering theory for electronic structure calculations	5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
Fast mass lumped multiscale wave propagation modelling	5
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	5
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	5
A staggered mixed method for the biharmonic problem based on the first-order system	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 second-order Magnus-type integrator for evolution equations with delay	5
Approximation in Hilbert spaces of the Gaussian and related analytic kernels	5
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	5
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term	5
First-Order Perturbation Theory of Trust-Region Subproblem	4
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions	4
Estimates on the generalization error of physics-informed neural networks for approximating PDEs	4
Approximation of SPDE covariance operators by finite elements: a semigroup approach	4
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
A bundle-trust method via gradient sampling technique for nonsmooth optimization using exact and inexact gradients	4
Adaptive regularization minimization algorithms with nonsmooth norms	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space	4
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
Adaptive VEM for variable data: convergence and optimality	4
A higher order multiscale method for the wave equation	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
A noncoforming virtual element approximation for the Oseen eigenvalue problem	4
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	4
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
Limits and consistency of nonlocal and graph approximations to the Eikonal equation	4
Error analysis for space discretizations of quasilinear wave-type equations	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
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	3
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	3
Finite volume methods for the computation of statistical solutions of the incompressible Euler equations	3
Infinite-order accuracy limit of finite difference formulas in the complex plane	3
An ODE characterization of multi-marginal optimal transport with pairwise cost functions	3
Perturbation estimates for order-one strong approximations of SDEs without globally monotone coefficients	3
A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain	3
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization	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
Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other	3
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs	3
Maximum bound principle and original energy dissipation of arbitrarily high-order ETD Runge–Kutta schemes for Allen–Cahn equations	3
Convergence, error analysis and longtime behavior of the scalar auxiliary variable method for the nonlinear Schrödinger equation	3
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem	3
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	3
A pressure-robust HHO method for the solution of the incompressible Navier–Stokes equations on general meshes	3
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	3
On the reduction in accuracy of finite difference schemes on manifolds without boundary	3
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs	3
Mean square temporal error estimates for the two-dimensional stochastic Navier–Stokes equations with transport noise	3
Discrete anisotropic curve shortening flow in higher codimension	3
Tensorized block rational Krylov methods for tensor Sylvester equations	3
Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions	3
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves	3
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	3
Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements	3
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	3
Cauchy data for Levin’s method	3
Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule	3
Nonoverlapping spectral additive Schwarz methods for hybrid discontinuous Galerkin discretizations	3
Adapting the centred simplex gradient to compensate for misaligned sample points	3
Inf-sup stable discretization of the quasi-static Biot’s equations in poroelasticity	3
Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions	3
Fully discrete best-approximation-type estimates inL∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations	3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime	3
A low-order divergence-free H(div)-conforming finite element method for Stokes flows	3
A sequential optimality condition for Mathematical Programs with equilibrium constraints based on a nonsmooth formulation	3
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
When can forward stable algorithms be composed stably?	2
Complex generalized Gauss–Radau quadrature rules for Hankel transforms of integer order	2
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	2
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM	2

Uniform L1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	2
L 2 norm error estimates of BDF methods up to fifth-order for the phase field crystal model	2
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs	2
High-order energy stable discrete variational derivative schemes for gradient flows	2
On the convergence of Broyden’s method and some accelerated schemes for singular problems	2
On the convergence of Fourier spectral methods involving noncompact operators	2
The weighted and shifted seven-step BDF method for parabolic equations	2
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem	2
Numerical analysis of lowest-order finite volume methods for a class of Stokes variational inequality problem	2
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	2
Interpolation of set-valued functions	2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations	2
Higher-order adaptive methods for exit times of Itô diffusions	2
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties	2
Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data	2
Numerical analysis of the LDG method for large deformations of prestrained plates	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
C 0-hybrid high-order methods for biharmonic problems	2
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension approach	2
Uniform block-diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes equations and the linear elasticity equations	2
Numerical solution of anH(curl)-elliptic hemivariational inequality	2
A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery	2
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	2
A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions	2
Stochastic theta methods for free stochastic differential equations	2
FEM-BEM coupling in fractional diffusion	2
Reflection coupling for unadjusted generalized Hamiltonian Monte Carlo in the nonconvex stochastic gradient case	2
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision	2
Interpolation and stability properties of low-order face and edge virtual element spaces	2
Multilevel quasi-interpolation	2
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation	2
The error bounds of Gaussian quadratures for one rational modification of Chebyshev measures	2
Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model	2
Complexity of sparse polynomial solving 2: renormalization	2
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems	2
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	2
A second-order accurate, positivity-preserving numerical scheme for the Poisson–Nernst–Planck–Navier–Stokes system	1
Optimal convergence analysis of two RPC-SAV schemes for the unsteady incompressible magnetohydrodynamics equations	1
Solving nonlinear ODEs with the ultraspherical spectral method	1
Approximation of fractional harmonic maps	1
A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients	1
A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller–Segel model	1
A conforming multi-domain Legendre spectral method for solving diffusive-viscous wave equations in the exterior domain with separated star-shaped obstacles	1
Error analysis for local discontinuous Galerkin semidiscretization of Richards’ equation	1
A mesh-independent method for second-order potential mean field games	1
Long time behavior of finite volume discretization of symmetrizable linear hyperbolic systems	1
On best p-norm approximation of discrete data by polynomials	1
Discrete hypocoercivity for a nonlinear kinetic reaction model	1
Energy stable semi-implicit schemes for the 2D Allen–Cahn and fractional Cahn–Hilliard equations	1
On the convergence of classical and multilevel variants of the Uzawa and Arrow–Hurwicz algorithms related to the LBB condition	1
Adaptive approximations of inclusions in a semilinear elliptic problem related to cardiac electrophysiology	1
The MHM Method for Linear Elasticity on Polytopal Meshes	1
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
Post-processing and improved error estimates of numerical methods for evolutionary systems	1
Maximum norm a posteriori error estimates for convection–diffusion problems	1
Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound	1
Computing Klein-Gordon Spectra	1
A posteriori error analysis of space-time discontinuous Galerkin methods for the ε-stochastic Allen–Cahn equation	1
Learning a Gaussian mixture for sparsity regularization in inverse problems	1
hp-version C1-continuous Petrov–Galerkin method for nonlinear second-order initial value problems with application to wave equations	1
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel	1
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains	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
Smoothed circulant embedding with applications to multilevel Monte Carlo methods for PDEs with random coefficients	1
Linearly implicit energy-preserving integrating factor methods and convergence analysis for the 2D nonlinear Schrödinger equation with wave operator	1
Numerical analysis of an evolving bulk–surface model of tumour growth	1
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition	1
Unitarity of some barycentric rational approximants	1
Time-dependent electromagnetic scattering from dispersive materials	1
A walk-on-sphere-motivated finite-difference method for the fractional Poisson equation on a bounded d-dimensional domain	1
An exponential stochastic Runge–Kutta type method of order up to 1.5 for SPDEs of Nemytskii-type	1
Unconditionally stable small stencil enriched multiple point flux approximations of heterogeneous diffusion problems on general meshes	1
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results	1
On approximation classes for adaptive time-stepping finite element methods	1
On the necessity of the inf-sup condition for a mixed finite element formulation	1
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems	1
A consistent quasi–second-order staggered scheme for the two-dimensional shallow water equations	1
Numerical method and error estimate for stochastic Landau–Lifshitz–Bloch equation	1
Exact and inexact Douglas–Rachford splitting methods for solving large-scale sparse absolute value equations	1
Error estimates for physics-informed neural networks approximating the Navier–Stokes equations	1
Parametric finite-element discretization of the surface Stokes equations: inf-sup stability and discretization error analysis	1
Barycentric rational interpolation of exponentially clustered poles	1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling	1
Compactness estimates for difference schemes for conservation laws with discontinuous flux	1
Subspace embedding with random Khatri–Rao products and its application to eigensolvers	1
Exponential convergence of hp-ILGFEM for semilinear elliptic boundary value problems with monomial reaction	1
Spatio-temporal Lie–Poisson discretization for incompressible magnetohydrodynamics on the sphere	1
Martingale product estimators for sensitivity analysis in computational statistical physics	1
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn–Hilliard problem	1
A second-order accurate numerical scheme for a time-fractional Fokker–Planck equation	1
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media	1
Multiple projection Markov chain Monte Carlo algorithms on submanifolds	1
Pyramid transform of manifold data via subdivision operators	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