IMA Journal of Numerical Analysis

Article	Citations
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	192
Two-scale methods for the normalized infinity Laplacian: rates of convergence	79
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	48
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	24
Fast global spectral methods for three-dimensional partial differential equations	23
A convergent stochastic scalar auxiliary variable method	22
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	19
On the minimum value of the condition number of polynomials	19
Numerical schemes for radial Dunkl processes	18
Finite volumes for the Stefan–Maxwell cross-diffusion system	18
Group sparse optimization for inpainting of random fields on the sphere	17
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	16
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	15
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	15
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	14
On the approximation of singular functions by series of noninteger powers	14
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	13
A nodally bound-preserving finite element method	11
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	11
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	11
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	10
On the fast convergence of minibatch heavy ball momentum	10
Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media	10
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	10
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	9

Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	9
The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method	9
Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions	9
Homogeneous multigrid for HDG applied to the Stokes equation	9
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	9
Positive definite functions on a regular domain	8
Optimal rates of convergence and error localization of Gegenbauer projections	8
Precise error bounds for numerical approximations of fractional HJB equations	8
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	8
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	7
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	7
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	7
Mixed precision low-rank approximations and their application to block low-rank LU factorization	7
The Milstein scheme for singular SDEs with Hölder continuous drift	7
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	7
A locking-free P0 finite element method for linear elasticity equations on polytopal partitions	7
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour	7
Analysis of a Galerkin finite element method for the Maxwell–Schrödinger system under temporal gauge	7
Analysis of an electroless plating problem	6
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem	6
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation	6
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	6
Efficient low rank matrix recovery with flexible group sparse regularization	6
Computation of Miura surfaces with gradient Dirichlet boundary conditions	6
Virtual element method for the Navier–Stokes equation coupled with the heat equation	6
The weak convergence order of two Euler-type discretization schemes for the log-Heston model	6
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	6
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	6
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	6
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	6
Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces	6
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	6
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem	6
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	6
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	6
Finite-volume approximation of the invariant measure of a viscous stochastic scalar conservation law	6
A second-order Magnus-type integrator for evolution equations with delay	5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
Fast mass lumped multiscale wave propagation modelling	5
Strong error estimates for a space-time discretization of the linear-quadratic control problem with the stochastic heat equation with linear noise	5
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing	5
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations	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
Convergence rates under a range invariance condition with application to electrical impedance tomography	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
The transport of images method: computing all zeros of harmonic mappings by continuation	5
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	5
Numerical analysis of multiple scattering theory for electronic structure calculations	5

Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
Adaptive regularization minimization algorithms with nonsmooth norms	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations	4
A higher order multiscale method for the wave equation	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
Limits and consistency of nonlocal and graph approximations to the Eikonal equation	4
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	4
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	4
Error analysis for space discretizations of quasilinear wave-type equations	4
A noncoforming virtual element approximation for the Oseen eigenvalue problem	4
Approximation of SPDE covariance operators by finite elements: a semigroup approach	4
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures	4
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	4
Adaptive VEM for variable data: convergence and optimality	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
Finite volume methods for the computation of statistical solutions of the incompressible Euler equations	3
Tensorized block rational Krylov methods for tensor Sylvester equations	3
Least H2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms	3
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	3
Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other	3
Homogeneous multigrid for HDG	3
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	3
Maximum norm error bounds for the full discretization of nonautonomous wave equations	3
Smaller generalization error derived for a deep residual neural network compared with shallow networks	3
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	3
Cauchy data for Levin’s method	3
A sequential optimality condition for Mathematical Programs with equilibrium constraints based on a nonsmooth formulation	3
Quartic Lp-convergence of cubic Riemannian splines	3
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	3
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds	3
Infinite-order accuracy limit of finite difference formulas in the complex plane	3
First-Order Perturbation Theory of Trust-Region Subproblem	3
Estimates on the generalization error of physics-informed neural networks for approximating PDEs	3
Convergence, error analysis and longtime behavior of the scalar auxiliary variable method for the nonlinear Schrödinger equation	3
Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements	3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime	3
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves	3
Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions	3
H 1-stability of the L2-projection onto finite element spaces on adaptively refined quadrilateral meshes	3
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	3
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	3
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes	3
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space	3
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	3
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	3
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension approach	2
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	2
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	2
A low-order divergence-free H(div)-conforming finite element method for Stokes flows	2
Complex generalized Gauss–Radau quadrature rules for Hankel transforms of integer order	2
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs	2
When can forward stable algorithms be composed stably?	2
A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain	2
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	2
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem	2
Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions	2
Uniform L1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	2
Nonoverlapping spectral additive Schwarz methods for hybrid discontinuous Galerkin discretizations	2
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems	2
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation	2
Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data	2
A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions	2
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs	2
Complexity of sparse polynomial solving 2: renormalization	2
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs	2
Uniform block-diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes equations and the linear elasticity equations	2
Convergence of a multidimensional Glimm-like scheme for the transport of fronts	2
Higher-order adaptive methods for exit times of Itô diffusions	2
A pressure-robust HHO method for the solution of the incompressible Navier–Stokes equations on general meshes	2

FEM-BEM coupling in fractional diffusion	2
On the reduction in accuracy of finite difference schemes on manifolds without boundary	2
Fully discrete best-approximation-type estimates inL∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations	2
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	2
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	2
Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule	2
A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery	2
Numerical solution of anH(curl)-elliptic hemivariational inequality	2
Interpolation of set-valued functions	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
Adapting the centred simplex gradient to compensate for misaligned sample points	2
The weighted and shifted seven-step BDF method for parabolic equations	2
Consistency analysis of the Grünwald–Letnikov approximation in a bounded domain	2
A least-squares Galerkin approach to gradient and Hessian recovery for nondivergence-form elliptic equations	2
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization	2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations	2
Discrete anisotropic curve shortening flow in higher codimension	2
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time	2
Augmented saddle-point formulation of the steady-state Stefan–Maxwell diffusion problem	2
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity	2
Multilevel quasi-interpolation	2
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells	2
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision	2
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation	2
The error bounds of Gaussian quadratures for one rational modification of Chebyshev measures	2
Numerical analysis of the LDG method for large deformations of prestrained plates	2
Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model	2
Compactness estimates for difference schemes for conservation laws with discontinuous flux	1
Spatio-temporal Lie–Poisson discretization for incompressible magnetohydrodynamics on the sphere	1
Error analysis for local discontinuous Galerkin semidiscretization of Richards’ equation	1
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains	1
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM	1
Port-Hamiltonian discontinuous Galerkin finite element methods	1
On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization	1
Exact and inexact Douglas–Rachford splitting methods for solving large-scale sparse absolute value equations	1
On the necessity of the inf-sup condition for a mixed finite element formulation	1
Numerical analysis of an evolving bulk–surface model of tumour growth	1
Long time behavior of finite volume discretization of symmetrizable linear hyperbolic systems	1
A fully mixed virtual element method for Darcy–Forchheimer miscible displacement of incompressible fluids appearing in porous media	1
Error estimates for physics-informed neural networks approximating the Navier–Stokes equations	1
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn–Hilliard problem	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
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients	1
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
An asymptotic preserving scheme for the defocusing Davey–Stewartson II equation in the semiclassical limit	1
Pyramid transform of manifold data via subdivision operators	1
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties	1
Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound	1
Discrete hypocoercivity for a nonlinear kinetic reaction model	1
On symmetric positive definite preconditioners for multiple saddle-point systems	1
Smoothed circulant embedding with applications to multilevel Monte Carlo methods for PDEs with random coefficients	1
Unconditionally stable small stencil enriched multiple point flux approximations of heterogeneous diffusion problems on general meshes	1
Interpolation and stability properties of low-order face and edge virtual element spaces	1
Transfer of conservative discrete differential operators between staggered grids: construction and duality relations	1
Continuous interior penalty stabilization for divergence-free finite element methods	1
Post-processing and improved error estimates of numerical methods for evolutionary systems	1
A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients	1
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel	1
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems	1
Multiple projection Markov chain Monte Carlo algorithms on submanifolds	1
A consistent quasi–second-order staggered scheme for the two-dimensional shallow water equations	1
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs	1
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media	1
Solving nonlinear ODEs with the ultraspherical spectral method	1
Maximum norm a posteriori error estimates for convection–diffusion problems	1
A second-order accurate numerical scheme for a time-fractional Fokker–Planck equation	1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling	1
The MHM Method for Linear Elasticity on Polytopal Meshes	1
Energy stable semi-implicit schemes for the 2D Allen–Cahn and fractional Cahn–Hilliard equations	1
C 0-hybrid high-order methods for biharmonic problems	1
Robust solutions of nonlinear least squares problems via min-max optimization	1
Barycentric rational interpolation of exponentially clustered poles	1
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition	1
L 2 norm error estimates of BDF methods up to fifth-order for the phase field crystal model	1
Time-dependent electromagnetic scattering from dispersive materials	1
Gradient discretization of a 3D-2D-1D mixed-dimensional diffusive model with resolved interface, application to the drying of a fractured porous medium	1
On best p-norm approximation of discrete data by polynomials	1
An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem	1
Martingale product estimators for sensitivity analysis in computational statistical physics	1
On approximation classes for adaptive time-stepping finite element methods	1
A walk-on-sphere-motivated finite-difference method for the fractional Poisson equation on a bounded d-dimensional domain	1
An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures	1
Convergence analysis for minimum action methods coupled with a finite difference method	1
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results	1
Unitarity of some barycentric rational approximants	1
An exponential stochastic Runge–Kutta type method of order up to 1.5 for SPDEs of Nemytskii-type	1
A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller–Segel model	1
A self-adaptive theta scheme using discontinuity aware quadrature for solving conservation laws	1