IMA Journal of Numerical Analysis

Article	Citations
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	187
Two-scale methods for the normalized infinity Laplacian: rates of convergence	75
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	47
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	34
Fast global spectral methods for three-dimensional partial differential equations	24
A convergent stochastic scalar auxiliary variable method	23
On the minimum value of the condition number of polynomials	22
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	21
Finite volumes for the Stefan–Maxwell cross-diffusion system	19
Numerical schemes for radial Dunkl processes	19
Group sparse optimization for inpainting of random fields on the sphere	18
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	17
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	15
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	15
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	15
On the approximation of singular functions by series of noninteger powers	14
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	14
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	13
A nodally bound-preserving finite element method	13
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	12
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	11
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	11
Precise error bounds for numerical approximations of fractional HJB equations	11
On the fast convergence of minibatch heavy ball momentum	10
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	10

Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media	10
Stability analysis of general multistep methods for Markovian backward stochastic differential equations	10
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	9
The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method	9
Homogeneous multigrid for HDG applied to the Stokes equation	9
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	9
Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions	9
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
Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework	8
Positive definite functions on a regular domain	8
Optimal rates of convergence and error localization of Gegenbauer projections	8
Mixed precision low-rank approximations and their application to block low-rank LU factorization	8
A locking-free P0 finite element method for linear elasticity equations on polytopal partitions	7
Finite-volume approximation of the invariant measure of a viscous stochastic scalar conservation law	7
Analysis of a Galerkin finite element method for the Maxwell–Schrödinger system under temporal gauge	7
The Milstein scheme for singular SDEs with Hölder continuous drift	7
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	7
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	7
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour	7
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	7
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	6
Efficient low rank matrix recovery with flexible group sparse regularization	6
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	6
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	6
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	6
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	6
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	6
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	6
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem	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
Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces	6
Analysis of an electroless plating problem	6
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	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
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	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
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	5
The transport of images method: computing all zeros of harmonic mappings by continuation	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
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	5

Limits and consistency of nonlocal and graph approximations to the Eikonal equation	5
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	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
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	5
Mixed Virtual Element approximation of linear acoustic wave equation	5
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space	4
Error analysis for space discretizations of quasilinear wave-type equations	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	4
A higher order multiscale method for the wave equation	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
A noncoforming virtual element approximation for the Oseen eigenvalue problem	4
First-Order Perturbation Theory of Trust-Region Subproblem	4
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
Adaptive VEM for variable data: convergence and optimality	4
Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	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
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
Adaptive regularization minimization algorithms with nonsmooth norms	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations	4
Approximation of SPDE covariance operators by finite elements: a semigroup approach	4
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
Convergence, error analysis and longtime behavior of the scalar auxiliary variable method for the nonlinear Schrödinger equation	3
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	3
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	3
A sequential optimality condition for Mathematical Programs with equilibrium constraints based on a nonsmooth formulation	3
Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements	3
The time-fractional Cahn–Hilliard equation: analysis and approximation	3
Homogeneous multigrid for HDG	3
Infinite-order accuracy limit of finite difference formulas in the complex plane	3
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes	3
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	3
Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions	3
Tensorized block rational Krylov methods for tensor Sylvester equations	3
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	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
Least H2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms	3
Quartic Lp-convergence of cubic Riemannian splines	3
Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM	3
H 1-stability of the L2-projection onto finite element spaces on adaptively refined quadrilateral meshes	3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime	3
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	3
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds	3
Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other	3
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
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
Multilevel quasi-interpolation	2
Nonoverlapping spectral additive Schwarz methods for hybrid discontinuous Galerkin discretizations	2
The weighted and shifted seven-step BDF method for parabolic equations	2
A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery	2
A pressure-robust HHO method for the solution of the incompressible Navier–Stokes equations on general meshes	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
Fully discrete best-approximation-type estimates inL∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations	2
Higher-order adaptive methods for exit times of Itô diffusions	2
Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule	2
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	2
Cauchy data for Levin’s method	2
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	2
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	2
L 2 norm error estimates of BDF methods up to fifth-order for the phase field crystal model	2
The error bounds of Gaussian quadratures for one rational modification of Chebyshev measures	2
High-order energy stable discrete variational derivative schemes for gradient flows	2
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	2
On the convergence of Broyden’s method and some accelerated schemes for singular problems	2
Augmented saddle-point formulation of the steady-state Stefan–Maxwell diffusion problem	2

On the convergence of Fourier spectral methods involving noncompact operators	2
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision	2
A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain	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
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs	2
When can forward stable algorithms be composed stably?	2
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs	2
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity	2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations	2
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves	2
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time	2
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells	2
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation	2
Continuous interior penalty stabilization for divergence-free finite element methods	2
Interpolation and stability properties of low-order face and edge virtual element spaces	2
Numerical analysis of the LDG method for large deformations of prestrained plates	2
Adapting the centred simplex gradient to compensate for misaligned sample points	2
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
Uniform L1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	2
Discrete anisotropic curve shortening flow in higher codimension	2
Complexity of sparse polynomial solving 2: renormalization	2
Consistency analysis of the Grünwald–Letnikov approximation in a bounded domain	2
A low-order divergence-free H(div)-conforming finite element method for Stokes flows	2
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	2
Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions	2
A least-squares Galerkin approach to gradient and Hessian recovery for nondivergence-form elliptic equations	2
Finite volume methods for the computation of statistical solutions of the incompressible Euler equations	2
FEM-BEM coupling in fractional diffusion	2
Convergence of a multidimensional Glimm-like scheme for the transport of fronts	2
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems	2
Interpolation of set-valued functions	2
Barycentric rational interpolation of exponentially clustered poles	1
Post-processing and improved error estimates of numerical methods for evolutionary systems	1
Solving nonlinear ODEs with the ultraspherical spectral method	1
Transfer of conservative discrete differential operators between staggered grids: construction and duality relations	1
Numerical analysis of a wave equation for lossy media obeying a frequency power law	1
Linearly implicit energy-preserving integrating factor methods and convergence analysis for the 2D nonlinear Schrödinger equation with wave operator	1
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel	1
Error estimates for physics-informed neural networks approximating the Navier–Stokes equations	1
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
Convergence analysis for minimum action methods coupled with a finite difference method	1
An exponential stochastic Runge–Kutta type method of order up to 1.5 for SPDEs of Nemytskii-type	1
A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients	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
Spatio-temporal Lie–Poisson discretization for incompressible magnetohydrodynamics on the sphere	1
Multiple projection Markov chain Monte Carlo algorithms on submanifolds	1
Energy stable semi-implicit schemes for the 2D Allen–Cahn and fractional Cahn–Hilliard equations	1
Compactness estimates for difference schemes for conservation laws with discontinuous flux	1
A self-adaptive theta scheme using discontinuity aware quadrature for solving conservation laws	1
C 0-hybrid high-order methods for biharmonic problems	1
Unconditionally stable small stencil enriched multiple point flux approximations of heterogeneous diffusion problems on general meshes	1
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM	1
A fully mixed virtual element method for Darcy–Forchheimer miscible displacement of incompressible fluids appearing in porous media	1
A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller–Segel model	1
Port-Hamiltonian discontinuous Galerkin finite element methods	1
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media	1
A second-order accurate numerical scheme for a time-fractional Fokker–Planck equation	1
Martingale product estimators for sensitivity analysis in computational statistical physics	1
Strictly positive definite kernels on the 2-sphere: from radial symmetry to eigenvalue block structure	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
Pyramid transform of manifold data via subdivision operators	1
Long time behavior of finite volume discretization of symmetrizable linear hyperbolic systems	1
An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures	1
Unitarity of some barycentric rational approximants	1
On approximation classes for adaptive time-stepping finite element methods	1
Numerical analysis of an evolving bulk–surface model of tumour growth	1
An asymptotic preserving scheme for the defocusing Davey–Stewartson II equation in the semiclassical limit	1
Discrete hypocoercivity for a nonlinear kinetic reaction model	1
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition	1
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties	1
Time-dependent electromagnetic scattering from dispersive materials	1
On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization	1
On best p-norm approximation of discrete data by polynomials	1
Exact and inexact Douglas–Rachford splitting methods for solving large-scale sparse absolute value equations	1
A consistent quasi–second-order staggered scheme for the two-dimensional shallow water equations	1
An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem	1
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results	1
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs	1
Maximum norm a posteriori error estimates for convection–diffusion problems	1
On symmetric positive definite preconditioners for multiple saddle-point systems	1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling	1
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients	1
A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation	1
Smoothed circulant embedding with applications to multilevel Monte Carlo methods for PDEs with random coefficients	1
Finite element analysis for a diffusion equation on a harmonically evolving domain	1
The MHM Method for Linear Elasticity on Polytopal Meshes	1
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains	1
Error analysis for local discontinuous Galerkin semidiscretization of Richards’ equation	1
On the necessity of the inf-sup condition for a mixed finite element formulation	1