IMA Journal of Numerical Analysis

Papers
(The median citation count of IMA Journal of Numerical Analysis is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis90
Two-scale methods for the normalized infinity Laplacian: rates of convergence54
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis28
Fast global spectral methods for three-dimensional partial differential equations22
On the minimum value of the condition number of polynomials20
Finite volumes for the Stefan–Maxwell cross-diffusion system19
Group sparse optimization for inpainting of random fields on the sphere18
A nodally bound-preserving finite element method17
A symmetric low-regularity integrator for the nonlinear Schrödinger equation16
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi15
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform14
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes14
On the approximation of singular functions by series of noninteger powers12
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes12
A fast algorithm for smooth convex minimization problems and its application to inverse source problems11
Numerical schemes for radial Dunkl processes11
A convergent stochastic scalar auxiliary variable method11
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions11
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow11
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions10
On the fast convergence of minibatch heavy ball momentum10
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction10
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation9
Homogeneous multigrid for HDG applied to the Stokes equation9
The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method9
Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media9
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds9
Variational data assimilation with finite-element discretization for second-order parabolic interface equation8
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients8
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints8
Precise error bounds for numerical approximations of fractional HJB equations8
A locking-free P0 finite element method for linear elasticity equations on polytopal partitions8
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension8
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods8
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour8
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods7
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows7
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise7
Efficient low rank matrix recovery with flexible group sparse regularization7
Analysis of a Galerkin finite element method for the Maxwell–Schrödinger system under temporal gauge7
Mixed precision low-rank approximations and their application to block low-rank LU factorization7
Optimal rates of convergence and error localization of Gegenbauer projections7
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations7
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems7
Virtual element method for the Navier–Stokes equation coupled with the heat equation7
The Milstein scheme for singular SDEs with Hölder continuous drift7
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems6
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem6
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm6
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation6
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem6
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation6
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme6
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information6
Analysis of an electroless plating problem6
Computation of Miura surfaces with gradient Dirichlet boundary conditions6
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity6
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations6
Positive definite functions on a regular domain6
Fast mass lumped multiscale wave propagation modelling5
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations5
Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D5
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme5
Numerical analysis of multiple scattering theory for electronic structure calculations5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media5
Convergent evolving finite element approximations of boundary evolution under shape gradient flow5
Mixed Virtual Element approximation of linear acoustic wave equation5
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method5
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing5
A second-order Magnus-type integrator for evolution equations with delay5
Strong error estimates for a space-time discretization of the linear-quadratic control problem with the stochastic heat equation with linear noise5
The weak convergence order of two Euler-type discretization schemes for the log-Heston model5
Approximation in Hilbert spaces of the Gaussian and related analytic kernels5
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures5
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes4
A higher order multiscale method for the wave equation4
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces4
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations4
Limits and consistency of nonlocal and graph approximations to the Eikonal equation4
A staggered mixed method for the biharmonic problem based on the first-order system4
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation4
Multiresolution analysis for stochastic hyperbolic conservation laws4
Adaptive regularization minimization algorithms with nonsmooth norms4
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems4
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term4
Convergence rates under a range invariance condition with application to electrical impedance tomography4
Stability estimates of Nyström discretizations of Helmholtz decomposition boundary integral equation formulations for the solution of Navier scattering problems in two dimensions with Dirichlet bounda4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation4
Estimates on the generalization error of physics-informed neural networks for approximating PDEs4
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem4
Error analysis for space discretizations of quasilinear wave-type equations4
Smaller generalization error derived for a deep residual neural network compared with shallow networks4
Adaptive VEM for variable data: convergence and optimality4
Approximation of SPDE covariance operators by finite elements: a semigroup approach4
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations4
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits3
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds3
A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain3
A pressure-robust HHO method for the solution of the incompressible Navier–Stokes equations on general meshes3
Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions3
Cauchy data for Levin’s method3
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions3
A sequential optimality condition for Mathematical Programs with equilibrium constraints based on a nonsmooth formulation3
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations3
Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule3
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model3
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation3
Maximum norm error bounds for the full discretization of nonautonomous wave equations3
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space3
Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other3
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs3
Discrete anisotropic curve shortening flow in higher codimension3
Fully discrete best-approximation-type estimates inL∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations3
Tensorized block rational Krylov methods for tensor Sylvester equations3
Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements3
Mean square temporal error estimates for the two-dimensional stochastic Navier–Stokes equations with transport noise3
Infinite-order accuracy limit of finite difference formulas in the complex plane3
First-Order Perturbation Theory of Trust-Region Subproblem3
A noncoforming virtual element approximation for the Oseen eigenvalue problem3
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints3
Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions3
Quartic Lp-convergence of cubic Riemannian splines3
Inf-sup stable discretization of the quasi-static Biot’s equations in poroelasticity3
Finite volume methods for the computation of statistical solutions of the incompressible Euler equations3
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves3
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime3
Convergence, error analysis and longtime behavior of the scalar auxiliary variable method for the nonlinear Schrödinger equation3
Least H2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms3
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem3
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes3
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions3
Interpolation of set-valued functions2
Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model2
Uniform block-diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes equations and the linear elasticity equations2
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time2
Numerical analysis of lowest-order finite volume methods for a class of Stokes variational inequality problem2
Numerical solution of anH(curl)-elliptic hemivariational inequality2
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements2
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs2
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems2
Augmented saddle-point formulation of the steady-state Stefan–Maxwell diffusion problem2
Uniform L1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation2
Nonoverlapping spectral additive Schwarz methods for hybrid discontinuous Galerkin discretizations2
A low-order divergence-free H(div)-conforming finite element method for Stokes flows2
Higher-order adaptive methods for exit times of Itô diffusions2
L 2 norm error estimates of BDF methods up to fifth-order for the phase field crystal model2
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension approach2
A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions2
Stochastic theta methods for free stochastic differential equations2
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation2
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation2
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells2
Complex generalized Gauss–Radau quadrature rules for Hankel transforms of integer order2
Adapting the centred simplex gradient to compensate for misaligned sample points2
A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery2
Perturbation estimates for order-one strong approximations of SDEs without globally monotone coefficients2
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision2
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization2
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem2
When can forward stable algorithms be composed stably?2
A least-squares Galerkin approach to gradient and Hessian recovery for nondivergence-form elliptic equations2
On the convergence of Fourier spectral methods involving noncompact operators2
Complexity of sparse polynomial solving 2: renormalization2
Continuous interior penalty stabilization for divergence-free finite element methods2
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint2
Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations2
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs2
An adaptive time stepping scheme for rate-independent systems with nonconvex energy2
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems2
On the reduction in accuracy of finite difference schemes on manifolds without boundary2
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity2
Multilevel quasi-interpolation2
FEM-BEM coupling in fractional diffusion2
On the convergence of classical and multilevel variants of the Uzawa and Arrow–Hurwicz algorithms related to the LBB condition1
On the necessity of the inf-sup condition for a mixed finite element formulation1
Multiple projection Markov chain Monte Carlo algorithms on submanifolds1
Robust solutions of nonlinear least squares problems via min-max optimization1
Reflection coupling for unadjusted generalized Hamiltonian Monte Carlo in the nonconvex stochastic gradient case1
An asymptotic preserving scheme for the defocusing Davey–Stewartson II equation in the semiclassical limit1
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM1
Solving nonlinear ODEs with the ultraspherical spectral method1
The weighted and shifted seven-step BDF method for parabolic equations1
Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs1
Exact and inexact Douglas–Rachford splitting methods for solving large-scale sparse absolute value equations1
On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization1
Smoothed circulant embedding with applications to multilevel Monte Carlo methods for PDEs with random coefficients1
Discrete hypocoercivity for a nonlinear kinetic reaction model1
The MHM Method for Linear Elasticity on Polytopal Meshes1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling1
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel1
Spatio-temporal Lie–Poisson discretization for incompressible magnetohydrodynamics on the sphere1
Martingale product estimators for sensitivity analysis in computational statistical physics1
On best p-norm approximation of discrete data by polynomials1
C 0-hybrid high-order methods for biharmonic problems1
Unconditionally stable small stencil enriched multiple point flux approximations of heterogeneous diffusion problems on general meshes1
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties1
Time-dependent electromagnetic scattering from dispersive materials1
Barycentric rational interpolation of exponentially clustered poles1
Error estimates for physics-informed neural networks approximating the Navier–Stokes equations1
High-order energy stable discrete variational derivative schemes for gradient flows1
Gradient discretization of a 3D-2D-1D mixed-dimensional diffusive model with resolved interface, application to the drying of a fractured porous medium1
Numerical analysis of the LDG method for large deformations of prestrained plates1
Convergence analysis for minimum action methods coupled with a finite difference method1
A fully mixed virtual element method for Darcy–Forchheimer miscible displacement of incompressible fluids appearing in porous media1
Interpolation and stability properties of low-order face and edge virtual element spaces1
Numerical analysis of an evolving bulk–surface model of tumour growth1
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results1
Unitarity of some barycentric rational approximants1
Energy stable semi-implicit schemes for the 2D Allen–Cahn and fractional Cahn–Hilliard equations1
An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem1
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition1
Exponential convergence of hp-ILGFEM for semilinear elliptic boundary value problems with monomial reaction1
Post-processing and improved error estimates of numerical methods for evolutionary systems1
A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller–Segel model1
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains1
On the convergence of Broyden’s method and some accelerated schemes for singular problems1
Uniformly higher order accurate schemes for dynamics of charged particles under fast oscillating magnetic fields1
Error analysis for local discontinuous Galerkin semidiscretization of Richards’ equation1
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients1
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation1
A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients1
Port-Hamiltonian discontinuous Galerkin finite element methods1
The error bounds of Gaussian quadratures for one rational modification of Chebyshev measures1
On symmetric positive definite preconditioners for multiple saddle-point systems1
A walk-on-sphere-motivated finite-difference method for the fractional Poisson equation on a bounded d-dimensional domain1
Learning a Gaussian mixture for sparsity regularization in inverse problems1
Compactness estimates for difference schemes for conservation laws with discontinuous flux1
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs1
Long time behavior of finite volume discretization of symmetrizable linear hyperbolic systems1
Adaptive approximations of inclusions in a semilinear elliptic problem related to cardiac electrophysiology1
A second-order accurate numerical scheme for a time-fractional Fokker–Planck equation1
A self-adaptive theta scheme using discontinuity aware quadrature for solving conservation laws1
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