IMA Journal of Numerical Analysis

Article	Citations
Two-scale methods for the normalized infinity Laplacian: rates of convergence	87
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	27
A convergent stochastic scalar auxiliary variable method	27
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	24
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	22
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	17
Group sparse optimization for inpainting of random fields on the sphere	16
Error analysis of an implicit–explicit time discretization scheme for semilinear wave equations with application to multiscale problems	15
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	15
A nodally bound-preserving finite element method	14
Regularized black-box optimization algorithms for least-squares problems	14
Finite volumes for the Stefan–Maxwell cross-diffusion system	14
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	14
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	13
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	13
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	13
Fast global spectral methods for three-dimensional partial differential equations	13
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi	13
Numerical schemes for radial Dunkl processes	12
On the approximation of singular functions by series of noninteger powers	12
Low-cost second-order time-stepping methods for natural convection problem with variable density	11
Homogeneous multigrid for HDG applied to the Stokes equation	11
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	11
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	11
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	11

Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	11
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	10
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	10
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	10
Discretization error analysis of a high-order unfitted space–time method for moving domain problems	10
Positive definite functions on a regular domain	9
hp -discontinuous Galerkin method for the generalized Burgers–Huxley equation with weakly singular kernels	9
Precise error bounds for numerical approximations of fractional HJB equations	9
The Milstein scheme for singular SDEs with Hölder continuous drift	9
Efficient low rank matrix recovery with flexible group sparse regularization	9
On the fast convergence of minibatch heavy ball momentum	9
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	9
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	8
A structure-preserving relaxation Crank–Nicolson finite element method for the Schrödinger–Poisson equation	8
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	8
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	8
New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance and applications to the Stokes’ equations	8
Computation of Miura surfaces with gradient Dirichlet boundary conditions	8
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	8
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	8
Optimal rates of convergence and error localization of Gegenbauer projections	7
Virtual element method for the Navier–Stokes equation coupled with the heat equation	7
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	7
The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems	7
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	7
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem	7
Mixed precision low-rank approximations and their application to block low-rank LU factorization	7
The Landau–Lifshitz–Bloch equation on polytopal domains: unique existence and finite element approximation	7
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation	7
Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	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
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	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 random timestep Euler method and its continuous dynamics	6
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	6
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	6
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme	6
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing	5
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	5
Convergence rates under a range invariance condition with application to electrical impedance tomography	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5
Approximation in Hilbert spaces of the Gaussian and related analytic kernels	5
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	5
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations	5
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	5
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
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

Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	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
On feedback stabilization for the Cahn–Hilliard equation and its numerical approximation	5
Mixed Virtual Element approximation of linear acoustic wave equation	5
A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations	5
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations	4
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	4
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	4
On the discrete normalized gradient flow for computing ground states of rotating Bose–Einstein condensates: energy dissipation and global convergence	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
A higher order multiscale method for the wave equation	4
A noncoforming virtual element approximation for the Oseen eigenvalue problem	4
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term	4
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	4
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	4
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	4
Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy	4
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
Approximation of SPDE covariance operators by finite elements: a semigroup approach	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	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
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	4
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures	4
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation	4
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space	4
A hybrid polynomial spectral collocation method for weakly singular Volterra integral equations with variable exponent	4
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
First-Order Perturbation Theory of Trust-Region Subproblem	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
A space-time finite element method for parabolic obstacle problems	4
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	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
A staggered mixed method for the biharmonic problem based on the first-order system	4
A bundle-trust method via gradient sampling technique for nonsmooth optimization using exact and inexact gradients	4
Adapting the centred simplex gradient to compensate for misaligned sample points	3
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	3
A frame approach for equations involving the fractional Laplacian	3
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves	3
Tensorized block rational Krylov methods for tensor Sylvester equations	3
A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain	3
Deterministic and probabilistic rounding error analysis of neural networks in floating-point arithmetic	3
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	3
Infinite-order accuracy limit of finite difference formulas in the complex plane	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
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells	3
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	3
Nonoverlapping spectral additive Schwarz methods for hybrid discontinuous Galerkin discretizations	3
Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves	3
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime	3
Inf-sup stable discretization of the quasi-static Biot’s equations in poroelasticity	3
Finite volume methods for the computation of statistical solutions of the incompressible Euler equations	3
On projection mappings and the gradient projection method on hyperbolic space forms	3
A sequential optimality condition for Mathematical Programs with equilibrium constraints based on a nonsmooth formulation	3
Maximum bound principle and original energy dissipation of arbitrarily high-order ETD Runge–Kutta schemes for Allen–Cahn equations	3
Mean square temporal error estimates for the two-dimensional stochastic Navier–Stokes equations with transport noise	3
Least H 2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms	3
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization	3
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem	3
Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighbourhoods	3
Perturbation estimates for order-one strong approximations of SDEs without globally monotone coefficients	3
A pressure-robust HHO method for the solution of the incompressible Navier–Stokes equations on general meshes	3
Approximating the generalized singular value expansion: error estimates	3
Cauchy data for Levin’s method	3
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity	3
Randomized iterated Tikhonov regularization for linear ill-posed problems in Hilbert spaces	3
On the reduction in accuracy of finite difference schemes on manifolds without boundary	3
A Lagrange multiplier formulation for the fully dynamic Navier–Stokes–Biot system	3
A Lagrange multiplier-based method for Stokes–generalized poroelasticity interface problems	3

A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	3
Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule	3
Discrete anisotropic curve shortening flow in higher codimension	3
An ODE characterization of multi-marginal optimal transport with pairwise cost functions	3
Uniform block-diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes equations and the linear elasticity equations	2
Continuous interior penalty stabilization for divergence-free finite element methods	2
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation	2
Complex generalized Gauss–Radau quadrature rules for Hankel transforms of integer order	2
An evolving surface finite element method for the Cahn–Hilliard equation with a logarithmic potential	2
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs	2
Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation	2
Reflection coupling for unadjusted generalized Hamiltonian Monte Carlo in the nonconvex stochastic gradient case	2
Asymptotic-preserving approximations for stochastic incompressible viscous fluids and SPDEs on graph	2
High-order energy stable discrete variational derivative schemes for gradient flows	2
Stochastic theta methods for free stochastic differential equations	2
On the convergence of Fourier spectral methods involving noncompact operators	2
L 2 norm error estimates of BDF methods up to fifth-order for the phase field crystal model	2
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM	2
Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model	2
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension approach	2
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	2
When can forward stable algorithms be composed stably?	2
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time	2
Uniform L 1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	2
Smoothed circulant embedding with applications to multilevel Monte Carlo methods for PDEs with random coefficients	2
An accelerated frequency-independent solver for oscillatory differential equations	2
Interpolation of set-valued functions	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
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation	2
Complexity of sparse polynomial solving 2: renormalization	2
The weighted and shifted seven-step BDF method for parabolic equations	2
Convergence analysis for nonlinear GMRES	2
Underdetermined Fourier extensions for surface partial differential equations	2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations	2
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	2
Higher-order adaptive methods for exit times of Itô diffusions	2
Numerical analysis of lowest-order finite volume methods for a class of Stokes variational inequality problem	2
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems	2
Barycentric rational interpolation of exponentially clustered poles	2
Multilevel quasi-interpolation	2
Diagonalization-based parallel-in-time preconditioners for instationary fluid flow control problems	2
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	2
FEM-BEM coupling in fractional diffusion	2
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties	2
C 0-hybrid high-order methods for biharmonic problems	2
The error bounds of Gaussian quadratures for one rational modification of Chebyshev measures	2
Adaptive approximations of inclusions in a semilinear elliptic problem related to cardiac electrophysiology	1
Compactness estimates for difference schemes for conservation laws with discontinuous flux	1
Energy stable semi-implicit schemes for the 2D Allen–Cahn and fractional Cahn–Hilliard equations	1
Deep-layer limit and stability analysis of the basic forward–backward-splitting induced network (I): feed-forward systems	1
AdaBatchGrad : combining adaptive batch size and adaptive step size	1
Maximum norm a posteriori error estimates for convection–diffusion problems	1
A second-order accurate, positivity-preserving numerical scheme for the Poisson–Nernst–Planck–Navier–Stokes system	1
A hybrid high-order method for the Gross–Pitaevskii eigenvalue problem	1
A posteriori error analysis of space-time discontinuous Galerkin methods for the ε-stochastic Allen–Cahn equation	1
Approximation of set-valued functions with images sets in ℝ d	1
Computing Klein-Gordon Spectra	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
Unitarity of some barycentric rational approximants	1
Time-dependent electromagnetic scattering from dispersive materials	1
On best p-norm approximation of discrete data by polynomials	1
Exponential convergence of hp-ILGFEM for semilinear elliptic boundary value problems with monomial reaction	1
Convergence of a positivity-preserving DDFV scheme for compressible two-phase flow in porous media	1
A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller–Segel model	1
Convergence and error control of consistent PINNs for elliptic PDEs	1
Unconditionally stable small stencil enriched multiple point flux approximations of heterogeneous diffusion problems on general meshes	1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling	1
Linearly implicit energy-preserving integrating factor methods and convergence analysis for the 2D nonlinear Schrödinger equation with wave operator	1
On approximation classes for adaptive time-stepping finite element methods	1
Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound	1
Optimal convergence analysis of two RPC-SAV schemes for the unsteady incompressible magnetohydrodynamics equations	1
A projection scheme for an incompressible soft material poromechanics model	1
An exponential stochastic Runge–Kutta type method of order up to 1.5 for SPDEs of Nemytskii-type	1
Martingale product estimators for sensitivity analysis in computational statistical physics	1
Post-processing and improved error estimates of numerical methods for evolutionary systems	1
On the convergence of classical and multilevel variants of the Uzawa and Arrow–Hurwicz algorithms related to the LBB condition	1
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains	1
On symmetric positive definite preconditioners for multiple saddle-point systems	1
Numerical analysis of an evolving bulk–surface model of tumour growth	1
Spatio-temporal Lie–Poisson discretization for incompressible magnetohydrodynamics on the sphere	1
A fully mixed virtual element method for Darcy–Forchheimer miscible displacement of incompressible fluids appearing in porous media	1
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results	1
Subspace embedding with random Khatri–Rao products and its application to eigensolvers	1
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn–Hilliard problem	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
Erratum to: ”On a time discrete convolution - space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains”	1
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
Skew-symmetric schemes for stochastic differential equations with non-Lipschitz drift: an unadjusted Barker algorithm	1
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media	1
Randomized admissible block coordinate descent methods for computing extreme eigenpairs of symmetric matrices	1
Error estimates of the fully discrete finite element method for thermally driven MHD problems including Joule heating	1
A walk-on-sphere-motivated finite-difference method for the fractional Poisson equation on a bounded d-dimensional domain	1
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition	1