IMA Journal of Numerical Analysis

Article	Citations
Two-scale methods for the normalized infinity Laplacian: rates of convergence	88
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	28
A convergent stochastic scalar auxiliary variable method	24
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	22
Regularized black-box optimization algorithms for least-squares problems	18
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	16
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	15
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	15
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi	15
Group sparse optimization for inpainting of random fields on the sphere	15
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	14
Numerical schemes for radial Dunkl processes	14
On the approximation of singular functions by series of noninteger powers	14
Low-cost second-order time-stepping methods for natural convection problem with variable density	13
Fast global spectral methods for three-dimensional partial differential equations	13
A nodally bound-preserving finite element method	12
Finite volumes for the Stefan–Maxwell cross-diffusion system	12
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	12
Error analysis of an implicit–explicit time discretization scheme for semilinear wave equations with application to multiscale problems	12
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	11
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	11
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	11
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	11
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	11
Discretization error analysis of a high-order unfitted space–time method for moving domain problems	11

On the fast convergence of minibatch heavy ball momentum	10
Convergence of a finite volume scheme for compactly heterogeneous scalar conservation laws	10
Precise error bounds for numerical approximations of fractional HJB equations	10
Homogeneous multigrid for HDG applied to the Stokes equation	10
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	10
Positive definite functions on a regular domain	9
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	9
New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance and applications to the Stokes’ equations	9
Inexact Newton regularizations with uniformly convex stability terms: a unified convergence analysis	9
A structure-preserving relaxation Crank–Nicolson finite element method for the Schrödinger–Poisson equation	9
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	9
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	8
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	8
Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems	8
The Milstein scheme for singular SDEs with Hölder continuous drift	8
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	7
Efficient low rank matrix recovery with flexible group sparse regularization	7
The Landau–Lifshitz–Bloch equation on polytopal domains: unique existence and finite element approximation	7
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
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	7
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	7
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	7
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	7
Mixed precision low-rank approximations and their application to block low-rank LU factorization	7
The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems	7
A discontinuous Galerkin method for the extracellular membrane intracellular model	6
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation	6
Optimal convergence in finite element semidiscrete error analysis of the Doyle–Fuller–Newman model beyond one dimension with a novel projection operator	6
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem	6
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	6
Computation of Miura surfaces with gradient Dirichlet boundary conditions	6
The random timestep Euler method and its continuous dynamics	6
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	6
hp -discontinuous Galerkin method for the generalized Burgers–Huxley equation with weakly singular kernels	6
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle 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
Numerical analysis of multiple scattering theory for electronic structure calculations	5
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	5
Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D	5
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations	5
A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations	5
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures	5
Mixed Virtual Element approximation of linear acoustic wave equation	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
Approximation in Hilbert spaces of the Gaussian and related analytic kernels	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5

A staggered mixed method for the biharmonic problem based on the first-order system	5
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	5
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme	5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	5
A second-order Magnus-type integrator for evolution equations with delay	5
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
Limits and consistency of nonlocal and graph approximations to the Eikonal equation	4
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
Quadrature formulas from rational approximations	4
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	4
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation	4
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	4
A hybrid polynomial spectral collocation method for weakly singular Volterra integral equations with variable exponent	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	4
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
A bundle-trust method via gradient sampling technique for nonsmooth optimization using exact and inexact gradients	4
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations	4
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	4
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing	4
On feedback stabilization for the Cahn–Hilliard equation and its numerical approximation	4
A noncoforming virtual element approximation for the Oseen eigenvalue problem	4
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	4
First-Order Perturbation Theory of Trust-Region Subproblem	4
A space-time finite element method for parabolic obstacle problems	4
A higher order multiscale method for the wave equation	4
On the discrete normalized gradient flow for computing ground states of rotating Bose–Einstein condensates: energy dissipation and global convergence	4
Adaptive VEM for variable data: convergence and optimality	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	4
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy	4
A unified global-in-time energy stability analysis of ETDRK schemes for the Cahn–Hilliard–Ohta–Kawasaki equation	4
Mean square temporal error estimates for the two-dimensional stochastic Navier–Stokes equations with transport noise	3
On the reduction in accuracy of finite difference schemes on manifolds without boundary	3
Deterministic and probabilistic rounding error analysis of neural networks in floating-point arithmetic	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
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization	3
A Lagrange multiplier-based method for Stokes–generalized poroelasticity interface problems	3
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	3
Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other	3
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	3
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves	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
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	3
Finite volume methods for the computation of statistical solutions of the incompressible Euler equations	3
Discrete anisotropic curve shortening flow in higher codimension	3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime	3
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs	3
Randomized iterated Tikhonov regularization for linear ill-posed problems in Hilbert spaces	3
Maximum bound principle and original energy dissipation of arbitrarily high-order ETD Runge–Kutta schemes for Allen–Cahn equations	3
Infinite-order accuracy limit of finite difference formulas in the complex plane	3
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	3
Cauchy data for Levin’s method	3
On projection mappings and the gradient projection method on hyperbolic space forms	3
An ODE characterization of multi-marginal optimal transport with pairwise cost functions	3
Adapting the centred simplex gradient to compensate for misaligned sample points	3
Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves	3
Tensorized block rational Krylov methods for tensor Sylvester equations	3
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity	3
A frame approach for equations involving the fractional Laplacian	3
Inf-sup stable discretization of the quasi-static Biot’s equations in poroelasticity	3
Least H 2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms	3
A Lagrange multiplier formulation for the fully dynamic Navier–Stokes–Biot system	3
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	3
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	3
A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain	3
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells	3

Perturbation estimates for order-one strong approximations of SDEs without globally monotone coefficients	3
Nonoverlapping spectral additive Schwarz methods for hybrid discontinuous Galerkin discretizations	3
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations	2
Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation	2
Asymptotic-preserving approximations for stochastic incompressible viscous fluids and SPDEs on graph	2
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	2
A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions	2
A projection scheme for an incompressible soft material poromechanics model	2
Complexity of sparse polynomial solving 2: renormalization	2
On the stability of discrete boundaries conditions for linear hyperbolic systems	2
High-order energy stable discrete variational derivative schemes for gradient flows	2
Underdetermined Fourier extensions for surface partial differential equations	2
An evolving surface finite element method for the Cahn–Hilliard equation with a logarithmic potential	2
Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model	2
Continuous interior penalty stabilization for divergence-free finite element methods	2
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	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
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems	2
An accelerated frequency-independent solver for oscillatory differential equations	2
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation	2
Barycentric rational interpolation of exponentially clustered poles	2
FEM-BEM coupling in fractional diffusion	2
Reflection coupling for unadjusted generalized Hamiltonian Monte Carlo in the nonconvex stochastic gradient case	2
Interpolation of set-valued functions	2
Smoothed circulant embedding with applications to multilevel Monte Carlo methods for PDEs with random coefficients	2
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension approach	2
Numerical analysis of lowest-order finite volume methods for a class of Stokes variational inequality problem	2
Convergence analysis for nonlinear GMRES	2
The error bounds of Gaussian quadratures for one rational modification of Chebyshev measures	2
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	2
Higher-order adaptive methods for exit times of Itô diffusions	2
Uniform L 1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	2
Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data	2
Multilevel quasi-interpolation	2
Stochastic theta methods for free stochastic differential equations	2
Skew-symmetric schemes for stochastic differential equations with non-Lipschitz drift: an unadjusted Barker algorithm	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
Diagonalization-based parallel-in-time preconditioners for instationary fluid flow control problems	2
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation	2
When can forward stable algorithms be composed stably?	2
Uniform block-diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes equations and the linear elasticity equations	2
The weighted and shifted seven-step BDF method for parabolic equations	2
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time	2
An exponential stochastic Runge–Kutta type method of order up to 1.5 for SPDEs of Nemytskii-type	1
On approximation classes for adaptive time-stepping finite element methods	1
Optimal convergence analysis of two RPC-SAV schemes for the unsteady incompressible magnetohydrodynamics equations	1
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM	1
Spatio-temporal Lie–Poisson discretization for incompressible magnetohydrodynamics on the sphere	1
Optimal L 2- error estimates of a locking free numerical method for a quasi-static linear poroelasticity	1
Adaptive approximations of inclusions in a semilinear elliptic problem related to cardiac electrophysiology	1
Randomized admissible block coordinate descent methods for computing extreme eigenpairs of symmetric matrices	1
Unconditionally stable small stencil enriched multiple point flux approximations of heterogeneous diffusion problems on general meshes	1
Post-processing and improved error estimates of numerical methods for evolutionary systems	1
Discrete hypocoercivity for a nonlinear kinetic reaction model	1
Error estimates of the fully discrete finite element method for thermally driven MHD problems including Joule heating	1
Numerical analysis of an evolving bulk–surface model of tumour growth	1
Convergence and error control of consistent PINNs for elliptic PDEs	1
Structure-preserving spectral methods on a triangle	1
AdaBatchGrad : combining adaptive batch size and adaptive step size	1
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn–Hilliard problem	1
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media	1
A hybrid high-order method for the Gross–Pitaevskii eigenvalue 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
C 0-hybrid high-order methods for biharmonic problems	1
Computing Klein-Gordon Spectra	1
Approximation of set-valued functions with images sets in ℝ d	1
On symmetric positive definite preconditioners for multiple saddle-point systems	1
On the necessity of the inf-sup condition for a mixed finite element formulation	1
A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller–Segel model	1
POD-ROM methods: error analysis for continuous parametrized approximations	1
Martingale product estimators for sensitivity analysis in computational statistical physics	1
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains	1
A semi-Lagrangian scheme for first-order mean field games based on monotone operators	1
On best p-norm approximation of discrete data by polynomials	1
Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling	1
Maximum norm a posteriori error estimates for convection–diffusion problems	1
Subspace embedding with random Khatri–Rao products and its application to eigensolvers	1
Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound	1
Linearly implicit energy-preserving integrating factor methods and convergence analysis for the 2D nonlinear Schrödinger equation with wave operator	1
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties	1
Convergence of a positivity-preserving DDFV scheme for compressible two-phase flow in porous media	1
A second-order accurate numerical scheme for a time-fractional Fokker–Planck equation	1
Robust solutions of nonlinear least squares problems via min-max optimization	1
Time-dependent electromagnetic scattering from dispersive materials	1
Unitarity of some barycentric rational approximants	1
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition	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
Error estimates of physics-informed neural networks for approximating Boltzmann equations	1
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results	1