IMA Journal of Numerical Analysis

Article	Citations
A convergent stochastic scalar auxiliary variable method	96
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	30
Regularized black-box optimization algorithms for least-squares problems	28
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	20
Group sparse optimization for inpainting of random fields on the sphere	17
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	16
Numerical schemes for radial Dunkl processes	16
On the approximation of singular functions by series of noninteger powers	16
Two-scale methods for the normalized infinity Laplacian: rates of convergence	15
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	15
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	15
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	15
Error analysis of an implicit–explicit time discretization scheme for semilinear wave equations with application to multiscale problems	15
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	15
A nodally bound-preserving finite element method	14
Convergence and long-time behavior of finite volumes for a generalized Poisson–Nernst–Planck system with cross-diffusion and size exclusion	14
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	14
Finite volumes for the Stefan–Maxwell cross-diffusion system	14
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	13
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi	13
Low-cost second-order time-stepping methods for natural convection problem with variable density	13
Discretization error analysis of a high-order unfitted space–time method for moving domain problems	12
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	12
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	12
Homogeneous multigrid for HDG applied to the Stokes equation	11

Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	11
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	11
A new family of a posteriori error estimates for nonconforming finite-element methods leading to stabilization-free error bounds	10
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	10
Inexact Newton regularizations with uniformly convex stability terms: a unified convergence analysis	10
On the fast convergence of minibatch heavy ball momentum	10
Convergence of a finite volume scheme for compactly heterogeneous scalar conservation laws	10
Convergence of the nonstaggered Nessyahu–Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws	9
Smoothing ℓ1-exact penalty method for intrinsically constrained Riemannian optimization problems	9
Precise error bounds for numerical approximations of fractional HJB equations	9
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	9
Convergence analysis for a tree-based nonlinear reduced basis method	9
Strong convergence of finite element schemes for the stochastic Landau–Lifshitz–Bloch equation	9
On discrete Sobolev inequalities for nonconforming finite elements under a semiregular mesh condition	8
A structure-preserving relaxation Crank–Nicolson finite element method for the Schrödinger–Poisson equation	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
Positive definite functions on a regular domain	8
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	8
Mixed precision low-rank approximations and their application to block low-rank LU factorization	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
hp -discontinuous Galerkin method for the generalized Burgers–Huxley equation with weakly singular kernels	7
A discontinuous Galerkin method for the extracellular membrane intracellular model	7
Optimal rates of convergence and error localization of Gegenbauer projections	7
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	7
Efficient low rank matrix recovery with flexible group sparse regularization	7
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	7
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	7
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	7
The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems	7
Computation of Miura surfaces with gradient Dirichlet boundary conditions	7
Optimal convergence in finite element semidiscrete error analysis of the Doyle–Fuller–Newman model beyond one dimension with a novel projection operator	6
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme	6
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	6
The Landau–Lifshitz–Bloch equation on polytopal domains: unique existence and finite element approximation	6
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem	6
The random timestep Euler method and its continuous dynamics	6
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	6
The weak convergence order of two Euler-type discretization schemes for the log-Heston model	6
The Milstein scheme for singular SDEs with Hölder continuous drift	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 high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	6
Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	6
Virtual element method for the Navier–Stokes equation coupled with the heat equation	6
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem	5
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	5

Approximation in Hilbert spaces of the Gaussian and related analytic kernels	5
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	5
A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations	5
Numerical analysis of multiple scattering theory for electronic structure calculations	5
A second-order Magnus-type integrator for evolution equations with delay	5
A staggered mixed method for the biharmonic problem based on the first-order system	5
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	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
Quadrature formulas from rational approximations	5
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures	5
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	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
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	5
On feedback stabilization for the Cahn–Hilliard equation and its numerical approximation	5
Mixed Virtual Element approximation of linear acoustic wave equation	5
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	5
Convergence rates under a range invariance condition with application to electrical impedance tomography	5
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations	4
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation	4
First-Order Perturbation Theory of Trust-Region Subproblem	4
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
Adaptive VEM for variable data: convergence and optimality	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	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
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	4
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	4
A unified global-in-time energy stability analysis of ETDRK schemes for the Cahn–Hilliard–Ohta–Kawasaki equation	4
On the discrete normalized gradient flow for computing ground states of rotating Bose–Einstein condensates: energy dissipation and global convergence	4
Limits and consistency of nonlocal and graph approximations to the Eikonal equation	4
A space-time finite element method for parabolic obstacle problems	4
A higher order multiscale method for the wave equation	4
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
A hybrid polynomial spectral collocation method for weakly singular Volterra integral equations with variable exponent	4
On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
A noncoforming virtual element approximation for the Oseen eigenvalue problem	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
A bundle-trust method via gradient sampling technique for nonsmooth optimization using exact and inexact gradients	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data	3
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	3
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	3
Approximating the generalized singular value expansion: error estimates	3
Multilevel quasi-interpolation	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
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	3
Cauchy data for Levin’s method	3
A Lagrange multiplier-based method for Stokes–generalized poroelasticity interface problems	3
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	3
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	3
Maximum bound principle and original energy dissipation of arbitrarily high-order ETD Runge–Kutta schemes for Allen–Cahn equations	3
Inf-sup stable discretization of the quasi-static Biot’s equations in poroelasticity	3
Asymptotic-preserving approximations for stochastic incompressible viscous fluids and SPDEs on graph	3
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem	3
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	3
Robust augmented energy a posteriori estimates for Lipschitz and strongly monotone elliptic problems	3
Adapting the centred simplex gradient to compensate for misaligned sample points	3
Tensorized block rational Krylov methods for tensor Sylvester equations	3
Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves	3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime	3
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity	3
A Lagrange multiplier formulation for the fully dynamic Navier–Stokes–Biot system	3
Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighbourhoods	3
Infinite-order accuracy limit of finite difference formulas in the complex plane	3
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	3
Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy	3
On projection mappings and the gradient projection method on hyperbolic space forms	3
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization	3
An accelerated frequency-independent solver for oscillatory differential equations	3
An ODE characterization of multi-marginal optimal transport with pairwise cost functions	3
Finite volume methods for the computation of statistical solutions of the incompressible Euler equations	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
Randomized iterated Tikhonov regularization for linear ill-posed problems in Hilbert spaces	3
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves	3
A frame approach for equations involving the fractional Laplacian	3
Discrete anisotropic curve shortening flow in higher codimension	3
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem	3
Least H 2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms	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
Mean square temporal error estimates for the two-dimensional stochastic Navier–Stokes equations with transport noise	3
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation	2
On the convergence of Fourier spectral methods involving noncompact operators	2
Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model	2
The weighted and shifted seven-step BDF method for parabolic equations	2
High-order energy stable discrete variational derivative schemes for gradient flows	2
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties	2
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM	2
A projection scheme for an incompressible soft material poromechanics model	2
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation	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 lowest-order finite volume methods for a class of Stokes variational inequality problem	2
Higher-order adaptive methods for exit times of Itô diffusions	2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations	2
L 2 norm error estimates of BDF methods up to fifth-order for the phase field crystal model	2
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems	2
The error bounds of Gaussian quadratures for one rational modification of Chebyshev measures	2
Complex generalized Gauss–Radau quadrature rules for Hankel transforms of integer order	2
Diagonalization-based parallel-in-time preconditioners for instationary fluid flow control problems	2
Underdetermined Fourier extensions for surface partial differential equations	2
Approximation of set-valued functions with images sets in ℝ d	2
Smoothed circulant embedding with applications to multilevel Monte Carlo methods for PDEs with random coefficients	2
When can forward stable algorithms be composed stably?	2
Stable localized orthogonal decomposition in Raviart–Thomas spaces	2
Stochastic theta methods for free stochastic differential equations	2
A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions	2
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	2
An evolving surface finite element method for the Cahn–Hilliard equation with a logarithmic potential	2
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells	2
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension approach	2
Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation	2
Continuous interior penalty stabilization for divergence-free finite element methods	2
Convergence analysis for nonlinear GMRES	2
Interpolation of set-valued functions	2
Adaptive boundary element methods for regularized combined field integral equations	2
Optimal L 2- error estimates of a locking free numerical method for a quasi-static linear poroelasticity	2
Skew-symmetric schemes for stochastic differential equations with non-Lipschitz drift: an unadjusted Barker algorithm	2
On the stability of discrete boundaries conditions for linear hyperbolic systems	2
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	2
Complexity of sparse polynomial solving 2: renormalization	2
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	2
Uniform L 1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	2
FEM-BEM coupling in fractional diffusion	2
Barycentric rational interpolation of exponentially clustered poles	2
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs	2
AdaBatchGrad : combining adaptive batch size and adaptive step size	1
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media	1
Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound	1
Parametric finite-element discretization of the surface Stokes equations: inf-sup stability and discretization error analysis	1
Optimal convergence analysis of two RPC-SAV schemes for the unsteady incompressible magnetohydrodynamics equations	1
Numerical method and error estimate for stochastic Landau–Lifshitz–Bloch equation	1
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results	1
Error estimates of high-order compact finite difference schemes for the nonlinear abcd s systems	1
A certified wavelet-based physics-informed neural network for the solution of parameterized partial differential equations	1
Error analysis for a finite element approximation of the steady p·-Navier–Stokes equations	1
Compressive Fourier collocation methods for high-dimensional diffusion equations with periodic boundary conditions	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
An exponential stochastic Runge–Kutta type method of order up to 1.5 for SPDEs of Nemytskii-type	1
Maximum norm a posteriori error estimates for convection–diffusion problems	1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling	1
A second-order accurate, positivity-preserving numerical scheme for the Poisson–Nernst–Planck–Navier–Stokes system	1
Computing Klein-Gordon Spectra	1
The parametric complexity of operator learning	1
Convergence and error control of consistent PINNs for elliptic PDEs	1
Projection methods in the context of nematic crystal flow	1
Multilevel representations of isotropic Gaussian random fields on the sphere	1
A monotone piecewise constant control integration approach for the two-factor uncertain volatility model	1
CIP-stabilized virtual elements for diffusion-convection-reaction problems	1
Scaled zonal kernel quasi-interpolation on spheres	1
A posteriori error analysis of space-time discontinuous Galerkin methods for the ε-stochastic Allen–Cahn equation	1
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	1
Linearly implicit energy-preserving integrating factor methods and convergence analysis for the 2D nonlinear Schrödinger equation with wave operator	1
Subspace embedding with random Khatri–Rao products and its application to eigensolvers	1
A hybrid high-order method for the Gross–Pitaevskii eigenvalue problem	1
Optimal error estimates of mixed finite element methods for SPDEs with gradient-dependent multiplicative noise	1
On approximation classes for adaptive time-stepping finite element methods	1
Low regularity error estimates for the time integration of 2D NLS	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
A coupled steady thermo-electromagnetic problem in axisymmetric geometries. Mathematical and numerical analysis	1
Superconvergence analysis for patch-recovered finite element approximations of topological derivatives	1
Semi-discrete heat equations with variable coefficients and the parametrix method	1
Gamma-convergent LDG method for large bending deformations of bilayer plates	1
A modular framework for the backward error analysis of GMRES	1
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition	1
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn–Hilliard problem	1