IMA Journal of Numerical Analysis

Article	Citations
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	183
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	70
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	44
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	33
Group sparse optimization for inpainting of random fields on the sphere	22
A noncoforming virtual element approximation for the Oseen eigenvalue problem	21
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	21
Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods	19
Linear schemes with several degrees of freedom for the transport equation and the long-time simulation accuracy	18
A radiation box domain truncation scheme for the wave equation	16
A high-order fully discrete scheme for the Korteweg–de Vries equation with a time-stepping procedure of Runge–Kutta-composition type	16
Goal-oriented error estimation based on equilibrated flux reconstruction for the approximation of the harmonic formulations in eddy current problems	15
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	14
Uniform L1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	14
Fast global spectral methods for three-dimensional partial differential equations	13
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision	13
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density	13
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs	12
Gradient discretization of a 3D-2D-1D mixed-dimensional diffusive model with resolved interface, application to the drying of a fractured porous medium	11
BDDC Algorithms for Oseen problems with HDG Discretizations	11
Robust multigrid methods for nearly incompressible elasticity using macro elements	11
Modeling Hessian-vector products in nonlinear optimization: new Hessian-free methods	9
Convergence rate of inertial forward–backward algorithms based on the local error bound condition	9
Error analysis for space discretizations of quasilinear wave-type equations	9
CIP-stabilized virtual elements for diffusion-convection-reaction problems	9

Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data	9
A convergent stochastic scalar auxiliary variable method	9
Adaptive regularization minimization algorithms with nonsmooth norms	8
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	8
A sub-sampled tensor method for nonconvex optimization	8
An analysis of the steepest descent method to efficiently compute the three-dimensional acoustic single-layer operator in the high-frequency regime	8
A class of preconditioners based on symmetric-triangular decomposition and matrix splitting for generalized saddle point problems	8
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions	8
A second-order bulk–surface splitting for parabolic problems with dynamic boundary conditions	7
Error estimates for a linear folding model	7
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems	7
A matrix algebra approach to approximate Hessians	7
On symmetric positive definite preconditioners for multiple saddle-point systems	7
The Gaussian wave packet transform via quadrature rules	7
Finite volumes for the Stefan–Maxwell cross-diffusion system	7
Adaptive interior penalty hybridized discontinuous Galerkin methods for Darcy flow in fractured porous media	7
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells	7
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	7
High order approximations of the Cox–Ingersoll–Ross process semigroup using random grids	7
Gamma-convergent LDG method for large bending deformations of bilayer plates	6
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	6
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients	6
Augmented saddle-point formulation of the steady-state Stefan–Maxwell diffusion problem	6
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	6
Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	6
Multiresolution analysis for stochastic hyperbolic conservation laws	6
Smaller generalization error derived for a deep residual neural network compared with shallow networks	6
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	6
A unified framework for the error analysis of physics-informed neural networks	6
A two-stage approximation strategy for piecewise smooth functions in two and three dimensions	6
Two-scale methods for the normalized infinity Laplacian: rates of convergence	6
Convergence analysis for minimum action methods coupled with a finite difference method	6
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	6
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	5
On the minimum value of the condition number of polynomials	5
Port-Hamiltonian discontinuous Galerkin finite element methods	5
A spectral collocation method for functional and delay differential equations	5
Solvability of discrete Helmholtz equations	5
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem	5
Solving nonlinear ODEs with the ultraspherical spectral method	5
On the maximum bound principle and energy dissipation of exponential time differencing methods for the matrix-valued Allen–Cahn equation	5
Error analysis for a finite element approximation of the steady p·-Navier–Stokes equations	5
Estimates on the generalization error of physics-informed neural networks for approximating PDEs	5
A fully mixed virtual element method for Darcy–Forchheimer miscible displacement of incompressible fluids appearing in porous media	5
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	5
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	5
Numerical solution of anH(curl)-elliptic hemivariational inequality	5
Projection-free nonconvex stochastic optimization on Riemannian manifolds	5
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs	5
Numerical schemes for radial Dunkl processes	5

A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients	5
Multilevel quasi-interpolation	5
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	5
A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery	5
Recursive moment computation in Filon methods and application to high-frequency wave scattering in two dimensions	4
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition	4
Well-posedness and error estimates for coupled systems of nonlocal conservation laws	4
Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems	4
A least-squares Galerkin approach to gradient and Hessian recovery for nondivergence-form elliptic equations	4
Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions	4
Randomized sparse grid algorithms for multivariate integration on Haar wavelet spaces	4
Exact and inexact Douglas–Rachford splitting methods for solving large-scale sparse absolute value equations	4
Unconditionally stable small stencil enriched multiple point flux approximations of heterogeneous diffusion problems on general meshes	4
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	4
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
FEM-BEM coupling in fractional diffusion	4
A-posteriori error estimates for systems of hyperbolic conservation laws via computing negative norms of local residuals	4
A nodally bound-preserving finite element method	4
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	4
Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions	4
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	4
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	4
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains	4
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	3
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	3
Maximum norm error bounds for the full discretization of nonautonomous wave equations	3
A self-adaptive theta scheme using discontinuity aware quadrature for solving conservation laws	3
Low regularity exponential-type integrators for the “good” Boussinesq equation	3
Total velocity-based finite volume discretization of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure	3
Higher-order adaptive methods for exit times of Itô diffusions	3
On best p-norm approximation of discrete data by polynomials	3
Transfer of conservative discrete differential operators between staggered grids: construction and duality relations	3
Stable gradient flow discretizations for simulating bilayer plate bending with isometry and obstacle constraints	3
Precise error bounds for numerical approximations of fractional HJB equations	3
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	3
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	3
The Scharfetter–Gummel scheme for aggregation–diffusion equations	3
Post-processing and improved error estimates of numerical methods for evolutionary systems	3
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	3
Time-dependent electromagnetic scattering from dispersive materials	3
A discontinuous Galerkin coupling for nonlinear elasto-acoustics	3
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions	3
Homogeneous multigrid for HDG applied to the Stokes equation	3
Finite element analysis for a diffusion equation on a harmonically evolving domain	2
Optimal convergence of arbitrary Lagrangian–Eulerian iso-parametric finite element methods for parabolic equations in an evolving domain	2
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	2
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	2
Quartic Lp-convergence of cubic Riemannian splines	2
Nonsmooth data error estimates of the L1 scheme for subdiffusion equations with positive-type memory term	2
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: efficient algorithms and numerical results	2
Continuous finite elements satisfying a strong discrete Miranda–Talenti identity	2
A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation	2
Stability analysis of general multistep methods for Markovian backward stochastic differential equations	2
On the necessity of the inf-sup condition for a mixed finite element formulation	2
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds	2
Efficient low rank matrix recovery with flexible group sparse regularization	2
Convergence, error analysis and longtime behavior of the scalar auxiliary variable method for the nonlinear Schrödinger equation	2
Non-asymptotic estimates for TUSLA algorithm for non-convex learning with applications to neural networks with ReLU activation function	2
Ana posteriorierror estimator for isogeometric analysis on trimmed geometries	2
Complex generalized Gauss–Radau quadrature rules for Hankel transforms of integer order	2
Complexity of sparse polynomial solving 2: renormalization	2
The time-fractional Cahn–Hilliard equation: analysis and approximation	2
Correction to: Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	2
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes	2
A constraint dissolving approach for nonsmooth optimization over the Stiefel manifold	2
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	2
On the fast convergence of minibatch heavy ball momentum	2
Nodal discrete duality numerical scheme for nonlinear diffusion problems on general meshes	2
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space	2
Necessary and sufficient conditions for avoiding Babuška’s paradox on simplicial meshes	2
Homogeneous multigrid for HDG	2
Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering	2
Optimal error analysis of the normalized tangent plane FEM for Landau–Lifshitz–Gilbert equation	2
Analysis of backward Euler projection FEM for the Landau–Lifshitz equation	2
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	2
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	2
Energy stable semi-implicit schemes for the 2D Allen–Cahn and fractional Cahn–Hilliard equations	2
Convergence and error estimates of a penalization finite volume method for the compressible Navier–Stokes system	2
The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method	2
Maximum norm a posteriori error estimates for convection–diffusion problems	2

Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	2
A consistent quasi–second-order staggered scheme for the two-dimensional shallow water equations	2
First-Order Perturbation Theory of Trust-Region Subproblem	2
Darcy’s problem coupled with the heat equation under singular forcing: analysis and discretization	2
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	2
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations	2
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	2
Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media	2
Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements	2
An HDG method for dissimilar meshes	2
Spurious solutions for high-order curl problems	2
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation	2
Analysis of a Galerkin finite element method for the Maxwell–Schrödinger system under temporal gauge	2
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	2
Improved structural methods for nonlinear differential-algebraic equations via combinatorial relaxation	2
When can forward stable algorithms be composed stably?	2
Strictly positive definite kernels on the 2-sphere: from radial symmetry to eigenvalue block structure	2
Error estimate of a decoupled numerical scheme for the Cahn–Hilliard–Stokes–Darcy system	1
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling	1
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	1
Finite-volume approximation of the invariant measure of a viscous stochastic scalar conservation law	1
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	1
A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions	1
Positive definite functions on a regular domain	1
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	1
Mixed precision low-rank approximations and their application to block low-rank LU factorization	1
Infinite-order accuracy limit of finite difference formulas in the complex plane	1
Stability of convergence rates: kernel interpolation on non-Lipschitz domains	1
Robust error bounds for the Navier–Stokes equations using implicit-explicit second-order BDF method with variable steps	1
Stability and convergence analysis of high-order numerical schemes with DtN-type absorbing boundary conditions for nonlocal wave equations	1
Finite difference schemes for a size structured coagulation-fragmentation model in the space of Radon measures	1
Eigenvalue bounds for double saddle-point systems	1
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn–Hilliard problem	1
Random points are optimal for the approximation of Sobolev functions	1
Derivative-free high-order uniformly accurate schemes for highly oscillatory systems	1
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension approach	1
Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions	1
Numerical analysis of the LDG method for large deformations of prestrained plates	1
A unified approach to maximum-norm a posteriori error estimation for second-order time discretizations of parabolic equations	1
The weighted and shifted seven-step BDF method for parabolic equations	1
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour	1
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation	1
Full operator preconditioning and the accuracy of solving linear systems	1
Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM	1
MultiShape: a spectral element method, with applications to Dynamic Density Functional Theory and PDE-constrained optimization	1
Stabilization parameter analysis of a second-order linear numerical scheme for the nonlocal Cahn–Hilliard equation	1
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	1
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	1
H 1-stability of the L2-projection onto finite element spaces on adaptively refined quadrilateral meshes	1
An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures	1
Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn–Hilliard model	1
A locking-free P0 finite element method for linear elasticity equations on polytopal partitions	1
Uniform block-diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes equations and the linear elasticity equations	1
Least H2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms	1
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	1
Optimal rates of convergence and error localization of Gegenbauer projections	1
On the convergence of Fourier spectral methods involving noncompact operators	1
Continuous interior penalty stabilization for divergence-free finite element methods	1
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	1
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	1
Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound	1
Yet another fast variant of Newton’s method for nonconvex optimization	1
Analysis of an electroless plating problem	1
Virtual element method for the Navier–Stokes equation coupled with the heat equation	1
A convergent finite element algorithm for generalized mean curvature flows of closed surfaces	1
Convergence analysis of a numerical scheme for a tumour growth model	1
Lower bounds, elliptic reconstruction and a posteriori error control of parabolic problems	1
A sequential optimality condition for Mathematical Programs with equilibrium constraints based on a nonsmooth formulation	1
An exponential stochastic Runge–Kutta type method of order up to 1.5 for SPDEs of Nemytskii-type	1
Discrete maximum-minimum principle for a linearly implicit scheme for nonlinear parabolic FEM problems under weakened time restrictions	1
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	1
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	1
Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other	1
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media	1
A priori and a posteriori error estimates for a virtual element method for the non-self-adjoint Steklov eigenvalue problem	1
On the rate of convergence of the Gaver–Stehfest algorithm	1
Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework	1
On convergence of numerical solutions for the compressible MHD system with weakly divergence-free magnetic field	1
Pyramid transform of manifold data via subdivision operators	1
The Milstein scheme for singular SDEs with Hölder continuous drift	1
A general collocation analysis for weakly singular Volterra integral equations with variable exponent	1
Discontinuous Galerkin discretization of coupled poroelasticity–elasticity problems	1
Linearly implicit energy-preserving integrating factor methods and convergence analysis for the 2D nonlinear Schrödinger equation with wave operator	1
High-order energy stable discrete variational derivative schemes for gradient flows	1
Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem	1
An unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn–Hilliard equation on generalized SAV approach	1