OOIR: Observatory of International Research

Papers

(The TQCC of IMA Journal of Numerical Analysis is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-09-01 to 2025-09-01.)

Article	Citations
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	93
Two-scale methods for the normalized infinity Laplacian: rates of convergence	55
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	28
Fast global spectral methods for three-dimensional partial differential equations	23
Finite volumes for the Stefan–Maxwell cross-diffusion system	21
On the minimum value of the condition number of polynomials	21
Group sparse optimization for inpainting of random fields on the sphere	18
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	17
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	17
A nodally bound-preserving finite element method	16
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	15
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	12
Numerical schemes for radial Dunkl processes	12
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	11
A convergent stochastic scalar auxiliary variable method	11
Low-cost second-order time-stepping methods for natural convection problem with variable density	11
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi	11
On the approximation of singular functions by series of noninteger powers	11
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	11
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	10
Homogeneous multigrid for HDG applied to the Stokes equation	10
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	10
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	10
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	9
On the fast convergence of minibatch heavy ball momentum	9

Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media	9
Precise error bounds for numerical approximations of fractional HJB equations	9
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	9
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	8
Computation of Miura surfaces with gradient Dirichlet boundary conditions	8
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	8
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	8
The Milstein scheme for singular SDEs with Hölder continuous drift	8
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	8
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	8
Efficient low rank matrix recovery with flexible group sparse regularization	8
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	7
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	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
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour	7
Mixed precision low-rank approximations and their application to block low-rank LU factorization	7
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	7
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	7
Analysis of a Galerkin finite element method for the Maxwell–Schrödinger system under temporal gauge	7
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	7
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	7
Positive definite functions on a regular domain	6
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	6
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	6
The weak convergence order of two Euler-type discretization schemes for the log-Heston model	6
Analysis of an electroless plating problem	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
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	6
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem	6
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation	6
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	6
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
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
Fast mass lumped multiscale wave propagation modelling	5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
Numerical analysis of multiple scattering theory for electronic structure calculations	5
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme	5
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations	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
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	5
Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D	5
Optimal convergence in finite element semidiscrete error analysis of the Doyle–Fuller–Newman model beyond one dimension with a novel projection operator	5
Strong error estimates for a space-time discretization of the linear-quadratic control problem with the stochastic heat equation with linear noise	5
Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5

Mixed Virtual Element approximation of linear acoustic wave equation	5
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
Adaptive regularization minimization algorithms with nonsmooth norms	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
Estimates on the generalization error of physics-informed neural networks for approximating PDEs	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
Convergence rates under a range invariance condition with application to electrical impedance tomography	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
Adaptive VEM for variable data: convergence and optimality	4
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	4
Error analysis for space discretizations of quasilinear wave-type equations	4
Approximation in Hilbert spaces of the Gaussian and related analytic kernels	4
Limits and consistency of nonlocal and graph approximations to the Eikonal equation	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	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
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing	4
A higher order multiscale method for the wave equation	4
Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions	3
Convergence, error analysis and longtime behavior of the scalar auxiliary variable method for the nonlinear Schrödinger equation	3
Tensorized block rational Krylov methods for tensor Sylvester equations	3
Correction to: An asymptotic-preserving discretization scheme for gas transport in pipe networks	3
Cauchy data for Levin’s method	3
Simultaneous diagonalization of nearly commuting Hermitian matrices: do-one-then-do-the-other	3
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes	3
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space	3
Mean square temporal error estimates for the two-dimensional stochastic Navier–Stokes equations with transport noise	3
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem	3
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs	3
Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity	3
Discrete anisotropic curve shortening flow in higher codimension	3
Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule	3
Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions	3
Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime	3
Finite element approximation of Hamilton–Jacobi–Bellman equations with nonlinear mixed boundary conditions	3
A local energy-based discontinuous Galerkin method for fourth-order semilinear wave equations	3
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds	3
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	3
Infinite-order accuracy limit of finite difference formulas in the complex plane	3
Least H2 norm updating of quadratic interpolation models for derivative-free trust-region algorithms	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
Fully discrete best-approximation-type estimates inL∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations	3
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves	3
Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits	3
A sequential optimality condition for Mathematical Programs with equilibrium constraints based on a nonsmooth formulation	3
Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements	3
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	3
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	3
First-Order Perturbation Theory of Trust-Region Subproblem	3
Quartic Lp-convergence of cubic Riemannian splines	3
Maximum bound principle and original energy dissipation of arbitrarily high-order ETD Runge–Kutta schemes for Allen–Cahn equations	3
A pressure-robust HHO method for the solution of the incompressible Navier–Stokes equations on general meshes	3
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization	3