OOIR: Observatory of International Research

Papers

(The TQCC of IMA Journal of Numerical Analysis is 4. 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 2021-12-01 to 2025-12-01.)

Article	Citations
Two-scale methods for the normalized infinity Laplacian: rates of convergence	118
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	67
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi	35
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	24
A convergent stochastic scalar auxiliary variable method	24
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	23
Fast global spectral methods for three-dimensional partial differential equations	23
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	21
A nodally bound-preserving finite element method	19
Group sparse optimization for inpainting of random fields on the sphere	18
Error analysis of an implicit–explicit time discretization scheme for semilinear wave equations with application to multiscale problems	13
Numerical schemes for radial Dunkl processes	12
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	12
Finite volumes for the Stefan–Maxwell cross-diffusion system	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	12
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	11
Regularized black-box optimization algorithms for least-squares problems	11
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	11
Precise error bounds for numerical approximations of fractional HJB equations	10
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	10
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	10
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	10
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	10
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	10

Homogeneous multigrid for HDG applied to the Stokes equation	9
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	9
On the fast convergence of minibatch heavy ball momentum	9
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	9
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	9
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	9
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	9
Positive definite functions on a regular domain	8
Computation of Miura surfaces with gradient Dirichlet boundary conditions	8
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	8
Virtual element method for the Navier–Stokes equation coupled with the heat equation	8
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	8
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	8
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	8
The Milstein scheme for singular SDEs with Hölder continuous drift	8
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour	8
Efficient low rank matrix recovery with flexible group sparse regularization	8
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	8
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	7
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem	7
Mixed precision low-rank approximations and their application to block low-rank LU factorization	7
New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance and applications to the Stokes’ equations	7
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	7
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	7
Optimal rates of convergence and error localization of Gegenbauer projections	7
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem	7
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	6
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
Optimal convergence in finite element semidiscrete error analysis of the Doyle–Fuller–Newman model beyond one dimension with a novel projection operator	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
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme	6
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	6
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation	6
Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	6
The weak convergence order of two Euler-type discretization schemes for the log-Heston model	6
The random timestep Euler method and its continuous dynamics	6
Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D	5
Convergence rates under a range invariance condition with application to electrical impedance tomography	5
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing	5
A staggered mixed method for the biharmonic problem based on the first-order system	5
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	5
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations	5
A second-order Magnus-type integrator for evolution equations with delay	5
Numerical analysis of multiple scattering theory for electronic structure calculations	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
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	5
Limits and consistency of nonlocal and graph approximations to the Eikonal equation	5

Approximation in Hilbert spaces of the Gaussian and related analytic kernels	5
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures	5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
Mixed Virtual Element approximation of linear acoustic wave equation	5
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	5
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	5
Adaptive VEM for variable data: convergence and optimality	5
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	4
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy	4
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes	4
Estimates on the generalization error of physics-informed neural networks for approximating PDEs	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations	4
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	4
First-Order Perturbation Theory of Trust-Region Subproblem	4
Adaptive regularization minimization algorithms with nonsmooth norms	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
Approximation of SPDE covariance operators by finite elements: a semigroup approach	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
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem	4
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross–Pitaevskii equation with rotation	4
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds	4
A noncoforming virtual element approximation for the Oseen eigenvalue problem	4
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions	4
A higher order multiscale method for the wave equation	4
A bundle-trust method via gradient sampling technique for nonsmooth optimization using exact and inexact gradients	4