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 2021-05-01 to 2025-05-01.)

Article	Citations
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	187
Two-scale methods for the normalized infinity Laplacian: rates of convergence	75
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	47
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	34
Fast global spectral methods for three-dimensional partial differential equations	24
A convergent stochastic scalar auxiliary variable method	23
On the minimum value of the condition number of polynomials	22
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	21
Finite volumes for the Stefan–Maxwell cross-diffusion system	19
Numerical schemes for radial Dunkl processes	19
Group sparse optimization for inpainting of random fields on the sphere	18
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	17
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	15
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	15
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	15
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	14
On the approximation of singular functions by series of noninteger powers	14
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	13
A nodally bound-preserving finite element method	13
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	12
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	11
Precise error bounds for numerical approximations of fractional HJB equations	11
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	11
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	10
Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media	10

Stability analysis of general multistep methods for Markovian backward stochastic differential equations	10
On the fast convergence of minibatch heavy ball momentum	10
The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method	9
Homogeneous multigrid for HDG applied to the Stokes equation	9
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	9
Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions	9
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	9
Virtual element method for the Navier–Stokes equation coupled with the heat equation	8
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	8
Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework	8
Positive definite functions on a regular domain	8
Optimal rates of convergence and error localization of Gegenbauer projections	8
Mixed precision low-rank approximations and their application to block low-rank LU factorization	8
The Milstein scheme for singular SDEs with Hölder continuous drift	7
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	7
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	7
A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour	7
On the rate of convergence of a numerical scheme for Fractional conservation laws with noise	7
A locking-free P0 finite element method for linear elasticity equations on polytopal partitions	7
Finite-volume approximation of the invariant measure of a viscous stochastic scalar conservation law	7
Analysis of a Galerkin finite element method for the Maxwell–Schrödinger system under temporal gauge	7
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	6
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems	6
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	6
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem	6
The weak convergence order of two Euler-type discretization schemes for the log-Heston model	6
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces	6
Analysis of an electroless plating problem	6
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	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
A new step size selection strategy for the superiorization methodology using subgradient vectors and its application for solving convex constrained optimization problems	6
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations	6
Efficient low rank matrix recovery with flexible group sparse regularization	6
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier–Stokes equations as a paradigm	6
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	6
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	6
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing	5
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	5
The transport of images method: computing all zeros of harmonic mappings by continuation	5
A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations	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
Convergence rates under a range invariance condition with application to electrical impedance tomography	5
A staggered mixed method for the biharmonic problem based on the first-order system	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
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	5
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	5
Numerical analysis of multiple scattering theory for electronic structure calculations	5

Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	5
Mixed Virtual Element approximation of linear acoustic wave equation	5
A second-order Magnus-type integrator for evolution equations with delay	5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
Fast mass lumped multiscale wave propagation modelling	5
Strong error estimates for a space-time discretization of the linear-quadratic control problem with the stochastic heat equation with linear noise	5
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations	4
Approximation of SPDE covariance operators by finite elements: a semigroup approach	4
Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	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
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	4
A higher order multiscale method for the wave equation	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	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
First-Order Perturbation Theory of Trust-Region Subproblem	4
Adaptive regularization minimization algorithms with nonsmooth norms	4
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	4
Adaptive VEM for variable data: convergence and optimality	4
Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
Error analysis for space discretizations of quasilinear wave-type equations	4
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
Estimates on the generalization error of physics-informed neural networks for approximating PDEs	4