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 2022-06-01 to 2026-06-01.)

Article	Citations
Two-scale methods for the normalized infinity Laplacian: rates of convergence	88
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	28
A convergent stochastic scalar auxiliary variable method	24
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	22
Regularized black-box optimization algorithms for least-squares problems	18
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	16
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	15
Convergence and near-optimal sampling for multivariate function approximations in irregular domains via Vandermonde with Arnoldi	15
Group sparse optimization for inpainting of random fields on the sphere	15
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	15
Numerical schemes for radial Dunkl processes	14
On the approximation of singular functions by series of noninteger powers	14
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	14
Fast global spectral methods for three-dimensional partial differential equations	13
Low-cost second-order time-stepping methods for natural convection problem with variable density	13
Finite volumes for the Stefan–Maxwell cross-diffusion system	12
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	12
Error analysis of an implicit–explicit time discretization scheme for semilinear wave equations with application to multiscale problems	12
A nodally bound-preserving finite element method	12
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	11
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	11
Variational data assimilation with finite-element discretization for second-order parabolic interface equation	11
Discretization error analysis of a high-order unfitted space–time method for moving domain problems	11
Geometry error analysis of a parametric mapping for higher order unfitted space–time methods	11
Strong convergence of adaptive time-stepping schemes for the stochastic Allen–Cahn equation	11

Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	10
On the fast convergence of minibatch heavy ball momentum	10
Convergence of a finite volume scheme for compactly heterogeneous scalar conservation laws	10
Precise error bounds for numerical approximations of fractional HJB equations	10
Homogeneous multigrid for HDG applied to the Stokes equation	10
Inexact Newton regularizations with uniformly convex stability terms: a unified convergence analysis	9
A structure-preserving relaxation Crank–Nicolson finite element method for the Schrödinger–Poisson equation	9
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension	9
Positive definite functions on a regular domain	9
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	9
New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance and applications to the Stokes’ equations	9
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
The Milstein scheme for singular SDEs with Hölder continuous drift	8
A linearly implicit finite element full-discretization scheme for SPDEs with nonglobally Lipschitz coefficients	8
Virtual element method for the Navier–Stokes equation coupled with the heat equation	7
Nonselfadjoint impedance in Generalized Optimized Schwarz Methods	7
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints	7
On the stability and convergence of discontinuous Galerkin schemes for incompressible flows	7
Complexity guarantees for nonconvex Newton-MR under inexact Hessian information	7
Mixed precision low-rank approximations and their application to block low-rank LU factorization	7
The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems	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
The Landau–Lifshitz–Bloch equation on polytopal domains: unique existence and finite element approximation	7
Optimal rates of convergence and error localization of Gegenbauer projections	7
Convergent evolving finite element approximations of boundary evolution under shape gradient flow	6
Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	6
hp -discontinuous Galerkin method for the generalized Burgers–Huxley equation with weakly singular kernels	6
Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem	6
The weak convergence order of two Euler-type discretization schemes for the log-Heston model	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 discontinuous Galerkin method for the extracellular membrane intracellular model	6
On the rate of convergence of Yosida approximation for the nonlocal Cahn–Hilliard equation	6
Optimal convergence in finite element semidiscrete error analysis of the Doyle–Fuller–Newman model beyond one dimension with a novel projection operator	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
Computation of Miura surfaces with gradient Dirichlet boundary conditions	6
The random timestep Euler method and its continuous dynamics	6
Mixed Virtual Element approximation of linear acoustic wave equation	5
Numerical approximation of singular-degenerate parabolic stochastic partial differential equations	5
Convergence rates under a range invariance condition with application to electrical impedance tomography	5
Approximation in Hilbert spaces of the Gaussian and related analytic kernels	5
Monolithic and local time-stepping decoupled algorithms for transport problems in fractured porous media	5
A staggered mixed method for the biharmonic problem based on the first-order system	5
Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation	5
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme	5
A geometric integration approach to smooth optimization: foundations of the discrete gradient method	5
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain	5
A second-order Magnus-type integrator for evolution equations with delay	5

Numerical analysis of multiple scattering theory for electronic structure calculations	5
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	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
A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations	5
Numerical solution to the PML problem of the biharmonic wave scattering in periodic structures	5
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation	4
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	4
The One Step Malliavin scheme: new discretization of BSDEs implemented with deep learning regressions	4
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations	4
A hybrid polynomial spectral collocation method for weakly singular Volterra integral equations with variable exponent	4
Well-posedness of first-order acoustic wave equations and space-time finite element approximation	4
Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems	4
A bundle-trust method via gradient sampling technique for nonsmooth optimization using exact and inexact gradients	4
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	4
Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing	4
On feedback stabilization for the Cahn–Hilliard equation and its numerical approximation	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
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	4
On the discrete normalized gradient flow for computing ground states of rotating Bose–Einstein condensates: energy dissipation and global convergence	4
First-Order Perturbation Theory of Trust-Region Subproblem	4
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	4
A space-time finite element method for parabolic obstacle problems	4
A higher order multiscale method for the wave equation	4
Adaptive VEM for variable data: convergence and optimality	4
Erratum to ‘Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation’	4
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations	4
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	4
Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy	4
A unified global-in-time energy stability analysis of ETDRK schemes for the Cahn–Hilliard–Ohta–Kawasaki equation	4
Multiresolution analysis for stochastic hyperbolic conservation laws	4
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
Smaller generalization error derived for a deep residual neural network compared with shallow networks	4
An efficient discretization to simulate the solution of linear–quadratic stochastic boundary control problem	4
Maximum norm error bounds for the full discretization of nonautonomous wave equations	4
A mini immersed finite element method for two-phase Stokes problems on Cartesian meshes	4
Legendre spectral method and error estimates for Helmholtz transmission eigenvalues in a cylinder	4
Limits and consistency of nonlocal and graph approximations to the Eikonal equation	4
Quadrature formulas from rational approximations	4
Regularity analysis for SEEs with multiplicative fBms and strong convergence for a fully discrete scheme	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