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 2021-04-01 to 2025-04-01.)

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
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	21
A noncoforming virtual element approximation for the Oseen eigenvalue problem	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
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density	13
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
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
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
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
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	6
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 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
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 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
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
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
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
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
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
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
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