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 2021-03-01 to 2025-03-01.)

Article	Citations
hp-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	159
A fast algorithm for smooth convex minimization problems and its application to inverse source problems	54
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems	34
A priori and a posteriori error analysis of a mixed DG method for the three-field quasi-Newtonian Stokes flow	30
Group sparse optimization for inpainting of random fields on the sphere	20
A high-order fully discrete scheme for the Korteweg–de Vries equation with a time-stepping procedure of Runge–Kutta-composition type	18
Convergence of preconditioned Hamiltonian Monte Carlo on Hilbert spaces	18
A radiation box domain truncation scheme for the wave equation	16
Port-Hamiltonian discontinuous Galerkin finite element methods	16
Goal-oriented error estimation based on equilibrated flux reconstruction for the approximation of the harmonic formulations in eddy current problems	16
Uniform L1 error estimates for the semidiscrete finite element solutions of a parabolic integro-differential equation	15
Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems	14
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions	14
Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients	13
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs	13
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density	12
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision	12
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs	11
Numerical solution of anH(curl)-elliptic hemivariational inequality	11
Fast global spectral methods for three-dimensional partial differential equations	11
BDDC Algorithms for Oseen problems with HDG Discretizations	10
Linear schemes with several degrees of freedom for the transport equation and the long-time simulation accuracy	10
Gradient discretization of a 3D-2D-1D mixed-dimensional diffusive model with resolved interface, application to the drying of a fractured porous medium	9
Projection-free nonconvex stochastic optimization on Riemannian manifolds	9
On the minimum value of the condition number of polynomials	8

Error analysis for space discretizations of quasilinear wave-type equations	8
A convergent stochastic scalar auxiliary variable method	8
Robust multigrid methods for nearly incompressible elasticity using macro elements	8
Modeling Hessian-vector products in nonlinear optimization: new Hessian-free methods	8
CIP-stabilized virtual elements for diffusion-convection-reaction problems	8
Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data	8
Convergence rate of inertial forward–backward algorithms based on the local error bound condition	8
A nodally bound-preserving finite element method	7
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions	7
A class of preconditioners based on symmetric-triangular decomposition and matrix splitting for generalized saddle point problems	7
Error estimates for a linear folding model	7
Multilevel quasi-interpolation	7
A sub-sampled tensor method for nonconvex optimization	7
An analysis of the steepest descent method to efficiently compute the three-dimensional acoustic single-layer operator in the high-frequency regime	7
Solvability of discrete Helmholtz equations	7
hp-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes	7
Adaptive regularization minimization algorithms with nonsmooth norms	7
On the maximum bound principle and energy dissipation of exponential time differencing methods for the matrix-valued Allen–Cahn equation	6
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems	6
A second-order bulk–surface splitting for parabolic problems with dynamic boundary conditions	6
A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform	6
Adaptive interior penalty hybridized discontinuous Galerkin methods for Darcy flow in fractured porous media	6
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions	6
On symmetric positive definite preconditioners for multiple saddle-point systems	6
Smaller generalization error derived for a deep residual neural network compared with shallow networks	6
Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: regularity and error analysis	6
High order approximations of the Cox–Ingersoll–Ross process semigroup using random grids	6
Finite volumes for the Stefan–Maxwell cross-diffusion system	6
A matrix algebra approach to approximate Hessians	6
A symmetric low-regularity integrator for the nonlinear Schrödinger equation	6
Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis	6
A two-stage approximation strategy for piecewise smooth functions in two and three dimensions	5
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients	5
Convergence analysis for minimum action methods coupled with a finite difference method	5
Estimates on the generalization error of physics-informed neural networks for approximating PDEs	5
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation	5
Multiresolution analysis for stochastic hyperbolic conservation laws	5
An adaptive time stepping scheme for rate-independent systems with nonconvex energy	5
Error analysis for a finite element approximation of the steady p·-Navier–Stokes equations	5
Augmented saddle-point formulation of the steady-state Stefan–Maxwell diffusion problem	5
Gamma-convergent LDG method for large bending deformations of bilayer plates	5
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem	5
Convergence with rates for a Riccati-based discretization of SLQ problems with SPDEs	5
Two-scale methods for the normalized infinity Laplacian: rates of convergence	5
A unified framework for the error analysis of physics-informed neural networks	5
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells	5
Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem	5
Exact and inexact Douglas–Rachford splitting methods for solving large-scale sparse absolute value equations	4
A fully mixed virtual element method for Darcy–Forchheimer miscible displacement of incompressible fluids appearing in porous media	4
When can forward stable algorithms be composed stably?	4

Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints	4
Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions	4
A spectral collocation method for functional and delay differential equations	4
An augmented fully mixed formulation for the quasistatic Navier–Stokes–Biot model	4
Analysis of backward Euler projection FEM for the Landau–Lifshitz equation	4
Euler simulation of interacting particle systems and McKean–Vlasov SDEs with fully super-linear growth drifts in space and interaction	4
The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method	4
Solving nonlinear ODEs with the ultraspherical spectral method	4
Recursive moment computation in Filon methods and application to high-frequency wave scattering in two dimensions	4
Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H	4
A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery	4
The Gaussian wave packet transform via quadrature rules	4
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes	4
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint	4
Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions	4
A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients	4
A least-squares Galerkin approach to gradient and Hessian recovery for nondivergence-form elliptic equations	4
A discontinuous Galerkin coupling for nonlinear elasto-acoustics	3
On a time-discrete convolution—space collocation BEM for the numerical solution of two-dimensional wave propagation problems in unbounded domains	3
Randomized sparse grid algorithms for multivariate integration on Haar wavelet spaces	3
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds	3
Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation	3
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements	3
Transfer of conservative discrete differential operators between staggered grids: construction and duality relations	3
A self-adaptive theta scheme using discontinuity aware quadrature for solving conservation laws	3
Finite element analysis for a diffusion equation on a harmonically evolving domain	3
Stable gradient flow discretizations for simulating bilayer plate bending with isometry and obstacle constraints	3
A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation	3
Precise error bounds for numerical approximations of fractional HJB equations	3
Maximum norm error bounds for the full discretization of nonautonomous wave equations	3
Total velocity-based finite volume discretization of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure	3
FEM-BEM coupling in fractional diffusion	3
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions	3
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds	3
Low regularity exponential-type integrators for the “good” Boussinesq equation	3