OOIR: Observatory of International Research

Papers

(The TQCC of Mathematics of Computation 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 2021-09-01 to 2025-09-01.)

Article	Citations
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	76
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	45
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	31
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	26
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	25
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	22
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	22
Functional graphs of families of quadratic polynomials	22
Sampling-based methods for multi-block optimization problems over transport polytopes	21
Broken-FEEC discretizations and Hodge Laplace problems	19
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	17
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	17
Certified dimension reduction in nonlinear Bayesian inverse problems	16
Time discretizations of Wasserstein–Hamiltonian flows	16
An extended Galerkin analysis in finite element exterior calculus	15
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	15
Learning particle swarming models from data with Gaussian processes	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	13
Error estimates for a class of continuous Bonse-type inequalities	12
On bounds for Kummer’s function ratio	11
Hensel lifting algorithms for quadratic forms	11
Towards a classification of isolated ????-invariants	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	10
Superconvergence of time invariants for the Gross–Pitaevskii equation	10
Divisibility conditions on the order of the reductions of algebraic numbers	10

Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	10
Full discretization error analysis of exponential integrators for semilinear wave equations	10
Hybridization and postprocessing in finite element exterior calculus	9
Quadratic points on bielliptic modular curves	9
A census of cubic fourfolds over ????₂	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
The minimality of the Georges–Kelmans graph	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
On the computation of lattice sums without translational invariance	9
	8
A posteriori error analysis for approximations of time-fractional subdiffusion problems	8
Multiscale scattering in nonlinear Kerr-type media	8
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	8
The sharpness condition for constructing a finite element from a superspline	8
A log-log speedup for exponent one-fifth deterministic integer factorisation	8
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	8
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	8
Gradient descent for convex and smooth noisy optimization	7
Gonality of the modular curve ????₀(????)	7
On the computation of modular forms on noncongruence subgroups	7
Tropical tangents for complete intersection curves	7
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	7
QQMR: A structure preserving quaternion quasi-minimal residual method	7
	7
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	7
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	7
The Diophantine problem in Thompson’s group ????	7
An algorithmic approach to Rupert’s problem	7
Refined Selmer equations for the thrice-punctured line in depth two	7
Breaking the 4 barrier for the bound of a generating set of the class group	6
An approximation theory framework for measure-transport sampling algorithms	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	6
Shadow line distributions	6
The interior penalty virtual element method for the biharmonic problem	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
Salem numbers with minimal trace	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
Extensible grid sampling for quantile estimation	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	6
The reciprocal sums of pseudoprimes and Carmichael numbers	6
Mixed methods and lower eigenvalue bounds	5
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	5
Recovery of Sobolev functions restricted to iid sampling	5
	5

Enumeration of left braces with additive group ????₄×????₄×????₄	5
Minimization of hypersurfaces	5
Toric eigenvalue methods for solving sparse polynomial systems	5
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
Explicit Tamagawa numbers for certain algebraic tori over number fields	5
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
A Ramanujan integral and its derivatives: computation and analysis	5
Quinary forms and paramodular forms	5
On the existence of abelian surfaces with everywhere good reduction	5
	5
A randomized lattice rule without component-by-component construction	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
Expected decrease for derivative-free algorithms using random subspaces	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Minimization of differential equations and algebraic values of ????-functions	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
Computing equilibrium measures with power law kernels	4
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Finite element de Rham and Stokes complexes in three dimensions	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
The Adini finite element on locally refined meshes	4
Explicit Vologodsky integration for hyperelliptic curves	4
Convergence of the boundary integral method for interfacial Stokes flow	4
	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
Norm one Tori and Hasse norm principle	4
On invariable generation of alternating groups by elements of prime and prime power order	4
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	4
An explicit formula for the extended Gross-Keating datum of a quadratic form	4
Faster truncated integer multiplication	4
	4
A kit for linear forms in three logarithms	4