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 2021-11-01 to 2025-11-01.)

Article	Citations
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	50
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	33
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	30
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	26
Functional graphs of families of quadratic polynomials	25
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	23
Sampling-based methods for multi-block optimization problems over transport polytopes	22
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	19
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	19
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	18
Broken-FEEC discretizations and Hodge Laplace problems	18
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	15
Error estimates for a class of continuous Bonse-type inequalities	14
An extended Galerkin analysis in finite element exterior calculus	13
Towards a classification of isolated ????-invariants	13
On bounds for Kummer’s function ratio	12
Hensel lifting algorithms for quadratic forms	11
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	11
Learning particle swarming models from data with Gaussian processes	11
A census of cubic fourfolds over ????₂	10
Full discretization error analysis of exponential integrators for semilinear wave equations	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

The minimality of the Georges–Kelmans graph	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
A posteriori error analysis for approximations of time-fractional subdiffusion problems	9
On the computation of lattice sums without translational invariance	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
Multiscale scattering in nonlinear Kerr-type media	9
Quadratic points on bielliptic modular curves	9
Hybridization and postprocessing in finite element exterior calculus	9
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	9
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	9
Gradient descent for convex and smooth noisy optimization	8
QQMR: A structure preserving quaternion quasi-minimal residual method	8
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	8
The Diophantine problem in Thompson’s group ????	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
Gonality of the modular curve ????₀(????)	8
The sharpness condition for constructing a finite element from a superspline	8
A variational approach to the analysis of the continuous space–time FEM for the wave equation	8
An algorithmic approach to Rupert’s problem	7
Tropical tangents for complete intersection curves	7
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	7
Refined Selmer equations for the thrice-punctured line in depth two	7
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	7
	7
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	7
Salem numbers with minimal trace	7
On the computation of modular forms on noncongruence subgroups	7
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
Extensible grid sampling for quantile estimation	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
Large-degree asymptotic expansions for the Jacobi and related functions	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
The interior penalty virtual element method for the biharmonic problem	6
Mixed methods and lower eigenvalue bounds	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
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
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
Explicit Tamagawa numbers for certain algebraic tori over number fields	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
The reciprocal sums of pseudoprimes and Carmichael numbers	6
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
Recovery of Sobolev functions restricted to iid sampling	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
Expected decrease for derivative-free algorithms using random subspaces	6
Shadow line distributions	6

A Ramanujan integral and its derivatives: computation and analysis	5
Faster truncated integer multiplication	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
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	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Minimization of hypersurfaces	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
A randomized lattice rule without component-by-component construction	5
Convergence of the boundary integral method for interfacial Stokes flow	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
Quinary forms and paramodular forms	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	5
Toric eigenvalue methods for solving sparse polynomial systems	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
On the existence of abelian surfaces with everywhere good reduction	5
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	4
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
Finite element de Rham and Stokes complexes in three dimensions	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
	4
The Adini finite element on locally refined meshes	4
Computing equilibrium measures with power law kernels	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Few hamiltonian cycles in graphs with one or two vertex degrees	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
Minimization of differential equations and algebraic values of ????-functions	4
A kit for linear forms in three logarithms	4
	4
Explicit Vologodsky integration for hyperelliptic curves	4
On invariable generation of alternating groups by elements of prime and prime power order	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	4
	4