OOIR: Observatory of International Research

Papers

(The TQCC of Mathematics of Computation 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
Convergence analysis of Laguerre approximations for analytic functions	60
Constructing abelian extensions with prescribed norms	42
Explicit interval estimates for prime numbers	36
How to reconstruct a planar map from its branching curve	27
Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: Analysis of an idealized relaxation model	26
Computing ????-adic L-functions of totally real fields	25
On the sign changes of ????(????)-????	22
Algorithms for computing the permutation resemblance of functions over finite groups	20
A classification of ECM-friendly families of elliptic curves using modular curves	20
On the convergence of the discontinuous Galerkin scheme for Einstein-scalar equations	19
Unified analysis of the semidiscrete discontinuous Galerkin methods for 2-D hyperbolic equations on Cartesian meshes using ℙ^{????} elements: optimal error estimates and superconvergence	19
Complexes from complexes: Finite element complexes in three dimensions	18
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches	16
Functional graphs of families of quadratic polynomials	15
An algorithm for identifying eigenvectors exhibiting strong spatial localization	15
Explicit bounds for products of primes in AP	15
Generalized Gearhart-Koshy acceleration for the Kaczmarz method	15
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	15
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	14
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	14
On the computation of general vector-valued modular forms	13
Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions	13
Corrigendum to “On two classes of simultaneous Pell equations with no solutions”	13
Dual linear programming bounds for sphere packing via modular forms	13
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	13

Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces	13
	13
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	12
Recovery of Sobolev functions restricted to iid sampling	11
ℎ????-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	11
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	10
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	10
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	10
The reciprocal sums of pseudoprimes and Carmichael numbers	10
Computing eigenvalues of the Laplacian on rough domains	9
Dynamics of quadratic polynomials and rational points on a curve of genus 4	9
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems	9
Sampling-based methods for multi-block optimization problems over transport polytopes	8
CM points, class numbers, and the Mahler measures of ????³+????³+1-????????????	8
Computing the spectral gap of a family of matrices	8
Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux	8
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	8
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	8
GMRES, pseudospectra, and Crouzeix’s conjecture for shifted and scaled Ginibre matrices	8
Algebraic aspects of homogeneous Kuramoto oscillators	7
Accurate estimation of sums over zeros of the Riemann zeta-function	7
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids	7
Efficient computation of non-archimedean theta functions	7
On eigenvalue gaps of integer matrices	7
A classification of genus 0 modular curves with rational points	7
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	7
Convergence analysis of the Halpern iteration with adaptive anchoring parameters	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	6
Function integration, reconstruction and approximation using rank-$1$ lattices	6
Extensible grid sampling for quantile estimation	6
Stability in phase retrieval: Characterizing condition numbers and the optimal vector set	6
Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations	6
The interior penalty virtual element method for the biharmonic problem	6
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	6
Optimal transportation for electrical impedance tomography	6
Stable broken ????(????????????????) polynomial extensions and ????-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	6
On an extended Filon method for highly oscillatory integrals over a simplex	6
Error estimates at low regularity of splitting schemes for NLS	6
Convergence of Langevin-simulated annealing algorithms with multiplicative noise	6
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	6
Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport	5
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	5
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	5
	5
The Weierstrass–Durand–Kerner root finder is not generally convergent	5
A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation	5
	5
Explicit calculations for Sono’s multidimensional sieve of ????₂-numbers	5
Expected decrease for derivative-free algorithms using random subspaces	5

A highly accurate boundary integral method for the elastic obstacle scattering problem	5
Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere	5
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	5
Computing ????-polynomials of Picard curves from Cartier–Manin matrices	5
	5
Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations	5
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
On the reconstruction of functions from values at subsampled quadrature points	5
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier–Stokes equations	5
ℚ-Curves, Hecke characters and some Diophantine equations	5
A rank-two relaxed parallel splitting version of the augmented Lagrangian method with step size in (0,2) for separable convex programming	5
A variational front-tracking method for multiphase flow with triple junctions	4
Splitting integrators for stochastic Lie–Poisson systems	4
Six-dimensional sphere packing and linear programming	4
Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes	4
Computation of a 30750-bit binary field discrete logarithm	4
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	4
Modular curves with infinitely many quartic points	4
Mixed methods and lower eigenvalue bounds	4
Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation	4
Abel Maps for nodal curves via tropical geometry	4
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	4
Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations	4
On median filters for motion by mean curvature	4
Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure	4
Iterative solution of spatial network models by subspace decomposition	4
A manifold of planar triangular meshes with complete Riemannian metric	4
On the enumeration of finite ????-algebras	4
A finite element elasticity complex in three dimensions	4
	4
Complexity analysis of inexact cubic-regularized primal-dual methods for finding second-order stationary points	4
Positivity of the determinants of the partition function and the overpartition function	4
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	4
Coupler curves of moving graphs and counting realizations of rigid graphs	4
A Ramanujan integral and its derivatives: computation and analysis	4
Orientable hyperbolic 4-manifolds over the 120-cell	3
Explicit Tamagawa numbers for certain algebraic tori over number fields	3
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	3
Inf-sup stability implies quasi-orthogonality	3
A weighted randomized Kaczmarz method for solving linear systems	3
Periodic representations for quadratic irrationals in the field of ????-adic numbers	3
An efficient algorithm for the ℓ_{????} norm based metric nearness problem	3
Gaussian quadrature rules for composite highly oscillatory integrals	3
Filtered Lie-Trotter splitting for the “good” Boussinesq equation: Low regularity error estimates	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
Computing error bounds for asymptotic expansions of regular P-recursive sequences	3
On the construction of multiresolution analyses associated to general subdivision schemes	3
A fast proximal gradient method and convergence analysis for dynamic mean field planning	3
Euler constants from primes in arithmetic progression	3
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	3
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	3
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	3
Low-rank quaternion tensor completion for color video inpainting via a novel factorization strategy	3
	3
Certified dimension reduction in nonlinear Bayesian inverse problems	3
Explicit and efficient error estimation for convex minimization problems	3
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	3
Interpolation operator on negative Sobolev spaces	3
Multiplicity of nontrivial zeros of primitive ????-functions via higher-level correlations	3
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	3
Bit complexity of polynomial GCD on sparse representation	3
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	3
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	3
Isogenies on Kummer Surfaces	3
Effective homology and periods of complex projective hypersurfaces	3
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem	3
Stabilized leapfrog based local time-stepping method for the wave equation	3
Locally unitarily invariantizable NEPv and convergence analysis of SCF	3
Avoiding squares over words with lists of size three amongst four symbols	3