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

Article	Citations
Convergence analysis of Laguerre approximations for analytic functions	44
Constructing abelian extensions with prescribed norms	42
Explicit interval estimates for prime numbers	28
How to reconstruct a planar map from its branching curve	24
Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: Analysis of an idealized relaxation model	22
Computing ????-adic L-functions of totally real fields	20
Function integration, reconstruction and approximation using rank-$1$ lattices	20
A classification of ECM-friendly families of elliptic curves using modular curves	20
Algorithms for computing the permutation resemblance of functions over finite groups	19
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm	18
An algorithm for identifying eigenvectors exhibiting strong spatial localization	16
Generalized Gearhart-Koshy acceleration for the Kaczmarz method	16
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	15
Explicit bounds for products of primes in AP	15
Functional graphs of families of quadratic polynomials	14
On an extended Filon method for highly oscillatory integrals over a simplex	14
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	14
Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces	13
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	13
Dual linear programming bounds for sphere packing via modular forms	13
Corrigendum to “On two classes of simultaneous Pell equations with no solutions”	13
On the computation of general vector-valued modular forms	13
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Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	12
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	11

Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	11
ℎ????-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	11
Recovery of Sobolev functions restricted to iid sampling	11
Embedded desingularization for arithmetic surfaces – toward a parallel implementation	11
A highly accurate boundary integral method for the elastic obstacle scattering problem	11
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems	10
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
Computing eigenvalues of the Laplacian on rough domains	10
The reciprocal sums of pseudoprimes and Carmichael numbers	10
Dynamics of quadratic polynomials and rational points on a curve of genus 4	9
Computing the spectral gap of a family of matrices	9
Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux	8
CM points, class numbers, and the Mahler measures of ????³+????³+1-????????????	8
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	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
Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions	7
Accurate estimation of sums over zeros of the Riemann zeta-function	7
A classification of genus 0 modular curves with rational points	7
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	7
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids	7
Convergence of Langevin-simulated annealing algorithms with multiplicative noise	7
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	7
Sampling-based methods for multi-block optimization problems over transport polytopes	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Convergence analysis of the Halpern iteration with adaptive anchoring parameters	7
Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations	6
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	6
Extensible grid sampling for quantile estimation	6
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	6
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	6
Error estimates at low regularity of splitting schemes for NLS	6
Periodic representations for quadratic irrationals in the field of ????-adic numbers	6
Stable broken ????(????????????????) polynomial extensions and ????-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	6
On eigenvalue gaps of integer matrices	6
Effective bounds for Huber’s constant and Faltings’s delta function	6
The interior penalty virtual element method for the biharmonic problem	6
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	6
Explicit calculations for Sono’s multidimensional sieve of ????₂-numbers	6
Optimal transportation for electrical impedance tomography	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
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	5
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Expected decrease for derivative-free algorithms using random subspaces	5

A Ramanujan integral and its derivatives: computation and analysis	5
A weighted randomized Kaczmarz method for solving linear systems	5
A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation	5
ℚ-Curves, Hecke characters and some Diophantine equations	5
On the construction of multiresolution analyses associated to general subdivision schemes	5
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier–Stokes equations	5
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	5
On the enumeration of finite ????-algebras	5
Multiplicity of nontrivial zeros of primitive ????-functions via higher-level correlations	5
Computing ????-polynomials of Picard curves from Cartier–Manin matrices	5
	5
Computation of a 30750-bit binary field discrete logarithm	5
Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere	5
Coupler curves of moving graphs and counting realizations of rigid graphs	5
Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport	5
Six-dimensional sphere packing and linear programming	4
Locally unitarily invariantizable NEPv and convergence analysis of SCF	4
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	4
Interpolation operator on negative Sobolev spaces	4
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	4
Positivity of the determinants of the partition function and the overpartition function	4
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	4
A fast proximal gradient method and convergence analysis for dynamic mean field planning	4
Modular curves with infinitely many quartic points	4
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	4
Abel Maps for nodal curves via tropical geometry	4
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	4
A unified framework of SAGE and SONC polynomials and its duality theory	4
Orientable hyperbolic 4-manifolds over the 120-cell	4
Explicit Tamagawa numbers for certain algebraic tori over number fields	4
On median filters for motion by mean curvature	4
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The Weierstrass–Durand–Kerner root finder is not generally convergent	4
Iterative solution of spatial network models by subspace decomposition	4
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Effective homology and periods of complex projective hypersurfaces	4
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	4
Avoiding squares over words with lists of size three amongst four symbols	4
Splitting integrators for stochastic Lie–Poisson systems	4
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	4
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	4
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	4
Stabilized leapfrog based local time-stepping method for the wave equation	4
Computing error bounds for asymptotic expansions of regular P-recursive sequences	4