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 2021-08-01 to 2025-08-01.)

Article	Citations
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	72
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	45
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	30
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	24
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	24
Functional graphs of families of quadratic polynomials	22
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
Sampling-based methods for multi-block optimization problems over transport polytopes	21
Broken-FEEC discretizations and Hodge Laplace problems	19
Certified dimension reduction in nonlinear Bayesian inverse problems	17
Time discretizations of Wasserstein–Hamiltonian flows	16
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	16
An extended Galerkin analysis in finite element exterior calculus	16
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	16
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	15
Error estimates for a class of continuous Bonse-type inequalities	15
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	15
Towards a classification of isolated ????-invariants	14
Hensel lifting algorithms for quadratic forms	13
On bounds for Kummer’s function ratio	12
Full discretization error analysis of exponential integrators for semilinear wave equations	11
Divisibility conditions on the order of the reductions of algebraic numbers	11
Learning particle swarming models from data with Gaussian processes	11
The minimality of the Georges–Kelmans graph	11

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

Toric eigenvalue methods for solving sparse polynomial systems	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Multilevel decompositions and norms for negative order Sobolev spaces	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Mixed methods and lower eigenvalue bounds	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	5
Minimization of hypersurfaces	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
A randomized lattice rule without component-by-component construction	5
Expected decrease for derivative-free algorithms using random subspaces	5
Shadow line distributions	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
A Ramanujan integral and its derivatives: computation and analysis	5
On the existence of abelian surfaces with everywhere good reduction	5
Quinary forms and paramodular forms	5
	4
An explicit formula for the extended Gross-Keating datum of a quadratic form	4
	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Minimization of differential equations and algebraic values of ????-functions	4
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	4
Faster truncated integer multiplication	4
Enumeration of left braces with additive group ????₄×????₄×????₄	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
A kit for linear forms in three logarithms	4
On invariable generation of alternating groups by elements of prime and prime power order	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
Convergence of the boundary integral method for interfacial Stokes flow	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
Explicit Vologodsky integration for hyperelliptic curves	4
The Adini finite element on locally refined meshes	4
	4
	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
	4
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
Computing equilibrium measures with power law kernels	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	3
Norm one Tori and Hasse norm principle	3
Stochastic nested primal-dual method for nonconvex constrained composition optimization	3
A local discontinuous Galerkin method for the Novikov equation	3
	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{????}	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
A new algorithm for ????-adic continued fractions	3
Finite element de Rham and Stokes complexes in three dimensions	3
A convex dual problem for the rational minimax approximation and Lawson’s iteration	3
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	3
A short basis of the Stickelberger ideal of a cyclotomic field	3
A manifold of planar triangular meshes with complete Riemannian metric	3
Iterative solution of spatial network models by subspace decomposition	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
On the sign changes of ????(????)-????	3
A sharp discrepancy bound for jittered sampling	3
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
Multiscale estimates for the condition number of non-harmonic Fourier matrices	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
An algorithm to recognize regular singular Mahler systems	3
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	3
Few hamiltonian cycles in graphs with one or two vertex degrees	3
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	3
On median filters for motion by mean curvature	3
Convergence analysis of Laguerre approximations for analytic functions	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
Computing ????-adic L-functions of totally real fields	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
Improved computation of fundamental domains for arithmetic Fuchsian groups	3