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 2022-06-01 to 2026-06-01.)

Article	Citations
On factoring and power divisor problems via rank-3 lattices and the second vector	63
Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians	42
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	33
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	33
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	27
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	23
Functional graphs of families of quadratic polynomials	20
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	20
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	19
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	18
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	16
Sampling-based methods for multi-block optimization problems over transport polytopes	16
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	15
Towards a classification of isolated ????-invariants	15
Broken-FEEC discretizations and Hodge Laplace problems	15
Bohr sets generated by polynomials and Coppersmith’s method in many variables	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	14
Hensel lifting algorithms for quadratic forms	14
Generation of cycle permutation graphs and permutation snarks	13
Computing rough solutions of the stochastic nonlinear wave equation	13
Learning particle swarming models from data with Gaussian processes	13
Certified model order reduction for parametric Hermitian eigenproblems	13
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	12
Quadratic points on bielliptic modular curves	12
A census of cubic fourfolds over ????₂	12

Divisibility conditions on the order of the reductions of algebraic numbers	11
On the computation of lattice sums without translational invariance	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
Hybridization and postprocessing in finite element exterior calculus	11
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	10
De Bruijn Sequences with Minimum Discrepancy	10
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	10
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	10
Stability of high-order Scott-Vogelius elements for 2D non-Newtonian incompressible flow	10
A variational approach to the analysis of the continuous space–time FEM for the wave equation	9
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	9
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	9
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	9
The Diophantine problem in Thompson’s group ????	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
Quantum realization of the finite element method	9
QQMR: A structure preserving quaternion quasi-minimal residual method	9
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	9
The sharpness condition for constructing a finite element from a superspline	9
Gradient descent for convex and smooth noisy optimization	9
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	9
Gonality of the modular curve ????₀(????)	9
Algebraic norm and ????-class group capitulations in totally ramified cyclic ????-extensions	8
An approximation theory framework for measure-transport sampling algorithms	8
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	8
On the computation of modular forms on noncongruence subgroups	8
A note on the growth factor in Gaussian elimination for generalized Higham matrices	8
Refined Selmer equations for the thrice-punctured line in depth two	8
A Newton’s iteration converges quadratically to nonisolated solutions too	8
Tropical tangents for complete intersection curves	8
Large-degree asymptotic expansions for the Jacobi and related functions	8
Breaking the 4 barrier for the bound of a generating set of the class group	8
Salem numbers with minimal trace	8
An algorithmic approach to Rupert’s problem	8
Extensible grid sampling for quantile estimation	7
Erratum to “The reciprocal sums of pseudoprimes and Carmichael numbers”	7
A non-iterative domain decomposition time integrator for linear wave equations	7
Recovery of Sobolev functions restricted to iid sampling	7
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	7
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
On Galois inertial types of elliptic curves over ℚ_{????}	7
The pollution effect for FEM approximations of the Ginzburg–Landau equation	7
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	7
Optimizing the diffusion coefficient of overdamped Langevin dynamics	7
The interior penalty virtual element method for the biharmonic problem	7
Gaussian quadrature rules for composite highly oscillatory integrals	7
The reciprocal sums of pseudoprimes and Carmichael numbers	7
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	7
Shadow line distributions	7

Hadamard–Hitchcock decompositions: Identifiability and computation	7
An algorithm for identifying eigenvectors exhibiting strong spatial localization	7
Cyclic sieving on permutations: An analysis of maps and statistics in the FindStat database	7
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	7
	6
A randomized lattice rule without component-by-component construction	6
The lonely runner conjecture holds for eight runners	6
Quinary forms and paramodular forms	6
A Ramanujan integral and its derivatives: computation and analysis	6
Explicit Tamagawa numbers for certain algebraic tori over number fields	6
Sampling and homology via bottlenecks	6
Linear rates of asymptotic regularity for Halpern-type iterations	6
Minimization of hypersurfaces	6
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	6
Curves on the surface of cuboids	6
Convergence analysis of an adaptive nonconforming FEM for phase-field dependent topology optimization in Stokes flow	6
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	6
Mixed methods and lower eigenvalue bounds	6
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	6
Uniform preconditioners for high order finite element approximations of planar linear elasticity	6
Toric eigenvalue methods for solving sparse polynomial systems	6
Fast numerical approximation of linear, second-order hyperbolic problems using model order reduction and the Laplace transform	6
	6
Expected decrease for derivative-free algorithms using random subspaces	6
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	6
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
Explicit Vologodsky integration for hyperelliptic curves	5
	5
Floquet–Bloch analysis of wave propagation with time-periodic coefficients	5
	5
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	5
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	5
Faster truncated integer multiplication	5
Convergence of the boundary integral method for interfacial Stokes flow	5
Computing equilibrium measures with power law kernels	5
Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,ℤ)	5
Provable low-rank tensor-train approximations in the inverse of large-scale structured matrices	5
	5
The Adini finite element on locally refined meshes	5
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Projecting dynamical systems via a support bound	5
Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes	5
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model	5
Time domain boundary integral equations and convolution quadrature for scattering by composite media	4
On invariable generation of alternating groups by elements of prime and prime power order	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
	4
A new algorithm for ????-adic continued fractions	4
Closed bounded rational framing motions	4
Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems	4
A convex dual problem for the rational minimax approximation and Lawson’s iteration	4
A local discontinuous Galerkin method for the Novikov equation	4
Multiscale estimates for the condition number of non-harmonic Fourier matrices	4
	4
A kit for linear forms in three logarithms	4
Finite element de Rham and Stokes complexes in three dimensions	4
Minimization of differential equations and algebraic values of ????-functions	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
Stochastic nested primal-dual method for nonconvex constrained composition optimization	4
Few hamiltonian cycles in graphs with one or two vertex degrees	4
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	4
Optimal convergence of a fully decoupled finite difference scheme of the Abels–Garcke–Grün model for incompressible two-phase flows with unmatched densities	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
An algorithm to recognize regular singular Mahler systems	4
Norm one Tori and Hasse norm principle	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4