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

Article	Citations
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	53
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	37
Functional graphs of families of quadratic polynomials	30
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	27
Sampling-based methods for multi-block optimization problems over transport polytopes	26
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	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
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	20
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	19
Broken-FEEC discretizations and Hodge Laplace problems	17
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	17
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	15
Certified dimension reduction in nonlinear Bayesian inverse problems	13
Error estimates for a class of continuous Bonse-type inequalities	12
Hensel lifting algorithms for quadratic forms	12
Time discretizations of Wasserstein–Hamiltonian flows	12
Towards a classification of isolated ????-invariants	12
Quadratic points on bielliptic modular curves	11
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	11
Divisibility conditions on the order of the reductions of algebraic numbers	11
A census of cubic fourfolds over ????₂	11
Learning particle swarming models from data with Gaussian processes	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
Full discretization error analysis of exponential integrators for semilinear wave equations	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	10

Hybridization and postprocessing in finite element exterior calculus	10
On the computation of lattice sums without translational invariance	10
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
Gonality of the modular curve ????₀(????)	9
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	9
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	9
Multiscale scattering in nonlinear Kerr-type media	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
QQMR: A structure preserving quaternion quasi-minimal residual method	9
Gradient descent for convex and smooth noisy optimization	9
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	9
The Diophantine problem in Thompson’s group ????	9
A variational approach to the analysis of the continuous space–time FEM for the wave equation	9
The sharpness condition for constructing a finite element from a superspline	9
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
On the computation of modular forms on noncongruence subgroups	8
An algorithmic approach to Rupert’s problem	8
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	8
	8
Refined Selmer equations for the thrice-punctured line in depth two	8
A posteriori error analysis for approximations of time-fractional subdiffusion problems	8
Tropical tangents for complete intersection curves	8
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	7
A Newton’s iteration converges quadratically to nonisolated solutions too	7
Extensible grid sampling for quantile estimation	7
The reciprocal sums of pseudoprimes and Carmichael numbers	7
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	7
Salem numbers with minimal trace	7
Large-degree asymptotic expansions for the Jacobi and related functions	7
An approximation theory framework for measure-transport sampling algorithms	7
Shadow line distributions	7
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	7
Breaking the 4 barrier for the bound of a generating set of the class group	7
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	7
Cyclic sieving on permutations: An analysis of maps and statistics in the FindStat database	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
A Ramanujan integral and its derivatives: computation and analysis	6
Gaussian quadrature rules for composite highly oscillatory integrals	6
Uniform preconditioners for high order finite element approximations of planar linear elasticity	6
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
The interior penalty virtual element method for the biharmonic problem	6
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	6
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	6
Toric eigenvalue methods for solving sparse polynomial systems	6
Expected decrease for derivative-free algorithms using random subspaces	6

Explicit Tamagawa numbers for certain algebraic tori over number fields	6
Recovery of Sobolev functions restricted to iid sampling	6
Mixed methods and lower eigenvalue bounds	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	6
	6
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	6
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	5
Computing equilibrium measures with power law kernels	5
	5
Quinary forms and paramodular forms	5
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	5
	5
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	5
Minimization of hypersurfaces	5
A randomized lattice rule without component-by-component construction	5
Explicit Vologodsky integration for hyperelliptic curves	5
Faster truncated integer multiplication	5
Floquet–Bloch analysis of wave propagation with time-periodic coefficients	5
	5
The Adini finite element on locally refined meshes	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	5
Convergence of the boundary integral method for interfacial Stokes flow	5
Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,ℤ)	4
	4
	4
Minimization of differential equations and algebraic values of ????-functions	4
A new algorithm for ????-adic continued fractions	4
Stochastic nested primal-dual method for nonconvex constrained composition optimization	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
	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
Virtual element methods for Biot–Kirchhoff poroelasticity	4
An algorithm to recognize regular singular Mahler systems	4
Finite element de Rham and Stokes complexes in three dimensions	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
A kit for linear forms in three logarithms	4
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	4
Few hamiltonian cycles in graphs with one or two vertex degrees	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