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 2021-05-01 to 2025-05-01.)

Article	Citations
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	62
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	51
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	38
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	28
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	28
Sampling-based methods for multi-block optimization problems over transport polytopes	26
Accurate estimation of sums over zeros of the Riemann zeta-function	23
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	22
Functional graphs of families of quadratic polynomials	22
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	21
Broken-FEEC discretizations and Hodge Laplace problems	21
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	19
Certified dimension reduction in nonlinear Bayesian inverse problems	19
Stabilized leapfrog based local time-stepping method for the wave equation	18
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	18
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	17
Second order monotone finite differences discretization of linear anisotropic differential operators	16
Time discretizations of Wasserstein–Hamiltonian flows	16
On bounds for Kummer’s function ratio	15
An extended Galerkin analysis in finite element exterior calculus	15
Learning particle swarming models from data with Gaussian processes	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	14
Hensel lifting algorithms for quadratic forms	14
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	14
Error estimates for a class of continuous Bonse-type inequalities	14

Full discretization error analysis of exponential integrators for semilinear wave equations	13
Towards a classification of isolated ????-invariants	13
The minimality of the Georges–Kelmans graph	13
Divisibility conditions on the order of the reductions of algebraic numbers	12
Counting zeros of Dedekind zeta functions	12
Quadratic points on bielliptic modular curves	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
On the computation of lattice sums without translational invariance	10
A census of cubic fourfolds over ????₂	10
Hybridization and postprocessing in finite element exterior calculus	10
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
Superconvergence of time invariants for the Gross–Pitaevskii equation	9
Analysis of the shifted boundary method for the Poisson problem in domains with corners	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
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Error estimates for discrete generalized FEMs with locally optimal spectral approximations	8
Multiscale scattering in nonlinear Kerr-type media	8
QQMR: A structure preserving quaternion quasi-minimal residual method	8
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	7
	7
On the computation of modular forms on noncongruence subgroups	7
Gonality of the modular curve ????₀(????)	7
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	7
Rate optimality of adaptive finite element methods with respect to overall computational costs	7
A posteriori error analysis for approximations of time-fractional subdiffusion problems	7
A log-log speedup for exponent one-fifth deterministic integer factorisation	7
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	7
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions	7
Tropical tangents for complete intersection curves	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
Extensible grid sampling for quantile estimation	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
The reciprocal sums of pseudoprimes and Carmichael numbers	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
An approximation theory framework for measure-transport sampling algorithms	6
An algorithmic approach to Rupert’s problem	6
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	6
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	6
Salem numbers with minimal trace	6
Refined Selmer equations for the thrice-punctured line in depth two	6
Recovery of Sobolev functions restricted to iid sampling	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
Explicit Tamagawa numbers for certain algebraic tori over number fields	5
A Ramanujan integral and its derivatives: computation and analysis	5

Gaussian quadrature rules for composite highly oscillatory integrals	5
Multilevel decompositions and norms for negative order Sobolev spaces	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
Toric eigenvalue methods for solving sparse polynomial systems	5
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Expected decrease for derivative-free algorithms using random subspaces	5
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
A randomized lattice rule without component-by-component construction	5
Quinary forms and paramodular forms	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
Mixed methods and lower eigenvalue bounds	5
Minimization of hypersurfaces	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
	4
On invariable generation of alternating groups by elements of prime and prime power order	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
An explicit formula for the extended Gross-Keating datum of a quadratic form	4
Faster truncated integer multiplication	4
Enumeration of left braces with additive group ????₄×????₄×????₄	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Computing equilibrium measures with power law kernels	4
On the existence of abelian surfaces with everywhere good reduction	4
	4
Explicit Vologodsky integration for hyperelliptic curves	4
A kit for linear forms in three logarithms	4
Minimization of differential equations and algebraic values of ????-functions	4
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Convergence of the boundary integral method for interfacial Stokes flow	4
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Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4