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 2022-08-01 to 2026-08-01.)

Article	Citations
On factoring and power divisor problems via rank-3 lattices and the second vector	66
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	49
Functional graphs of families of quadratic polynomials	37
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	33
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	29
Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians	24
Sampling-based methods for multi-block optimization problems over transport polytopes	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
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	19
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	18
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	17
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	16
Towards a classification of isolated ????-invariants	15
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	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
Constructive quasi-uniform sequences over triangles	13
Learning particle swarming models from data with Gaussian processes	13
Generation of cycle permutation graphs and permutation snarks	13
Certified model order reduction for parametric Hermitian eigenproblems	13
Computing rough solutions of the stochastic nonlinear wave equation	12
Quadratic points on bielliptic modular curves	12
A census of cubic fourfolds over ????₂	12

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: Unconditional weak convergence to weak solutions	12
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
De Bruijn Sequences with Minimum Discrepancy	11
Hybridization and postprocessing in finite element exterior calculus	11
Divisibility conditions on the order of the reductions of algebraic numbers	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	11
On the computation of lattice sums without translational invariance	10
Stability of high-order Scott-Vogelius elements for 2D non-Newtonian incompressible flow	10
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	10
A variational approach to the analysis of the continuous space–time FEM for the wave equation	10
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	10
Gradient descent for convex and smooth noisy optimization	10
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	10
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	10
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	10
The Diophantine problem in Thompson’s group ????	10
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	10
QQMR: A structure preserving quaternion quasi-minimal residual method	9
Quantum realization of the finite element method	9
On the computation of modular forms on noncongruence subgroups	9
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	9
Gonality of the modular curve ????₀(????)	9
Algebraic norm and ????-class group capitulations in totally ramified cyclic ????-extensions	9
A Newton’s iteration converges quadratically to nonisolated solutions too	9
The sharpness condition for constructing a finite element from a superspline	9
A note on the growth factor in Gaussian elimination for generalized Higham matrices	9
Refined Selmer equations for the thrice-punctured line in depth two	9
Large-degree asymptotic expansions for the Jacobi and related functions	9
The pollution effect for FEM approximations of the Ginzburg–Landau equation	8
On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences–Part II: Digital nets and sequences	8
Salem numbers with minimal trace	8
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	8
An approximation theory framework for measure-transport sampling algorithms	8
Hadamard–Hitchcock decompositions: Identifiability and computation	8
An algorithm for identifying eigenvectors exhibiting strong spatial localization	8
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	8
An algorithmic approach to Rupert’s problem	8
A non-iterative domain decomposition time integrator for linear wave equations	8
Extensible grid sampling for quantile estimation	8
Erratum to “The reciprocal sums of pseudoprimes and Carmichael numbers”	8
Breaking the 4 barrier for the bound of a generating set of the class group	8
Tropical tangents for complete intersection curves	8
Alleviating missing boundary conditions in elliptic partial differential equations using interior point measurements	8
The reciprocal sums of pseudoprimes and Carmichael numbers	8
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	7
Shadow line distributions	7
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	7
Explicit Tamagawa numbers for certain algebraic tori over number fields	7
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	7
On the densities of covering numbers and abundant numbers	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
Modular curves ????₀(????) of density degree 5	7
Locally unitarily invariantizable NEPv and convergence analysis of SCF	7
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	7
Gaussian quadrature rules for composite highly oscillatory integrals	7
On Galois inertial types of elliptic curves over ℚ_{????}	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
The interior penalty virtual element method for the biharmonic problem	7
Optimizing the diffusion coefficient of overdamped Langevin dynamics	7
Mixed methods and lower eigenvalue bounds	7
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	7
Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems	6
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	6
Uniform preconditioners for high order finite element approximations of planar linear elasticity	6
Fast numerical approximation of linear, second-order hyperbolic problems using model order reduction and the Laplace transform	6
A Ramanujan integral and its derivatives: computation and analysis	6
Curves on the surface of cuboids	6
Cyclic sieving on permutations: An analysis of maps and statistics in the FindStat database	6
The lonely runner conjecture holds for eight runners	6
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	6
Quinary forms and paramodular forms	6
Expected decrease for derivative-free algorithms using random subspaces	6
Linear rates of asymptotic regularity for Halpern-type iterations	6
Convergence analysis of an adaptive nonconforming FEM for phase-field dependent topology optimization in Stokes flow	6
Faster truncated integer multiplication	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
A randomized lattice rule without component-by-component construction	5
Floquet–Bloch analysis of wave propagation with time-periodic coefficients	5
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	5
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	5
Provable low-rank tensor-train approximations in the inverse of large-scale structured matrices	5
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Projecting dynamical systems via a support bound	5
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Minimization of hypersurfaces	5
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On invariable generation of alternating groups by elements of prime and prime power order	5
Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes	5
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	5
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Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
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Convergence of the boundary integral method for interfacial Stokes flow	5
Infinite Euclidean distance discriminants	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,ℤ)	5
The Adini finite element on locally refined meshes	5
A short basis of the Stickelberger ideal of a cyclotomic field	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	4
A kit for linear forms in three logarithms	4
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Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
A framework for analysis of DEC approximations to Hodge-Laplacian problems using generalized Whitney forms	4
Few hamiltonian cycles in graphs with one or two vertex degrees	4
Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems	4
Multiscale estimates for the condition number of non-harmonic Fourier matrices	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	4
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model	4
A path-dependent PDE solver based on signature kernels	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
Closed bounded rational framing motions	4
A local discontinuous Galerkin method for the Novikov equation	4
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	4
A new algorithm for ????-adic continued fractions	4
A convex dual problem for the rational minimax approximation and Lawson’s iteration	4
An algorithm to recognize regular singular Mahler systems	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
Regularity and tailored regularization of deep neural networks, with application to parametric PDEs in uncertainty quantification	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Finite element de Rham and Stokes complexes in three dimensions	4
Minimization of differential equations and algebraic values of ????-functions	4
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	4
Stochastic nested primal-dual method for nonconvex constrained composition optimization	4