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 2022-05-01 to 2026-05-01.)

Article	Citations
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	61
On factoring and power divisor problems via rank-3 lattices and the second vector	42
Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians	32
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	31
Sampling-based methods for multi-block optimization problems over transport polytopes	27
Functional graphs of families of quadratic polynomials	22
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	20
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	19
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	19
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	18
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	16
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	15
Broken-FEEC discretizations and Hodge Laplace problems	15
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	15
Certified model order reduction for parametric Hermitian eigenproblems	14
Bohr sets generated by polynomials and Coppersmith’s method in many variables	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	13
Hensel lifting algorithms for quadratic forms	13
Error estimates for a class of continuous Bonse-type inequalities	13
Hybridization and postprocessing in finite element exterior calculus	12
Computing rough solutions of the stochastic nonlinear wave equation	12
Stability of high-order Scott-Vogelius elements for 2D non-Newtonian incompressible flow	12
Learning particle swarming models from data with Gaussian processes	12
De Bruijn sequences with minimum discrepancy	12
Towards a classification of isolated ????-invariants	12

An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
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
Divisibility conditions on the order of the reductions of algebraic numbers	11
On the computation of lattice sums without translational invariance	10
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	10
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	9
A variational approach to the analysis of the continuous space–time FEM for the wave equation	9
Quantum realization of the finite element method	9
Gradient descent for convex and smooth noisy optimization	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
A census of cubic fourfolds over ????₂	9
The sharpness condition for constructing a finite element from a superspline	9
The Diophantine problem in Thompson’s group ????	9
QQMR: A structure preserving quaternion quasi-minimal residual method	9
A note on the growth factor in Gaussian elimination for generalized Higham matrices	8
Breaking the 4 barrier for the bound of a generating set of the class group	8
Large-degree asymptotic expansions for the Jacobi and related functions	8
Gonality of the modular curve ????₀(????)	8
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	8
Refined Selmer equations for the thrice-punctured line in depth two	8
An approximation theory framework for measure-transport sampling algorithms	8
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	8
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	8
Algebraic norm and ????-class group capitulations in totally ramified cyclic ????-extensions	8
On the computation of modular forms on noncongruence subgroups	8
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
An algorithmic approach to Rupert’s problem	7
Tropical tangents for complete intersection curves	7
The pollution effect for FEM approximations of the Ginzburg–Landau equation	7
Extensible grid sampling for quantile estimation	7
An algorithm for identifying eigenvectors exhibiting strong spatial localization	7
The interior penalty virtual element method for the biharmonic problem	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Salem numbers with minimal trace	7
The reciprocal sums of pseudoprimes and Carmichael numbers	7
Hadamard–Hitchcock decompositions: Identifiability and computation	7
On Galois inertial types of elliptic curves over ℚ_{????}	7
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	7
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	7
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	7
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Shadow line distributions	7
A Newton’s iteration converges quadratically to nonisolated solutions too	7
A non-iterative domain decomposition time integrator for linear wave equations	7
Recovery of Sobolev functions restricted to iid sampling	7
Optimizing the diffusion coefficient of overdamped Langevin dynamics	7
Erratum to “The reciprocal sums of pseudoprimes and Carmichael numbers”	7

Minimization of hypersurfaces	6
Toric eigenvalue methods for solving sparse polynomial systems	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	6
Cyclic sieving on permutations: An analysis of maps and statistics in the FindStat database	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
A Ramanujan integral and its derivatives: computation and analysis	6
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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
Gaussian quadrature rules for composite highly oscillatory integrals	6
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	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
A randomized lattice rule without component-by-component construction	6
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	6
Convergence analysis of an adaptive nonconforming FEM for phase-field dependent topology optimization in Stokes flow	6
Mixed methods and lower eigenvalue bounds	6
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	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
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	6
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Convergence of the boundary integral method for interfacial Stokes flow	5
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The Adini finite element on locally refined meshes	5
Faster truncated integer multiplication	5
Quinary forms and paramodular forms	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
Floquet–Bloch analysis of wave propagation with time-periodic coefficients	5
Computing equilibrium measures with power law kernels	5
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	5
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
Provable low-rank tensor-train approximations in the inverse of large-scale structured matrices	5
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	5
Explicit Vologodsky integration for hyperelliptic curves	5
A kit for linear forms in three logarithms	4
Finite element de Rham and Stokes complexes in three dimensions	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Norm one Tori and Hasse norm principle	4
Stochastic nested primal-dual method for nonconvex constrained composition optimization	4
Multiscale estimates for the condition number of non-harmonic Fourier matrices	4
A local discontinuous Galerkin method for the Novikov equation	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes	4
Stochastic algorithms for self-consistent calculations of electronic structures	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
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model	4
Minimization of differential equations and algebraic values of ????-functions	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems	4
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	4
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	4
An algorithm to recognize regular singular Mahler systems	4
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Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
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Virtual element methods for Biot–Kirchhoff poroelasticity	4
A new algorithm for ????-adic continued fractions	4
Closed bounded rational framing motions	4
A convex dual problem for the rational minimax approximation and Lawson’s iteration	4
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	4
Time domain boundary integral equations and convolution quadrature for scattering by composite media	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
On invariable generation of alternating groups by elements of prime and prime power order	4