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 2020-11-01 to 2024-11-01.)

Article	Citations
Analysis of adaptive BDF2 scheme for diffusion equations	65
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis	44
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system	42
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	25
Sharper bounds for the Chebyshev function ?(?)	24
Certified dimension reduction in nonlinear Bayesian inverse problems	20
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	20
Analysis of the shifted boundary method for the Poisson problem in domains with corners	19
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	18
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation	18
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation	18
Structure-preserving reduced basis methods for Poisson systems	16
Approximate first-order primal-dual algorithms for saddle point problems	15
ℎ?-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	15
Finite elements for divdiv conforming symmetric tensors in three dimensions	14
A finite element elasticity complex in three dimensions	14
Rate optimality of adaptive finite element methods with respect to overall computational costs	14
Super-localization of elliptic multiscale problems	14
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	13
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves	13
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation	13
A weighted randomized Kaczmarz method for solving linear systems	13
Accurate estimation of sums over zeros of the Riemann zeta-function	12
Function integration, reconstruction and approximation using rank-$1$ lattices	12
The error term in the prime number theorem	12

Conforming discrete Gradgrad-complexes in three dimensions	11
Error estimates at low regularity of splitting schemes for NLS	11
A symmetric low-regularity integrator for nonlinear Klein-Gordon equation	11
A unified framework of SAGE and SONC polynomials and its duality theory	11
A highly accurate boundary integral method for the elastic obstacle scattering problem	11
Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs	11
Stabilized leapfrog based local time-stepping method for the wave equation	11
Multilevel decompositions and norms for negative order Sobolev spaces	10
On an inverse problem of nonlinear imaging with fractional damping	10
Superconvergence of time invariants for the Gross–Pitaevskii equation	10
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	10
Low Mach number limit of some staggered schemes for compressible barotropic flows	10
Nitsche’s method for Navier–Stokes equations with slip boundary conditions	10
Computing square-free polarized abelian varieties over finite fields	9
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	9
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations	9
A new practical framework for the stability analysis of perturbed saddle-point problems and applications	8
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	8
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	8
Existence of dynamical low-rank approximations to parabolic problems	8
A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications	8
Stable broken ?(????) polynomial extensions and ?-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	8
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes	7
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Multiscale scattering in nonlinear Kerr-type media	7
Computing equilibrium measures with power law kernels	7
The interior penalty virtual element method for the biharmonic problem	7
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations	7
Totally positive algebraic integers with small trace	7
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity	7
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids	7
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	7
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	6
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	6
Explicit interval estimates for prime numbers	6
Numerical homotopies from Khovanskii bases	6
A first-order Fourier integrator for the nonlinear Schrödinger equation on ? without loss of regularity	6
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	6
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations	6
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	6
Periodic representations for quadratic irrationals in the field of ?-adic numbers	6
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem	6
The distribution of $k$-free numbers	6
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk	6
On symmetric-conjugate composition methods in the numerical integration of differential equations	6
Computing error bounds for asymptotic expansions of regular P-recursive sequences	6
Dual linear programming bounds for sphere packing via modular forms	6
Super-polynomial accuracy of one dimensional randomized nets using the median of means	6
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	6

Fast and stable augmented Levin methods for highly oscillatory and singular integrals	6
Smoothed analysis for the condition number of structured real polynomial systems	5
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	5
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	5
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth	5
Local and global phaseless sampling in real spline spaces	5
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	5
Algorithms for fusion systems with applications to ?-groups of small order	5
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	5
Explicit and efficient error estimation for convex minimization problems	5
Series reversion in Calderón’s problem	5
A posteriori error analysis for approximations of time-fractional subdiffusion problems	5
On the second Lyapunov exponent of some multidimensional continued fraction algorithms	5
Enumeration of set-theoretic solutions to the Yang–Baxter equation	5
New superconvergent structures developed from the finite volume element method in 1D	5
An exponent one-fifth algorithm for deterministic integer factorisation	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Counting zeros of Dirichlet $L$-functions	5
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations	5
Analysis of divergence-free ?¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number	5
Minimization with differential inequality constraints applied to complete Lyapunov functions	5
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations	5
Numerical methods for biomembranes: Conforming subdivision methods versus non-conforming PL methods	5
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity	5
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems	5
Interpolation operator on negative Sobolev spaces	4
Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions	4
Strengthening the Baillie-PSW primality test	4
Minimal residual methods in negative or fractional Sobolev norms	4
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	4
A kit for linear forms in three logarithms	4
Scaled lattice rules for integration on ℝ^{?} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	4
Stochastic gradient descent for linear inverse problems in Hilbert spaces	4
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	4
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	4
On the reconstruction of functions from values at subsampled quadrature points	4
Accuracy controlled data assimilation for parabolic problems	4
Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations	4
Algorithms for fundamental invariants and equivariants of finite groups	4
Uniform convergent expansions of integral transforms	4
Pointwise error estimates and local superconvergence of Jacobi expansions	4
Quadratic points on bielliptic modular curves	4
Convergence analysis of some tent-based schemes for linear hyperbolic systems	4
Inf-sup stability implies quasi-orthogonality	4
Avoiding squares over words with lists of size three amongst four symbols	4
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	4
A time-space tradeoff for Lehman’s deterministic integer factorization method	4
Class numbers and representations by ternary quadratic forms with congruence conditions	4
Finite element de Rham and Stokes complexes in three dimensions	4
Cyclic isogenies of elliptic curves over fixed quadratic fields	4
Semiexplicit symplectic integrators for non-separable Hamiltonian systems	4
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	4
Toric eigenvalue methods for solving sparse polynomial systems	4
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	4
Iterative solution of spatial network models by subspace decomposition	4