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 2020-05-01 to 2024-05-01.)

Article	Citations
Analysis of adaptive BDF2 scheme for diffusion equations	53
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system	35
Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation	35
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis	34
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem	31
Low-regularity integrators for nonlinear Dirac equations	25
Sharper bounds for the Chebyshev function ?(?)	23
Dörfler marking with minimal cardinality is a linear complexity problem	22
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	17
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	17
Adaptive iterative linearization Galerkin methods for nonlinear problems	17
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation	16
Certified dimension reduction in nonlinear Bayesian inverse problems	16
Analysis of the shifted boundary method for the Poisson problem in domains with corners	15
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives	15
Quadratic points on modular curves with infinite Mordell–Weil group	14
Approximate first-order primal-dual algorithms for saddle point problems	14
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves	13
Finite elements for divdiv conforming symmetric tensors in three dimensions	13
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	13
Rate optimality of adaptive finite element methods with respect to overall computational costs	13
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation	12
A weighted randomized Kaczmarz method for solving linear systems	12
Function integration, reconstruction and approximation using rank-$1$ lattices	12
Structure-preserving reduced basis methods for Poisson systems	12

Orthogonal polynomials in and on a quadratic surface of revolution	12
A finite element elasticity complex in three dimensions	12
The error term in the prime number theorem	12
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters	11
On the continuous time limit of the ensemble Kalman filter	11
Accurate estimation of sums over zeros of the Riemann zeta-function	11
Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs	10
Stabilized leapfrog based local time-stepping method for the wave equation	10
Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations	10
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation	10
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	10
A unified framework of SAGE and SONC polynomials and its duality theory	10
ℎ?-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	10
A symmetric low-regularity integrator for nonlinear Klein-Gordon equation	10
Explicit Coleman integration for curves	10
A highly accurate boundary integral method for the elastic obstacle scattering problem	10
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
Conforming discrete Gradgrad-complexes in three dimensions	9
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	9
Multilevel decompositions and norms for negative order Sobolev spaces	9
On an inverse problem of nonlinear imaging with fractional damping	8
New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media	8
Approximation of optimal transport problems with marginal moments constraints	7
A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications	7
Computing equilibrium measures with power law kernels	7
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	7
Computing square-free polarized abelian varieties over finite fields	7
Super-localization of elliptic multiscale problems	7
Superconvergence of time invariants for the Gross–Pitaevskii equation	7
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity	7
The Magnus expansion and post-Lie algebras	7
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Multiscale scattering in nonlinear Kerr-type media	7
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes	7
Existence of dynamical low-rank approximations to parabolic problems	7
Spectral norm of a symmetric tensor and its computation	7
Dual linear programming bounds for sphere packing via modular forms	6
A new practical framework for the stability analysis of perturbed saddle-point problems and applications	6
Consistency of finite volume approximations to nonlinear hyperbolic balance laws	6
Low Mach number limit of some staggered schemes for compressible barotropic flows	6
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	6
Stable broken ?(????) polynomial extensions and ?-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	6
A first-order Fourier integrator for the nonlinear Schrödinger equation on ? without loss of regularity	6
Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators	6
Nitsche’s method for Navier–Stokes equations with slip boundary conditions	6
Totally positive algebraic integers with small trace	6
Computing error bounds for asymptotic expansions of regular P-recursive sequences	6
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids	6
Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix	6

The distribution of $k$-free numbers	6
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	6
Periodic representations for quadratic irrationals in the field of ?-adic numbers	6
Explicit interval estimates for prime numbers	6
Algorithms for fusion systems with applications to ?-groups of small order	5
On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk	5
An exponent one-fifth algorithm for deterministic integer factorisation	5
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations	5
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	5
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations	5
Counting zeros of Dirichlet $L$-functions	5
Smoothed analysis for the condition number of structured real polynomial systems	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors	5
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	5
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	5
Error estimates at low regularity of splitting schemes for NLS	5
New superconvergent structures developed from the finite volume element method in 1D	5
Weak discrete maximum principle of finite element methods in convex polyhedra	5
Local and global phaseless sampling in real spline spaces	5
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk	5
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	5
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity	5
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth	4
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations	4
Unconditional convergence for discretizations of dynamical optimal transport	4
Series reversion in Calderón’s problem	4
Accuracy controlled data assimilation for parabolic problems	4
Algorithms for fundamental invariants and equivariants of finite groups	4
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	4
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	4
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	4
Stochastic gradient descent for linear inverse problems in Hilbert spaces	4
Interpolation operator on negative Sobolev spaces	4
Super-polynomial accuracy of one dimensional randomized nets using the median of means	4
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem	4
Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions	4
Cyclic isogenies of elliptic curves over fixed quadratic fields	4
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	4
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations	4
Enumeration of set-theoretic solutions to the Yang–Baxter equation	4
Convergence analysis of some tent-based schemes for linear hyperbolic systems	4
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	4
A time-space tradeoff for Lehman’s deterministic integer factorization method	4
A numerical toolkit for multiprojective varieties	4
A posteriori error analysis for approximations of time-fractional subdiffusion problems	4
Uniform convergent expansions of integral transforms	4
On the second Lyapunov exponent of some multidimensional continued fraction algorithms	4
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	4