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 2020-04-01 to 2024-04-01.)

Article	Citations
Analysis of adaptive BDF2 scheme for diffusion equations	49
Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation	34
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system	34
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis	32
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem	30
Low-regularity integrators for nonlinear Dirac equations	24
Dörfler marking with minimal cardinality is a linear complexity problem	22
Sharper bounds for the Chebyshev function ?(?)	21
Adaptive iterative linearization Galerkin methods for nonlinear problems	17
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	16
Certified dimension reduction in nonlinear Bayesian inverse problems	15
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	15
Analysis of the shifted boundary method for the Poisson problem in domains with corners	15
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation	15
Approximate first-order primal-dual algorithms for saddle point problems	14
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives	14
Quadratic points on modular curves with infinite Mordell–Weil group	14
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves	13
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime	13
Rate optimality of adaptive finite element methods with respect to overall computational costs	13
Structure-preserving reduced basis methods for Poisson systems	12
The error term in the prime number theorem	12
A weighted randomized Kaczmarz method for solving linear systems	12
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	12
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation	12

Orthogonal polynomials in and on a quadratic surface of revolution	12
On the continuous time limit of the ensemble Kalman filter	11
Accurate estimation of sums over zeros of the Riemann zeta-function	11
Finite elements for divdiv conforming symmetric tensors in three dimensions	11
Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs	10
Function integration, reconstruction and approximation using rank-$1$ lattices	10
Explicit Coleman integration for curves	10
ℎ?-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	10
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters	10
A unified framework of SAGE and SONC polynomials and its duality theory	10
A symmetric low-regularity integrator for nonlinear Klein-Gordon equation	9
Multilevel decompositions and norms for negative order Sobolev spaces	9
A highly accurate boundary integral method for the elastic obstacle scattering problem	9
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	9
A finite element elasticity complex in three dimensions	9
Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations	9
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	9
Stabilized leapfrog based local time-stepping method for the wave equation	9
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	8
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations	8
New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media	8
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Superconvergence of time invariants for the Gross–Pitaevskii equation	7
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	7
Convergence analysis of the Fast Subspace Descent method for convex optimization problems	7
Approximation of optimal transport problems with marginal moments constraints	7
On an inverse problem of nonlinear imaging with fractional damping	7
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes	7
Conforming discrete Gradgrad-complexes in three dimensions	7
Spectral norm of a symmetric tensor and its computation	7
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation	7
Multiscale scattering in nonlinear Kerr-type media	7
Computing equilibrium measures with power law kernels	7
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity	7
A new practical framework for the stability analysis of perturbed saddle-point problems and applications	6
The distribution of $k$-free numbers	6
Low Mach number limit of some staggered schemes for compressible barotropic flows	6
The Magnus expansion and post-Lie algebras	6
The Diophantine problem in some metabelian groups	6
Stable broken ?(????) polynomial extensions and ?-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	6
Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators	6
Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix	6
A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications	6
Periodic representations for quadratic irrationals in the field of ?-adic numbers	6
Dual linear programming bounds for sphere packing via modular forms	6
Computing square-free polarized abelian varieties over finite fields	6
Super-localization of elliptic multiscale problems	6
Existence of dynamical low-rank approximations to parabolic problems	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

Weak discrete maximum principle of finite element methods in convex polyhedra	5
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk	5
New superconvergent structures developed from the finite volume element method in 1D	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
A first-order Fourier integrator for the nonlinear Schrödinger equation on ? without loss of regularity	5
Consistency of finite volume approximations to nonlinear hyperbolic balance laws	5
An exponent one-fifth algorithm for deterministic integer factorisation	5
Enumeration of set-theoretic solutions to the Yang–Baxter equation	5
Counting zeros of Dirichlet $L$-functions	5
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	5
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations	5
Smoothed analysis for the condition number of structured real polynomial systems	5
Nitsche’s method for Navier–Stokes equations with slip boundary conditions	5
Totally positive algebraic integers with small trace	5
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Explicit interval estimates for prime numbers	5
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	4
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations	4
A numerical toolkit for multiprojective varieties	4
A time-space tradeoff for Lehman’s deterministic integer factorization method	4
Algorithms for fundamental invariants and equivariants of finite groups	4
Cyclic isogenies of elliptic curves over fixed quadratic fields	4
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors	4
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	4
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	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
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
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	4
On the second Lyapunov exponent of some multidimensional continued fraction algorithms	4
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations	4
Stochastic gradient descent for linear inverse problems in Hilbert spaces	4
Convergence analysis of some tent-based schemes for linear hyperbolic systems	4
On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk	4
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	4
Accuracy controlled data assimilation for parabolic problems	4
Uniform convergent expansions of integral transforms	4
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth	4
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	4
Local and global phaseless sampling in real spline spaces	4