OOIR: Observatory of International Research

Papers

(The TQCC of Numerische Mathematik is 6. 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
Numerical analysis for iterative filtering with new efficient implementations based on FFT	48
Unconditionally positivity preserving and energy dissipative schemes for Poisson–Nernst–Planck equations	22
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs	21
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation	20
Dynamical reduced basis methods for Hamiltonian systems	19
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations	19
Convergence rates for the numerical approximation of the 2D stochastic Navier–Stokes equations	19
Finite Difference formulation of any lattice Boltzmann scheme	18
A convergent evolving finite element algorithm for Willmore flow of closed surfaces	16
Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle–Matérn fields	15
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	15
Convergence and error estimates for time-discrete consensus-based optimization algorithms	15
The J-method for the Gross–Pitaevskii eigenvalue problem	14
Nonnegative low rank tensor approximations with multidimensional image applications	14
Bulk-surface virtual element method for systems of PDEs in two-space dimensions	13
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver	12
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem	12
How much faster does the best polynomial approximation converge than Legendre projection?	12
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation	12
A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form	11
Corrected trapezoidal rules for boundary integral equations in three dimensions	11
CutFEM based on extended finite element spaces	11
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	10
Stable generalized finite element method (SGFEM) for three-dimensional crack problems	10
Boundary element methods for acoustic scattering by fractal screens	10

A multipoint stress-flux mixed finite element method for the Stokes-Biot model	10
A sharp relative-error bound for the Helmholtz h-FEM at high frequency	10
Development and analysis of a new finite element method for the Cohen–Monk PML model	10
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis	9
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	9
A reduced basis method for fractional diffusion operators I	9
Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules	9
An adaptive high-order unfitted finite element method for elliptic interface problems	9
Large-stepsize integrators for charged-particle dynamics over multiple time scales	9
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	8
Error estimates for deep learning methods in fluid dynamics	8
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	8
Multilevel ensemble Kalman filtering for spatio-temporal processes	8
Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation	8
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	8
Domain decomposition for entropy regularized optimal transport	7
Long-time behaviour of hybrid finite volume schemes for advection–diffusion equations: linear and nonlinear approaches	7
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap	7
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas	7
New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics	7
Robust treatment of cross-points in optimized Schwarz methods	7
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	7
Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints	6
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	6
Preconditioning high order $$H^2$$ conforming finite elements on triangles	6
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method	6
A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit	6
A DPG method for shallow shells	6
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility	6
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	6
Numerical approximation of the stochastic Cahn–Hilliard equation near the sharp interface limit	6
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	6
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid–structure interaction: stability and error analysis	6
Corners and stable optimized domain decomposition methods for the Helmholtz problem	6
Exponential convergence of hp FEM for spectral fractional diffusion in polygons	6
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	6
A numerical investigation of Brockett’s ensemble optimal control problems	6
Optimal operator preconditioning for pseudodifferential boundary problems	6
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	6
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	6
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	6
On algebraically stabilized schemes for convection–diffusion–reaction problems	6
An adaptive finite element DtN method for the elastic wave scattering problem	6
An implicit–explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions	6
Direct serendipity and mixed finite elements on convex quadrilaterals	6
Resolution of the implicit Euler scheme for the Navier–Stokes equation through a least-squares method	6