OOIR: Observatory of International Research

Papers

(The TQCC of Numerische Mathematik is 5. 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
Numerical analysis for iterative filtering with new efficient implementations based on FFT	41
On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems	33
General relaxation methods for initial-value problems with application to multistep schemes	24
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge–Ampère equations	23
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping	18
Unconditionally positivity preserving and energy dissipative schemes for Poisson–Nernst–Planck equations	17
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation	17
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations	17
Dynamical reduced basis methods for Hamiltonian systems	15
A convergent evolving finite element algorithm for Willmore flow of closed surfaces	15
A fast approach to optimal transport: the back-and-forth method	15
A structure-preserving FEM for the uniaxially constrained $$\mathbf{Q}$$-tensor model of nematic liquid crystals	14
Convergence rates for the numerical approximation of the 2D stochastic Navier–Stokes equations	14
Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle–Matérn fields	13
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs	13
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities	13
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion	13
Convergence and error estimates for time-discrete consensus-based optimization algorithms	12
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem	12
The J-method for the Gross–Pitaevskii eigenvalue problem	11
Bulk-surface virtual element method for systems of PDEs in two-space dimensions	11
Numerical solution of a bending-torsion model for elastic rods	11
Finite Difference formulation of any lattice Boltzmann scheme	11
A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form	11
Boundary element methods for acoustic scattering by fractal screens	10

Nonnegative low rank tensor approximations with multidimensional image applications	10
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution	10
How much faster does the best polynomial approximation converge than Legendre projection?	10
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver	10
Corrected trapezoidal rules for boundary integral equations in three dimensions	10
A variational finite volume scheme for Wasserstein gradient flows	10
Development and analysis of a new finite element method for the Cohen–Monk PML model	10
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	10
CutFEM based on extended finite element spaces	9
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation	9
A sharp relative-error bound for the Helmholtz h-FEM at high frequency	9
Stable generalized finite element method (SGFEM) for three-dimensional crack problems	8
A priori error estimates of regularized elliptic problems	8
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	8
An ultraweak formulation of the Reissner–Mindlin plate bending model and DPG approximation	8
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	8
A cut finite element method for a model of pressure in fractured media	8
Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules	8
Convergence of a Godunov scheme to an Audusse–Perthame adapted entropy solution for conservation laws with BV spatial flux	7
Efficient algorithms for solving the p-Laplacian in polynomial time	7
A new formulation using the Schur complement for the numerical existence proof of solutions to elliptic problems: without direct estimation for an inverse of the linearized operator	7
Multilevel ensemble Kalman filtering for spatio-temporal processes	7
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations	7
Robust treatment of cross-points in optimized Schwarz methods	7
Long-time behaviour of hybrid finite volume schemes for advection–diffusion equations: linear and nonlinear approaches	7
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis	7
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	7
Numerical algorithm for the space-time fractional Fokker–Planck system with two internal states	7
Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation	6
Optimization of the shape of regions supporting boundary conditions	6
A multipoint stress-flux mixed finite element method for the Stokes-Biot model	6
Numerical approximation of the stochastic Cahn–Hilliard equation near the sharp interface limit	6
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	6
Corners and stable optimized domain decomposition methods for the Helmholtz problem	6
An adaptive high-order unfitted finite element method for elliptic interface problems	6
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility	6
Resolution of the implicit Euler scheme for the Navier–Stokes equation through a least-squares method	6
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	6
A structure-preserving discontinuous Galerkin scheme for the Fisher–KPP equation	6
Two-level preconditioning for $$h$$-version boundary element approximation of hypersingular operator with GenEO	6
A reduced basis method for fractional diffusion operators I	6
A residual a posteriori error estimate for the time–domain boundary element method	6
Error estimates for deep learning methods in fluid dynamics	6
What makes nonholonomic integrators work?	6
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap	6
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	5
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	5
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	5
An implicit–explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions	5
Extremal and optimal properties of B-bases collocation matrices	5

Direct serendipity and mixed finite elements on convex quadrilaterals	5
On the convergence of Lawson methods for semilinear stiff problems	5
A domain mapping approach for elliptic equations posed on random bulk and surface domains	5
Convergence rates of a dual gradient method for constrained linear ill-posed problems	5
A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit	5
Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints	5
Oscillation in a posteriori error estimation	5
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	5
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas	5