Numerische Mathematik

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 2021-09-01 to 2025-09-01.)
ArticleCitations
Finite element methods for the stretching and bending of thin structures with folding36
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates32
Error estimates for total-variation regularized minimization problems with singular dual solutions27
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws26
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations18
Interior estimates for the virtual element method17
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method17
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux16
Least-squares finite elements for distributed optimal control problems15
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy15
Parameter identification in PDEs by the solution of monotone inclusion problems14
A new parameter free partially penalized immersed finite element and the optimal convergence analysis14
Grid-free weighted particle method applied to the Vlasov–Poisson equation13
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states13
Maximal spaces for approximation rates in $$\ell ^1$$-regularization13
Correction to: A note on Dekker’s FastTwoSum algorithm13
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations12
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty12
An iterative method for the solution of Laplace-like equations in high and very high space dimensions12
Randomized block Krylov methods for approximating extreme eigenvalues11
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians11
Budget-limited distribution learning in multifidelity problems10
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme10
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens10
Proximal linearization methods for Schatten p-quasi-norm minimization10
On the numerical stability of linear barycentric rational interpolation9
A convergence framework for optimal transport on the sphere9
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates9
On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$9
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension9
On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$8
Validated integration of semilinear parabolic PDEs8
A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval8
Stability of the minimum energy path8
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification8
Universal algorithms for computing spectra of periodic operators8
Robust treatment of cross-points in optimized Schwarz methods8
A reduced basis method for fractional diffusion operators I8
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system8
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term8
A sharp relative-error bound for the Helmholtz h-FEM at high frequency8
A family of conforming finite element divdiv complexes on cuboid meshes8
Error estimates for a fully discrete spectral scheme for nonlinear Boussinesq systems8
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions8
Hanke–Raus rule for Landweber iteration in Banach spaces8
Correction: Random reordering in SOR-type methods8
Uncertainty quantification for random domains using periodic random variables8
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs8
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow7
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions7
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations7
A proximal-gradient algorithm for crystal surface evolution7
Numerical approximation of variational problems with orthotropic growth7
Which constraints of a numerical problem cause ill-conditioning?7
Corners and stable optimized domain decomposition methods for the Helmholtz problem7
Projection in negative norms and the regularization of rough linear functionals6
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations6
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport6
Wave scattering problems in exterior domains with the method of fundamental solutions6
A unifying framework for tangential interpolation of structured bilinear control systems6
Lattice enumeration via linear programming6
Rigorous numerics for nonlinear heat equations in the complex plane of time6
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions6
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity6
Convergent adaptive hybrid higher-order schemes for convex minimization6
Fast evaluation of real and complex polynomials6
Spectral convergence of probability densities for forward problems in uncertainty quantification6
A super-localized generalized finite element method6
0.067837953567505