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 2021-12-01 to 2025-12-01.)
ArticleCitations
Finite element methods for the stretching and bending of thin structures with folding34
Early stopping for conjugate gradients in statistical inverse problems31
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws31
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function21
Error estimates for total-variation regularized minimization problems with singular dual solutions19
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method18
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates17
Parameter identification in PDEs by the solution of monotone inclusion problems16
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux16
Interior estimates for the virtual element method16
Least-squares finite elements for distributed optimal control problems16
A new parameter free partially penalized immersed finite element and the optimal convergence analysis15
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy14
Neural networks for singular perturbations14
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens14
An iterative method for the solution of Laplace-like equations in high and very high space dimensions13
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states13
Randomized block Krylov methods for approximating extreme eigenvalues12
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty12
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme10
Grid-free weighted particle method applied to the Vlasov–Poisson equation10
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians10
A convergence framework for optimal transport on the sphere9
On the numerical stability of linear barycentric rational interpolation9
On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$9
Proximal linearization methods for Schatten p-quasi-norm minimization9
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term9
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension9
Budget-limited distribution learning in multifidelity problems9
On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$9
Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the Euclidean space9
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates8
A reduced basis method for fractional diffusion operators I8
Correction: Random reordering in SOR-type methods8
A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval8
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system8
Robust treatment of cross-points in optimized Schwarz methods8
Hanke–Raus rule for Landweber iteration in Banach spaces8
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions8
Validated integration of semilinear parabolic PDEs8
Universal algorithms for computing spectra of periodic operators8
A family of conforming finite element divdiv complexes on cuboid meshes7
A proximal-gradient algorithm for crystal surface evolution7
Convergent adaptive hybrid higher-order schemes for convex minimization7
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs7
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow7
Numerical approximation of variational problems with orthotropic growth7
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations7
Uncertainty quantification for random domains using periodic random variables7
Stability of the minimum energy path7
Projection in negative norms and the regularization of rough linear functionals7
Which constraints of a numerical problem cause ill-conditioning?7
Fast evaluation of real and complex polynomials6
A super-localized generalized finite element method6
Rigorous numerics for nonlinear heat equations in the complex plane of time6
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis6
Spectral convergence of probability densities for forward problems in uncertainty quantification6
Wave scattering problems in exterior domains with the method of fundamental solutions6
A unifying framework for tangential interpolation of structured bilinear control systems6
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions6
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport6
The pressure-wired Stokes element: a mesh-robust version of the Scott–Vogelius element6
A framework for stable spectral methods in d-dimensional unit balls6
On the numerical approximation of a rescaling algorithm to nonlinear blow-up problems6
Lattice enumeration via linear programming6
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations6
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity6
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model6
On the number of terms in the COS method for European option pricing6
Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model6
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