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 2022-06-01 to 2026-06-01.)
ArticleCitations
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method44
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function37
Finite element methods for the stretching and bending of thin structures with folding36
Error estimates for total-variation regularized minimization problems with singular dual solutions30
Early stopping for conjugate gradients in statistical inverse problems23
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws23
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates21
Estimation of spectral gaps for sparse symmetric matrices19
Convergence of discontinuous galerkin methods for quasiconvex and relaxed variational problems17
Interior estimates for the virtual element method16
Parameter identification in PDEs by the solution of monotone inclusion problems15
Least-squares finite elements for distributed optimal control problems14
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux13
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy13
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty12
Neural networks for singular perturbations12
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme12
Grid-free weighted particle method applied to the Vlasov–Poisson equation11
Budget-limited distribution learning in multifidelity problems10
Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the Euclidean space10
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states10
Proximal linearization methods for Schatten p-quasi-norm minimization10
On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$10
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens10
A convergence framework for optimal transport on the sphere10
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians10
An iterative method for the solution of Laplace-like equations in high and very high space dimensions10
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension9
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions9
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system9
Convergence rates of particle approximation of forward-backward splitting algorithm for granular medium equations9
On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$9
On the numerical stability of linear barycentric rational interpolation9
A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval9
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs8
Alternative Basis matrix multiplication is fast and stable†8
A family of conforming finite element divdiv complexes on cuboid meshes8
Uncertainty quantification for random domains using periodic random variables8
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow8
Hanke–Raus rule for Landweber iteration in Banach spaces8
Correction: Random reordering in SOR-type methods8
Stability of the minimum energy path8
Validated integration of semilinear parabolic PDEs8
Which constraints of a numerical problem cause ill-conditioning?7
Fast evaluation of real and complex polynomials7
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations7
Convergent finite element approximations of surface evolution with relaxed minimal deformation7
Correction: Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations7
Numerical approximation of variational problems with orthotropic growth7
A unifying framework for tangential interpolation of structured bilinear control systems7
A proximal-gradient algorithm for crystal surface evolution7
Lattice enumeration via linear programming7
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions7
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport7
A super-localized generalized finite element method6
On the numerical approximation of a rescaling algorithm to nonlinear blow-up problems6
On the number of terms in the COS method for European option pricing6
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity6
Wave scattering problems in exterior domains with the method of fundamental solutions6
A framework for stable spectral methods in d-dimensional unit balls6
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model6
The pressure-wired Stokes element: a mesh-robust version of the Scott–Vogelius element6
Discretizing the Fokker–Planck equation with second-order accuracy: a dissipation driven approach6
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