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 2022-01-01 to 2026-01-01.)
ArticleCitations
Early stopping for conjugate gradients in statistical inverse problems35
Error estimates for total-variation regularized minimization problems with singular dual solutions31
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws31
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method22
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates19
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function19
Interior estimates for the virtual element method18
Finite element methods for the stretching and bending of thin structures with folding18
Parameter identification in PDEs by the solution of monotone inclusion problems17
Least-squares finite elements for distributed optimal control problems17
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux16
A new parameter free partially penalized immersed finite element and the optimal convergence analysis15
Neural networks for singular perturbations14
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy14
Grid-free weighted particle method applied to the Vlasov–Poisson equation14
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens13
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty13
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme12
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians12
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states11
Proximal linearization methods for Schatten p-quasi-norm minimization10
Budget-limited distribution learning in multifidelity problems10
On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$10
An iterative method for the solution of Laplace-like equations in high and very high space dimensions10
Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the Euclidean space9
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term9
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
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension9
A reduced basis method for fractional diffusion operators I9
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates8
Validated integration of semilinear parabolic PDEs8
Correction: Random reordering in SOR-type methods8
Hanke–Raus rule for Landweber iteration in Banach spaces8
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
Uncertainty quantification for random domains using periodic random variables8
A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval8
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions8
A family of conforming finite element divdiv complexes on cuboid meshes8
Lattice enumeration via linear programming7
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions7
Stability of the minimum energy path7
Which constraints of a numerical problem cause ill-conditioning?7
Projection in negative norms and the regularization of rough linear functionals7
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
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow7
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs7
Numerical approximation of variational problems with orthotropic growth7
Correction: Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations7
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport7
A super-localized generalized finite element method7
Universal algorithms for computing spectra of periodic operators7
A proximal-gradient algorithm for crystal surface evolution7
Convergent adaptive hybrid higher-order schemes for convex minimization7
A unifying framework for tangential interpolation of structured bilinear control systems6
Wave scattering problems in exterior domains with the method of fundamental solutions6
A framework for stable spectral methods in d-dimensional unit balls6
Spectral convergence of probability densities for forward problems in uncertainty quantification6
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
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
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity6
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
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