Numerische Mathematik

Article	Citations
Numerical analysis for iterative filtering with new efficient implementations based on FFT	48
Unconditionally positivity preserving and energy dissipative schemes for Poisson–Nernst–Planck equations	22
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs	21
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation	20
Convergence rates for the numerical approximation of the 2D stochastic Navier–Stokes equations	19
Dynamical reduced basis methods for Hamiltonian systems	19
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations	19
Finite Difference formulation of any lattice Boltzmann scheme	18
A convergent evolving finite element algorithm for Willmore flow of closed surfaces	16
Convergence and error estimates for time-discrete consensus-based optimization algorithms	15
Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle–Matérn fields	15
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	15
Nonnegative low rank tensor approximations with multidimensional image applications	14
The J-method for the Gross–Pitaevskii eigenvalue problem	14
Bulk-surface virtual element method for systems of PDEs in two-space dimensions	13
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver	12
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem	12
How much faster does the best polynomial approximation converge than Legendre projection?	12
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation	12
A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form	11
Corrected trapezoidal rules for boundary integral equations in three dimensions	11
CutFEM based on extended finite element spaces	11
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	10
Stable generalized finite element method (SGFEM) for three-dimensional crack problems	10
Boundary element methods for acoustic scattering by fractal screens	10

A multipoint stress-flux mixed finite element method for the Stokes-Biot model	10
A sharp relative-error bound for the Helmholtz h-FEM at high frequency	10
Development and analysis of a new finite element method for the Cohen–Monk PML model	10
An adaptive high-order unfitted finite element method for elliptic interface problems	9
Large-stepsize integrators for charged-particle dynamics over multiple time scales	9
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis	9
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	9
A reduced basis method for fractional diffusion operators I	9
Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules	9
Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation	8
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	8
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	8
Error estimates for deep learning methods in fluid dynamics	8
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	8
Multilevel ensemble Kalman filtering for spatio-temporal processes	8
Robust treatment of cross-points in optimized Schwarz methods	7
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	7
Domain decomposition for entropy regularized optimal transport	7
Long-time behaviour of hybrid finite volume schemes for advection–diffusion equations: linear and nonlinear approaches	7
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap	7
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas	7
New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics	7
An adaptive finite element DtN method for the elastic wave scattering problem	6
An implicit–explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions	6
Direct serendipity and mixed finite elements on convex quadrilaterals	6
Resolution of the implicit Euler scheme for the Navier–Stokes equation through a least-squares method	6
Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints	6
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	6
Preconditioning high order $$H^2$$ conforming finite elements on triangles	6
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method	6
A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit	6
A DPG method for shallow shells	6
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility	6
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	6
Numerical approximation of the stochastic Cahn–Hilliard equation near the sharp interface limit	6
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	6
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid–structure interaction: stability and error analysis	6
Corners and stable optimized domain decomposition methods for the Helmholtz problem	6
Exponential convergence of hp FEM for spectral fractional diffusion in polygons	6
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	6
A numerical investigation of Brockett’s ensemble optimal control problems	6
Optimal operator preconditioning for pseudodifferential boundary problems	6
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	6
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	6
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	6
On algebraically stabilized schemes for convection–diffusion–reaction problems	6
On the accuracy of the finite volume approximations to nonlocal conservation laws	5
Randomized block Krylov methods for approximating extreme eigenvalues	5
Mixed and hybrid Petrov–Galerkin finite element discretization for optimal control of the wave equation	5
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition	5

Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions	5
A convergence framework for optimal transport on the sphere	5
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	5
Numerical analysis of a finite element formulation of the P2D model for Lithium-ion cells	5
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration	5
A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems	5
On the numerical stability of linear barycentric rational interpolation	5
Oscillation in a posteriori error estimation	5
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods	5
Convergence rates of a dual gradient method for constrained linear ill-posed problems	5
Numerical methods for scattering problems in periodic waveguides	5
An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems	4
Energy relaxation approximation for compressible multicomponent flows in thermal nonequilibrium	4
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	4
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier–Stokes system	4
On superconvergence of Runge–Kutta convolution quadrature for the wave equation	4
Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling	4
Fast hyperbolic wavelet regression meets ANOVA	4
Stochastic collocation method for computing eigenspaces of parameter-dependent operators	4
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM	4
New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media	4
A stabilized finite element method for inverse problems subject to the convection–diffusion equation. II: convection-dominated regime	4
Continuous data assimilation for displacement in a porous medium	4
Functional a posteriori error estimates for boundary element methods	4
New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results	4
A super-localized generalized finite element method	4
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	4
An averaged space–time discretization of the stochastic p-Laplace system	4
Analysis of direct discontinuous Galerkin methods for multi-dimensional convection–diffusion equations	4
Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings	3
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term	3
A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier–Stokes equations	3
Spectral convergence of probability densities for forward problems in uncertainty quantification	3
Sensitivity of low-rank matrix recovery	3
Orthogonality relations of Crouzeix–Raviart and Raviart–Thomas finite element spaces	3
The local discontinuous Galerkin method for a singularly perturbed convection–diffusion problem with characteristic and exponential layers	3
Error estimates for total-variation regularized minimization problems with singular dual solutions	3
Projection in negative norms and the regularization of rough linear functionals	3
Exact discrete Lagrangian mechanics for nonholonomic mechanics	3
Fiber product homotopy method for multiparameter eigenvalue problems	3
Second-order schemes for axisymmetric Navier–Stokes–Brinkman and transport equations modelling water filters	3
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds	3
Krylov improvements of the Uzawa method for Stokes type operator matrices	3
Fully computable a posteriori error bounds for eigenfunctions	3
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations	3
Fortin operator for the Taylor–Hood element	3
Minimum-correction second-moment matching: theory, algorithms and applications	3
A semi-Lagrangian scheme for Hamilton–Jacobi–Bellman equations with oblique derivatives boundary conditions	3
Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations	3
Universal algorithms for computing spectra of periodic operators	3
An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates	3
Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography	3
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems	3
Efficient multivariate approximation on the cube	3
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations	3
Rigorous numerics for nonlinear heat equations in the complex plane of time	3
Least-squares finite elements for distributed optimal control problems	3
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach	3
A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only	3
Time-dependent electromagnetic scattering from thin layers	3
Construction of weak solutions to compressible Navier–Stokes equations with general inflow/outflow boundary conditions via a numerical approximation	3
Uncertainty quantification for random domains using periodic random variables	2
The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type	2
Conservative numerical schemes with optimal dispersive wave relations: Part I. Derivation and analysis	2
A discrete elasticity complex on three-dimensional Alfeld splits	2
A framework for randomized time-splitting in linear-quadratic optimal control	2
Stabilization-free HHO a posteriori error control	2
A unifying framework for tangential interpolation of structured bilinear control systems	2
Maximal spaces for approximation rates in $$\ell ^1$$-regularization	2
Functions of rational Krylov space matrices and their decay properties	2
Mixed finite elements for Bingham flow in a pipe	2
Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations	2
An approximation method of CP rank for third-order tensor completion	2
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems	2
On the method of reflections	2
A parallel-in-time approach for wave-type PDEs	2
The effect of quadrature rules on finite element solutions of Maxwell variational problems	2
An error estimate for a finite-volume scheme for the Cahn–Hilliard equation with dynamic boundary conditions	2
Maximizing sum of coupled traces with applications	2
Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations	2

An error bound for the time-sliced thawed Gaussian propagation method	2
Rational gauss quadrature rules for the approximation of matrix functionals involving stieltjes functions	2
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems	2
Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation	2
Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method	2
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems	2
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs	2
A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems	2
Goal-oriented adaptive finite element methods with optimal computational complexity	2
Nearest $$\varOmega $$-stable matrix via Riemannian optimization	2
Analysis and approximations of an optimal control problem for the Allen–Cahn equation	2