Numerische Mathematik

Article	Citations
Numerical analysis for iterative filtering with new efficient implementations based on FFT	41
On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems	33
General relaxation methods for initial-value problems with application to multistep schemes	24
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge–Ampère equations	23
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping	18
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations	17
Unconditionally positivity preserving and energy dissipative schemes for Poisson–Nernst–Planck equations	17
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation	17
A fast approach to optimal transport: the back-and-forth method	15
Dynamical reduced basis methods for Hamiltonian systems	15
A convergent evolving finite element algorithm for Willmore flow of closed surfaces	15
Convergence rates for the numerical approximation of the 2D stochastic Navier–Stokes equations	14
A structure-preserving FEM for the uniaxially constrained $$\mathbf{Q}$$-tensor model of nematic liquid crystals	14
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion	13
Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle–Matérn fields	13
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs	13
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities	13
Convergence and error estimates for time-discrete consensus-based optimization algorithms	12
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem	12
Numerical solution of a bending-torsion model for elastic rods	11
Finite Difference formulation of any lattice Boltzmann scheme	11
A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form	11
The J-method for the Gross–Pitaevskii eigenvalue problem	11
Bulk-surface virtual element method for systems of PDEs in two-space dimensions	11
Corrected trapezoidal rules for boundary integral equations in three dimensions	10

A variational finite volume scheme for Wasserstein gradient flows	10
Development and analysis of a new finite element method for the Cohen–Monk PML model	10
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	10
Boundary element methods for acoustic scattering by fractal screens	10
Nonnegative low rank tensor approximations with multidimensional image applications	10
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution	10
How much faster does the best polynomial approximation converge than Legendre projection?	10
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver	10
A sharp relative-error bound for the Helmholtz h-FEM at high frequency	9
CutFEM based on extended finite element spaces	9
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation	9
A cut finite element method for a model of pressure in fractured media	8
Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules	8
Stable generalized finite element method (SGFEM) for three-dimensional crack problems	8
A priori error estimates of regularized elliptic problems	8
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	8
An ultraweak formulation of the Reissner–Mindlin plate bending model and DPG approximation	8
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	8
Robust treatment of cross-points in optimized Schwarz methods	7
Long-time behaviour of hybrid finite volume schemes for advection–diffusion equations: linear and nonlinear approaches	7
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis	7
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	7
Numerical algorithm for the space-time fractional Fokker–Planck system with two internal states	7
Convergence of a Godunov scheme to an Audusse–Perthame adapted entropy solution for conservation laws with BV spatial flux	7
Efficient algorithms for solving the p-Laplacian in polynomial time	7
A new formulation using the Schur complement for the numerical existence proof of solutions to elliptic problems: without direct estimation for an inverse of the linearized operator	7
Multilevel ensemble Kalman filtering for spatio-temporal processes	7
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations	7
A structure-preserving discontinuous Galerkin scheme for the Fisher–KPP equation	6
Two-level preconditioning for $$h$$-version boundary element approximation of hypersingular operator with GenEO	6
A reduced basis method for fractional diffusion operators I	6
A residual a posteriori error estimate for the time–domain boundary element method	6
Error estimates for deep learning methods in fluid dynamics	6
What makes nonholonomic integrators work?	6
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap	6
Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation	6
Optimization of the shape of regions supporting boundary conditions	6
A multipoint stress-flux mixed finite element method for the Stokes-Biot model	6
Numerical approximation of the stochastic Cahn–Hilliard equation near the sharp interface limit	6
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	6
Corners and stable optimized domain decomposition methods for the Helmholtz problem	6
An adaptive high-order unfitted finite element method for elliptic interface problems	6
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility	6
Resolution of the implicit Euler scheme for the Navier–Stokes equation through a least-squares method	6
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	6
Convergence rates of a dual gradient method for constrained linear ill-posed problems	5
A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit	5
Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints	5
Oscillation in a posteriori error estimation	5
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	5

Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas	5
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	5
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	5
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	5
An implicit–explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions	5
Extremal and optimal properties of B-bases collocation matrices	5
Direct serendipity and mixed finite elements on convex quadrilaterals	5
On the convergence of Lawson methods for semilinear stiff problems	5
A domain mapping approach for elliptic equations posed on random bulk and surface domains	5
Domain decomposition for entropy regularized optimal transport	4
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	4
Numerical analysis of a finite element formulation of the P2D model for Lithium-ion cells	4
Numerical methods for scattering problems in periodic waveguides	4
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	4
Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks	4
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM	4
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	4
On algebraically stabilized schemes for convection–diffusion–reaction problems	4
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	4
Preconditioning high order $$H^2$$ conforming finite elements on triangles	4
On convergence of Chorin’s projection method to a Leray–Hopf weak solution	4
Analysis of direct discontinuous Galerkin methods for multi-dimensional convection–diffusion equations	4
Energy relaxation approximation for compressible multicomponent flows in thermal nonequilibrium	4
Incomplete iterative solution of subdiffusion	4
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method	4
Large-stepsize integrators for charged-particle dynamics over multiple time scales	4
An adaptive finite element DtN method for the elastic wave scattering problem	4
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term	4
Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling	4
A numerical investigation of Brockett’s ensemble optimal control problems	4
New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics	4
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	4
Fiber product homotopy method for multiparameter eigenvalue problems	3
Universal algorithms for computing spectra of periodic operators	3
Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings	3
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition	3
A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems	3
A mass-lumped mixed finite element method for acoustic wave propagation	3
On the accuracy of the finite volume approximations to nonlocal conservation laws	3
New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results	3
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	3
Minimum-correction second-moment matching: theory, algorithms and applications	3
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier–Stokes system	3
Mixed and hybrid Petrov–Galerkin finite element discretization for optimal control of the wave equation	3
Exact discrete Lagrangian mechanics for nonholonomic mechanics	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 DPG method for shallow shells	3
Efficient multivariate approximation on the cube	3
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems	3
Optimal operator preconditioning for pseudodifferential boundary problems	3
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	3
A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only	3
Continuous data assimilation for displacement in a porous medium	3
Numerical validation of blow-up solutions with quasi-homogeneous compactifications	3
On superconvergence of Runge–Kutta convolution quadrature for the wave equation	3
Construction of weak solutions to compressible Navier–Stokes equations with general inflow/outflow boundary conditions via a numerical approximation	3
Functional a posteriori error estimates for boundary element methods	3
Second-order schemes for axisymmetric Navier–Stokes–Brinkman and transport equations modelling water filters	3
A convergence framework for optimal transport on the sphere	3
An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems	3
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations	3
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach	3
Projection in negative norms and the regularization of rough linear functionals	3
New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media	3
Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations	2
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems	2
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds	2
On the expansion of solutions of Laplace-like equations into traces of separable higher dimensional functions	2
The effect of quadrature rules on finite element solutions of Maxwell variational problems	2
A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems	2
On efficient weighted integration via a change of variables	2
Sensitivity of low-rank matrix recovery	2
Maximal spaces for approximation rates in $$\ell ^1$$-regularization	2
A semi-Lagrangian scheme for Hamilton–Jacobi–Bellman equations with oblique derivatives boundary conditions	2
An averaged space–time discretization of the stochastic p-Laplace system	2
Functions of rational Krylov space matrices and their decay properties	2
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods	2
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions	2
On the numerical stability of linear barycentric rational interpolation	2

Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem	2
An error estimate for a finite-volume scheme for the Cahn–Hilliard equation with dynamic boundary conditions	2
$$H^1$$, $$H(\mathrm {curl})$$ and $$H(\mathrm {div})$$ conforming elements on polygon-based prisms and cones	2
Spectral convergence of probability densities for forward problems in uncertainty quantification	2
The local discontinuous Galerkin method for a singularly perturbed convection–diffusion problem with characteristic and exponential layers	2
Nearest $$\varOmega $$-stable matrix via Riemannian optimization	2
Exponential convergence of hp FEM for spectral fractional diffusion in polygons	2
Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations	2
Rational gauss quadrature rules for the approximation of matrix functionals involving stieltjes functions	2
Lower a posteriori error estimates on anisotropic meshes	2
A parallel-in-time approach for wave-type PDEs	2
Fast hyperbolic wavelet regression meets ANOVA	2
Transparent boundary conditions and numerical computation for singularly perturbed telegraph equation on unbounded domain	2
A note on Dekker’s FastTwoSum algorithm	2
Fully computable a posteriori error bounds for eigenfunctions	2
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs	2
Goal-oriented adaptive finite element methods with optimal computational complexity	2
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach	2
Time-dependent electromagnetic scattering from thin layers	2
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid–structure interaction: stability and error analysis	2