Numerische Mathematik publishes papers of the very highest quality presenting significantly new and important developments in all areas of Numerical Analysis. "Numerical Analysis" is here understood in its most general sense, as that part of Mathematics that covers:1. The conception and mathematical analysis of efficient numerical schemes actually used on computers (the "core" of Numerical Analysis)2. Optimization and Control Theory3. Mathematical Modeling4. The mathematical aspects of Scientific Computing
Numerische Mathematik发表了质量最高的论文，提出了数值分析所有领域中重大的新的重要发展。在这里，“数值分析”是从最一般的意义上理解的，因为它涵盖了数学的一部分: 1。实际在计算机上使用的有效数值方案的概念和数学分析(数值分析的“核心”) 2。优化和控制理论3。数学建模4。科学计算的数学方面
Numerical approximation of the integral fractional Laplacian
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01025-x
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm
来源期刊：Numerische MathematikDOI：10.1007/S00211-018-0995-X
Correcting for unknown errors in sparse high-dimensional function approximation
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01051-9
Adaptive BEM with inexact PCG solver yields almost optimal computational costs
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1011-1
Representation of conformal maps by rational functions
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01023-z
Finite element approximation of the Laplace–Beltrami operator on a surface with boundary
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-0990-2
Efficient high order algorithms for fractional integrals and fractional differential equations
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1004-0
Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1017-8
A posteriori error estimation and adaptivity in hp virtual elements
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01054-6
Rational approximations to fractional powers of self-adjoint positive operators
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01048-4
QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-0991-1
Variational discretization of axisymmetric curvature flows
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1013-z
Asymptotic convergence of spectral inverse iterations for stochastic eigenvalue problems
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01034-w
Structure preserving approximation of dissipative evolution problems
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01050-w
Error estimates for the implicit MAC scheme for the compressible Navier–Stokes equations
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1007-x
Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1002-2
Approximation in FEM, DG and IGA: a theoretical comparison
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01063-5
General multilevel adaptations for stochastic approximation algorithms of Robbins–Monro and Polyak–Ruppert type
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01024-Y
Error estimates on ergodic properties of discretized Feynman-Kac semigroups
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01059-1
Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1000-4
New hybridized mixed methods for linear elasticity and optimal multilevel solvers
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1001-3
Spectral Galerkin methods for transfer operators in uniformly expanding dynamics
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01031-z
Error estimates for a finite difference scheme associated with Hamilton–Jacobi equations on a junction
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01043-9
Construction of $$H({\\mathrm{div}})$$H(div)-conforming mixed finite elements on cuboidal hexahedra
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-0998-7
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01046-6
Regularization of inverse problems by two-point gradient methods in Banach spaces
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01068-0
Convergence analysis of a periodic-like waveform relaxation method for initial-value problems via the diagonalization technique
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01060-8
Lattice rules in non-periodic subspaces of Sobolev spaces
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1003-1
Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01022-0
Time-domain boundary integral equation modeling of heat transmission problems
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01040-Y
A primal discontinuous Galerkin method with static condensation on very general meshes
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01067-1
Spline functions, the biharmonic operator and approximate eigenvalues
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-01018-2
From a cell model with active motion to a Hele–Shaw-like system: a numerical approach
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01053-7
Mesh and model adaptivity for frictional contact problems
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01044-8
DDFV method for Navier–Stokes problem with outflow boundary conditions
来源期刊：Numerische MathematikDOI：10.1007/S00211-018-1014-Y
A high-order meshless Galerkin method for semilinear parabolic equations on spheres
来源期刊：Numerische MathematikDOI：10.1007/S00211-018-01021-7
Some examples of kinetic schemes whose diffusion limit is Il’in’s exponential-fitting
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-01020-8
Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1015-x
An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and $$L_2$$L2 stability
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01027-9
Time-discretization of stochastic 2-D Navier-Stokes equations with a penalty-projection method
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01057-3
Uniform-in-time bounds for approximate solutions of the drift–diffusion system
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-01019-1
Numerical analysis of quasilinear parabolic equations under low regularity assumptions
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01071-5
Qualitative properties of discrete nonlinear parabolic operators
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01062-6
Correction to: Fast random field generation with H-matrices
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01033-X
Provably convergent implementations of the subdivision algorithm for the computation of invariant objects
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-0997-8
Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation
来源期刊：Numerische MathematikDOI：10.1007/s00211-018-1010-2
A structure preserving flow for computing Hamiltonian matrix exponential
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01065-3
A Newton’s method characterization for real eigenvalue problems
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01037-7
Convergence analysis of penalty based numerical methods for constrained inequality problems
来源期刊：Numerische MathematikDOI：10.1007/s00211-019-01036-8
Generalized block anti-Gauss quadrature rules
来源期刊：Numerische MathematikDOI：10.1007/S00211-019-01069-Z
