Numerische Mathematik

Numerische Mathematik

数值数学

  • 2区 中科院分区
  • Q1 JCR分区

高引用文章

文章名称 引用次数
Discrete maximal regularity of time-stepping schemes for fractional evolution equations 12
Block Kronecker linearizations of matrix polynomials and their backward errors 10
Generalized finite element systems for smooth differential forms and Stokes' problem 10
Estimating and localizing the algebraic and total numerical errors using flux reconstructions 10
Numerical approximation of the integral fractional Laplacian 9
Representation of conformal maps by rational functions 9
Numerical analysis of stationary variational-hemivariational inequalities 8
Well-balanced schemes for the shallow water equations with Coriolis forces 8
A Levenberg-Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients 7
RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations 7
Efficient high order algorithms for fractional integrals and fractional differential equations 7
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm 6
An analysis of the TDNNS method using natural norms 6
Finite element approximation of the Laplace-Beltrami operator on a surface with boundary 6
A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model 6
Identifying conductivity in electrical impedance tomography with total variation regularization 6
Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation 5
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces 5
Continuous and discontinuous Galerkin time stepping methods for nonlinear initial value problems with application to finite time blow-up 5
An unbiased Nitsche's approximation of the frictional contact between two elastic structures 5
A posteriori error estimation and adaptivity in hp virtual elements 5
Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient 5
Fast random field generation with H-matrices 5
Nonlinear discontinuous Petrov-Galerkin methods 4
Rational approximations to fractional powers of self-adjoint positive operators 4
Regular decomposition and a framework of order reduced methods for fourth order problems 4
Smoothing for signals with discontinuities using higher order Mumford-Shah models 4
Convergence analysis of a periodic-like waveform relaxation method for initial-value problems via the diagonalization technique 4
Refined saddle-point preconditioners for discretized Stokes problems 4
Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes 4
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes 4
Complete radiation boundary conditions for the Helmholtz equation I: waveguides 4
Spectral analysis of discrete elliptic operators and applications in control theory 4
Unconditional stability and convergence of Crank-Nicolson Galerkin FEMs for a nonlinear Schrodinger-Helmholtz system 4
Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem 4
Adaptive BEM with inexact PCG solver yields almost optimal computational costs 3
Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise 3
Nodal finite element de Rham complexes 3
Finite element methods for Darcy's problem coupled with the heat equation 3
A Riemannian inexact Newton-CG method for constructing a nonnegative matrix with prescribed realizable spectrum 3
Convergence rate analysis for the higher order power method in best rank one approximations of tensors 3
Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework 3
Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition 3
A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation 3
Total roto-translational variation 3
Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains 3
Minimal numerical differentiation formulas 3
A random sampling method for a family of Temple-class systems of conservation laws 3
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions 3
On the infinite-dimensional QR algorithm 3