Recent advances in Krylov subspace spectral methods
نویسندگان
چکیده
منابع مشابه
Recent Advances in Krylov Subspace Spectral Methods
This paper reviews the main properties, and most recent developments, of Krylov subspace spectral (KSS) methods for time-dependent variable-coefficient PDE. These methods use techniques developed by Golub and Meurant for approximating elements of functions of matrices by Gaussian quadrature in the spectral domain in order to achieve high-order accuracy in time and stability characteristic of im...
متن کاملStability of Krylov Subspace Spectral Methods
This talk summarizes recent analysis of an alternative approach to the solution of diffusion problems and wave propagation problems in the variable-coefficient case that leads to a new class of numerical methods, called Krylov subspace spectral methods [3]. The basic idea behind these methods, applied to a PDE of the form du/dt + L(x,D)u = 0, is to use Gaussian quadrature in the spectral domain...
متن کاملPractical Implementation of Krylov Subspace Spectral Methods
Krylov subspace spectral methods have been shown to be high-order accurate in time and more stable than explicit time-stepping methods, but also more difficult to implement efficiently. This paper describes how these methods can be fashioned into practical solvers by exploiting the simple structure of differential operators Numerical results concerning accuracy and efficiency are presented for ...
متن کاملRecent computational developments in Krylov subspace methods for linear systems
Many advances in the development of Krylov subspace methods for the iterative solution of linear systems during the last decade and a half are reviewed. These new developments include different versions of restarted, augmented, deflated, flexible, nested, and inexact methods. Also reviewed are methods specifically tailored to systems with special properties such as special forms of symmetry and...
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ژورنال
عنوان ژورنال: PAMM
سال: 2007
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200701096