Partitioned Krylov subspace iteration in implicit Runge–Kutta methods
نویسندگان
چکیده
منابع مشابه
Krylov subspace iteration
In the simulation of continuous events, such as the ow of a uid through a pipe, or the ow of air around an aircraft, one usually imposes a grid over the area of interest and one restricts oneself to the computation of relevant parameters, for instance the pressure or the velocity of the ow or the temperature, in the gridpoints. Physical laws lead to approximate relations between these parameter...
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Abstract. This paper presents a modification of Krylov subspace spectral (KSS) methods, which build on the work of Golub, Meurant and others, pertaining to moments and Gaussian quadrature to produce high-order accurate approximate solutions to variable-coefficient time-dependent PDEs. Whereas KSS methods currently use Lanczos iteration to compute the needed quadrature rules, our modification us...
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Stationary inner iterations in combination with Krylov subspace methods are proposed for least squares problems. The inner iterations are efficient in terms of computational work and memory, and serve as powerful preconditioners also for ill-conditioned and rank-deficient least squares problems. Theoretical justifications for using the inner iterations as preconditioners are presented. Numerica...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2009
ISSN: 0024-3795
DOI: 10.1016/j.laa.2009.03.015