On Adaptive Choice of Shifts in Rational Krylov Subspace Reduction of Evolutionary Problems

We compute $u(t)=\exp(-tA)\varphi$ using rational Krylov subspace reduction for $0\leq t<\infty$, where $u(t),\varphi\in\mathbf{R}^N$ and $0<A=A^*\in\mathbf{R}^{N\times N}$. A priori optimization of the rational Krylov subspaces for this problem was considered in [V. Druskin, L. Knizhnerman, a...

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Bibliographic Details
Main Authors: Druskin, Vladimir, Lieberman, Chad E., Zaslavsky, Mikhail
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:en_US
Published: Society of Industrial and Applied Mathematics (SIAM) 2011
Online Access:http://hdl.handle.net/1721.1/60578