@phdthesis{Goeckler2014_1000043647,
author = {G{\"{o}}ckler, Tanja},
year = {2014},
title = {Rational Krylov subspace methods for phi-functions in exponential integrators},
doi = {10.5445/IR/1000043647},
publisher = {{KIT, Karlsruhe}},
abstract = {Exponential integrators are a class of numerical methods for stiff systems of differential equations which require the computation of products of so-called matrix phi-functions and vectors. In this thesis, we consider the approximation of these matrix functions times some vector by rational and extended Krylov subspace methods. For arbitrary matrices with a field of values in the left complex half-plane, a uniform approximation is obtained that predicts a sublinear convergence.},
keywords = {Krylov subspace methods, rational approximation, phi-functions, exponential integrators},
language = {english}
}