[{"type":"thesis","title":"Rational Krylov subspace methods for phi-functions in exponential integrators","issued":{"date-parts":[["2014"]]},"DOI":"10.5445\/IR\/1000043647","genre":"Dissertation","author":[{"family":"G\u00f6ckler","given":"Tanja"}],"publisher":"KIT","publisher-place":"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.","keyword":"Krylov subspace methods, rational approximation, phi-functions, exponential integrators","kit-publication-id":"1000043647"}]