Exponential multistep methods of Adams-type |
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| Authors: | Marlis Hochbruck Alexander Ostermann |
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| Affiliation: | 1.Institut für Angewandte und Numerische Mathematik,Karlsruher Institut für Technologie,Karlsruhe,Germany;2.Institut für Mathematik,Universit?t Innsbruck,Innsbruck,Austria |
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| Abstract: | The paper is concerned with the construction, implementation and numerical analysis of exponential multistep methods. These methods are related to explicit Adams methods but, in contrast to the latter, make direct use of the exponential and related matrix functions of a (possibly rough) linearization of the vector field. This feature enables them to integrate stiff problems explicitly in time. |
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