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http://hdl.handle.net/1942/25935
Title: | The Influence of the Asymptotic Regime on the RS-IMEX | Authors: | KAISER, Klaus SCHUETZ, Jochen |
Issue Date: | 2017 | Publisher: | Springer | Source: | Quintela, Peregrina; Barral, Patricia; Gómez, Dolores; Pena, Francisco J.; Rodríguez, Jerónimo; Salgado, Pilar (Ed.). ECMI 2016: Progress in Industrial Mathematics at ECMI 2016, Springer,p. 55-66 | Series/Report: | Mathematics in Industry | Series/Report no.: | 26 | Abstract: | In this work, we investigate the performance and explore the limits of a novel implicit-explicit splitting [6] for the efficient treatment of singularly perturbed ODEs. We consider a singularly perturbed ODE where, based on the choice of initial conditions, the unperturbed equation does not necessarily describe the behavior of the perturbed one accurately. For the splitting presented in [6], this has a tremendous influence as it explicitly depends on the solution to the unperturbed equation. That this indeed poses a problem is shown numerically; but also the remedy of using the ’correct’ asymptotics is presented. Comparisons with a fully implicit and a standard implicit-explicit splitting are shown. | Document URI: | http://hdl.handle.net/1942/25935 | ISBN: | 9783319630816 | DOI: | 10.1007/978-3-319-63082-3_7 | Category: | C1 | Type: | Proceedings Paper |
Appears in Collections: | Research publications |
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kaiser_schuetz.pdf | Peer-reviewed author version | 534.47 kB | Adobe PDF | View/Open |
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