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An Effective Numerical Method for Linear Mode Conversion Problems

Bellan, P. M. (1997) An Effective Numerical Method for Linear Mode Conversion Problems. Journal of Computational Physics, 136 (2). pp. 654-659. ISSN 0021-9991. https://resolver.caltech.edu/CaltechAUTHORS:20171027-144728127

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Abstract

Linear mode conversion, an important issue in the physics of plasma waves, involves an ordinary differential equation of at least fourth order. Attempts to integrate this differential equation using conventional numerical methods typically fail to provide a physically sensible result. This failure occurs because small, unavoidable truncation and differencing errors excite nonphysical, mathematically allowed exponentially growing solutions which quickly overwhelm the desired physical solution. We present here a two-point boundary numerical method which avoids exciting these unwanted nonphysical solutions and so provides solutions that are physically significant. The numerical algorithm is a generalization of the standard tridiagonal method and provides single-pass solutions which satisfy the original difference equations to within the numerical accuracy of the computer.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1006/jcph.1997.5792DOIArticle
http://www.sciencedirect.com/science/article/pii/S0021999197957922PublisherArticle
ORCID:
AuthorORCID
Bellan, P. M.0000-0002-0886-8782
Additional Information:© 1997 Academic Press. Received 9 May 1997.
Issue or Number:2
Record Number:CaltechAUTHORS:20171027-144728127
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171027-144728127
Official Citation:P.M. Bellan, An Effective Numerical Method for Linear Mode Conversion Problems, In Journal of Computational Physics, Volume 136, Issue 2, 1997, Pages 654-659, ISSN 0021-9991, https://doi.org/10.1006/jcph.1997.5792. (http://www.sciencedirect.com/science/article/pii/S0021999197957922)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82750
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Oct 2017 21:56
Last Modified:03 Oct 2019 18:58

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