Abstract
The stability regions of difference schemes approximating systems of linear partial differential equations are automatically obtained by using the Computer algebra system REDUCE and numerical methods for polynomial roots location. The stability analysis is performed by the Fourier method and polynomial root location is based on the Routh algorithm. Several practical examples show the usefulness of the programs described.
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© 1989 Springer-Verlag New York Inc.
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Ganzha, V.G., Liska, R. (1989). Application of the REDUCE Computer Algebra System to Stability Analysis of Difference Schemes. In: Kaltofen, E., Watt, S.M. (eds) Computers and Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9647-5_15
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DOI: https://doi.org/10.1007/978-1-4613-9647-5_15
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