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Part of the book series: Scientific Computation ((SCIENTCOMP))

Abstract

In Section 4.4 we introduced the concept of the representative equation and used it in Chapter 7 to study the stability, accuracy, and convergence properties of time-marching schemes. The question is: Can we find a similar equation that will allow us to evaluate the stability and convergence properties of split and factored schemes? The answer is yes — for certain forms of linear model equations.

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© 2001 Springer-Verlag Berlin Heidelberg

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Lomax, H., Pulliam, T.H., Zingg, D.W. (2001). Analysis of Split and Factored Forms. In: Fundamentals of Computational Fluid Dynamics. Scientific Computation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04654-8_13

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  • DOI: https://doi.org/10.1007/978-3-662-04654-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07484-4

  • Online ISBN: 978-3-662-04654-8

  • eBook Packages: Springer Book Archive

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