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Solution Techniques for Implicit Spectral Equations

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Spectral Methods in Fluid Dynamics

Part of the book series: Springer Series in Computational Physics ((SCIENTCOMP))

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Abstract

The solution of implicit equations is an important component of many spectral algorithms. For steady problems this task is unavoidable, while spectral algorithms for many unsteady problems are only feasible if they incorporate implicit (or semi-implicit) time discretizations (see Sec. 3.1 and Chap. 7). We concentrate on linear systems, assuming that non-linear ones are attacked by standard linearization techniques.

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© 1988 Springer-Verlag Berlin Heidelberg

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Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A. (1988). Solution Techniques for Implicit Spectral Equations. In: Spectral Methods in Fluid Dynamics. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84108-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-84108-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52205-8

  • Online ISBN: 978-3-642-84108-8

  • eBook Packages: Springer Book Archive

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