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Eine Variante Des Zweischritt-Lax-Wendroff-Verfahrens

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Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 333))

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Zusammenfassung

Zur numerischen Behandlung des Anfangswertproblems in beliebig vielen Ortsveränderlichen für Systeme linearer hyperbolischer Differentialgleichungen 1. Ordnung wird in Abhängigkeit eines reellen Parameters eine Schar von Differenzenverfahren 2. Ordnung untersucht. Als Spezialfall ist die von Richtmyer angegebene Version des Lax-Wendroff-Verfahrens enthalten. Es wird ein Kriterium angegeben, das die Konvergenz der Verfahren garantiert und für eine gewisse Klasse auch physikalisch interessanter Probleme sogar notwendig für die Konvergenz ist. Der Zusammenhang zur Courant-Friedrichs-Lewy-Bedingung wird hergestellt.

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6. Literaturverzeichnis

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Authors
  1. Hans-Werner Meuer
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R. Ansorge W. Törnig

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© 1973 Springer-Verlag

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Meuer, HW. (1973). Eine Variante Des Zweischritt-Lax-Wendroff-Verfahrens. In: Ansorge, R., Törnig, W. (eds) Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen. Lecture Notes in Mathematics, vol 333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060697

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  • DOI: https://doi.org/10.1007/BFb0060697

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06378-0

  • Online ISBN: 978-3-540-46986-5

  • eBook Packages: Springer Book Archive

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