Generalized Euler method for nonlinear first order partial differential equations

Classical solutions of nonlinear first order partial differential equations are approximated in the paper by solutions of quasilinear systems of difference equations. Sufficient conditions for the convergence of the method are given. The proof of the stability of the difference problem is based on...

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Bibliographic Details
Date:2003
Main Authors: Kamont, Z., Newlin-Łukowicz, J.
Format: Article
Language:English
Published: Інститут математики НАН України 2003
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/176989
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Generalized Euler method for nonlinear first order partial differential equations / Z. Kamont, J. Newlin-Łukowicz // Нелінійні коливання. — 2003. — Т 6, № 4. — С. 456-474. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine