Generalized Euler method for nonlinear first order partial differential equations

• Published in: Нелінійні коливання
• Date: 2003
• Main Authors: Kamont, Z., Newlin-Łukowicz, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/176989
• 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.

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 pro...