Method of Characteristics

Marcelo R. Ebert and Michael Reissig
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Marcelo R. Ebert: University of São Paulo, Department of Computing and Mathematics
Michael Reissig: TU Bergakademie Freiberg, Institute of Applied Analysis

Chapter Chapter 6 in Methods for Partial Differential Equations, 2018, pp 57-68 from Springer

Abstract: Abstract The method of characteristicsmethod of characteristics is applied in studying general quasilinear partial differential equations of first order sich as, for example, convection or transport equations. It is shown how the notion of characteristics allows for reducing the considerations to those for nonlinear systems of ordinary differential equations. An application to the continuity equation describing mass conservation completes this chapter.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-66456-9_6

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DOI: 10.1007/978-3-319-66456-9_6

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