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Equations of hyperbolic type

  • Luca Formaggia
  • Fausto Saleri
  • Alessandro Veneziani
Part of the UNITEXT book series (UNITEXT)

Abstract

In this chapter we deal with a typical class of problems arising from conservation laws, that is evolution problems of hyperbolic type involving either pure-advection phenomena or advection-reaction ones. We will focus mainly on linear problems in one spatial dimension. The non-linear counterparts of these problems have a great interest in several contexts, but are characterized by specific aspects that go beyond the scope of this text. An excellent introduction to this subject is the book of LeVeque [ LeV90], with the accompanying software library ClawPack (see also [ LeV02]).

Keywords

Numerical Scheme Characteristic Variable Characteristic Line Strong Stability Euler Scheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag Italia 2012

Authors and Affiliations

  • Luca Formaggia
    • 1
  • Fausto Saleri
    • 1
  • Alessandro Veneziani
    • 2
  1. 1.MOX — Dipartimento di Matematica “F. Brioschi”Politecnico di MilanoItaly
  2. 2.Department of Mathematics and Computer ScienceEmory UniversityAtlantaUSA

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