𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multidimensional hyperbolic partial differential equations: first-order systems and applications

✍ Scribed by Sylvie Benzoni-Gavage, Denis Serre

Book ID
127419872
Publisher
Clarendon Press
Year
2007
Tongue
English
Weight
2 MB
Series
Oxford mathematical monographs
Category
Library
City
Oxford; New York
ISBN
019921123X

No coin nor oath required. For personal study only.

✦ Synopsis

Authored by leading scholars, this comprehensive, self-contained text presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. Ordered in sections of gradually increasing degrees of difficulty, the text first covers linear Cauchy problems and linear initial boundary value problems, before moving on to nonlinear problems, including shock waves. The book finishes with a discussion of the application of hyperbolic PDEs to gas dynamics, culminating with the shock wave analysis for real fluids. With an extensive bibliography including classical and recent papers both in PDE analysis and in applications (mainly to gas dynamics), this text will be valuable to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.

📜 SIMILAR VOLUMES

Third-order methods for first-order hype
Third-order methods for first-order hyperbolic partial differential equations
✍ Cheema, T. A. ;Taj, M. S. A. ;Twizell, E. H. 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 102 KB

## Abstract In this paper numerical methods for solving first‐order hyperbolic partial differential equations are developed. These methods are developed by approximating the first‐order spatial derivative by third‐order finite‐difference approximations and a matrix exponential function by a third‐o

Numerical solution of first-order hyperb
Numerical solution of first-order hyperbolic partial differential-difference equation with shift
✍ Paramjeet Singh; Kapil K. Sharma 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 167 KB

## Abstract In this article, we continue the numerical study of hyperbolic partial differential‐difference equation that was initiated in (Sharma and Singh, __Appl Math Comput__ 201(2008), 229–238). In Sharma and Singh, the authors consider the problem with sufficiently small shift arguments. The t