Numerical Solution of Hyperbolic Partial Differential Equations

Download or read book Numerical Solution of Hyperbolic Partial Differential Equations written by John A. Trangenstein and published by Cambridge University Press. This book was released on 2009-09-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, with both print and interactive electronic components (on CD). It is a comprehensive presentation of modern shock-capturing methods, including both finite volume and finite element methods, covering the theory of hyperbolic conservation laws and the theory of the numerical methods. The range of applications is broad enough to engage most engineering disciplines and many areas of applied mathematics. Classical techniques for judging the qualitative performance of the schemes are used to motivate the development of classical higher-order methods. The interactive CD gives access to the computer code used to create all of the text's figures, and lets readers run simulations, choosing their own input parameters; the CD displays the results of the experiments as movies. Consequently, students can gain an appreciation for both the dynamics of the problem application, and the growth of numerical errors.