Numerical solution of hyperbolic partial differential equations Trangenstein, John Arthur
Material type: BookPublication details: Cambridge: Cambridge University Press, 2009.Description: xxi, 597 p.: ill. ; 26 cm.+ with CDISBN:- 9780521877275
- 518.64 TRA
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Numerical Solution of Hyperbolic Partial Differential Equations 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. Classical techniques for judging the qualitative performance of the schemes, such as modified equation analysis and Fourier analysis, are used to motivate the development of classical higher-order methods (the Lax-Wendroff process) and to prove results such as the Lax Equivalence Theorem. The range of applications is broad enough to engage most engineering disciplines and many areas of applied mathematics--Book Jacket.
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