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Numerical solution of hyperbolic partial differential equations Trangenstein, John Arthur

By: Material type: BookBookPublication details: Cambridge: Cambridge University Press, 2009.Description: xxi, 597 p.: ill. ; 26 cm.+ with CDISBN:
  • 9780521877275
Subject(s): DDC classification:
  • 518.64 TRA
List(s) this item appears in: Mathematics [CDs alongwith Books] | Mathematics
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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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