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Numerical Solution of Partial Differential Equations : Finite Difference Methods / G. D. Smith

By: Material type: TextTextLanguage: English Series: Oxford Applied Mathematics and Computing Science SeriesPublication details: New York : Oxford University Press, 2010.Edition: 3rd edDescription: xi, 336 p.: ill.; 22cmISSN:
  • 9780198596509
Subject(s): DDC classification:
  • 23 515.3 SMI
Summary: Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition, the application of Pade approximants to systems of ordinary differential equations for parabolic and hyperbolic equations, and a considerably improved presentation of iterative methods. A fast-paced introduction to numerical methods, this will be a useful volume for students of mathematics and engineering, and for postgraduates and professionals who need a clear, concise grounding in this discipline.
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Item type Current library Collection Call number Status Barcode
General Books General Books CUTN Central Library Sciences Non-fiction 515.3 SMI (Browse shelf(Opens below)) Available 51062

Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition, the application of Pade approximants to systems of ordinary differential equations for parabolic and hyperbolic equations, and a considerably improved presentation of iterative methods. A fast-paced introduction to numerical methods, this will be a useful volume for students of mathematics and engineering, and for postgraduates and professionals who need a clear, concise grounding in this discipline.

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