Finite Difference Methods for Ordinary and Partial Differential Equations

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  • Finite Difference Methods for Ordinary and Partial Differential Equations Book Detail

  • Author : Randall J. LeVeque
  • Release Date : 2007-01-01
  • Publisher : SIAM
  • Genre : Mathematics
  • Pages : 356
  • ISBN 13 : 9780898717839
  • File Size : 48,48 MB

Finite Difference Methods for Ordinary and Partial Differential Equations by Randall J. LeVeque PDF Summary

Book Description: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

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