Introduction to Partial Differential Equations A Computational Approach

“It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in...

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Bibliographic Details
Main Authors: Tveito, Aslak, Winther, Ragnar (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 1998, 1998
Edition:1st ed. 1998
Series:Texts in Applied Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Setting the Scene
  • Two-Point Boundary Value Problems
  • The Heat Equation
  • Finite Difference Schemes For The Heat Equation
  • The Wave Equation
  • Maximum Principles
  • Poisson’s Equation in Two Space Dimensions
  • Orthogonality and General Fourier Series
  • Convergence of Fourier Series
  • The Heat Equation Revisited
  • Reaction-Diffusion Equations
  • Applications of the Fourier Transform