Partial Differential Equations with Numerical Methods

Released on by Stig Larsson
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  • Partial Differential Equations with Numerical Methods Book Detail

  • Author : Stig Larsson
  • Release Date : 2008-12-05
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 263
  • ISBN 13 : 3540887059
  • File Size : 42,42 MB
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Partial Differential Equations with Numerical Methods by Stig Larsson PDF Summary

Book Description: The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.

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Partial Differential Equations

Partial Differential Equations

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A fresh, forward-looking undergraduate textbook that treats the finite element method and classical Fourier series method with equal emphasis.