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Partial differential equations with numerical methods /

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The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text con...

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Bibliographic Details
Main Author: Larsson, S. (Stig), 1952-
Corporate Author: SpringerLink (Online service)
Other Authors: Thomée, Vidar, 1933-
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [2003]
Series:Texts in applied mathematics ; 43.
Subjects:
Differential equations, Partial > Numerical solutions.
Équations aux dérivées partielles > Solutions numériques.
Partielle Differentialgleichung.
Numerisches Verfahren.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • A two-point boundary value problem
  • Elliptic equations
  • Finite difference methods for elliptic equations
  • Finite element methods for elliptic equations
  • The elliptic eigenvalue problem
  • Initial-value problems for ODEs
  • Parabolic equations
  • Finite difference methods for parabolic problems
  • The finite element method for a parabolic problem
  • Hyperbolic equations
  • Finite difference methods for hyperbolic equations
  • The finite element method for hyerbolic equations
  • Some other classes of numerical methods
  • Some tools from mathematical analysis
  • Orientation on numerical linear algebra.