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Partial differential equations with numerical methods /

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Bibliographic Details
Main Author: Larsson, S. (Stig), 1952-
Other Authors: Thomée, Vidar, 1933-
Format: Book
Language:English
Published: Berlin ; New York : Springer, ©2003.
Series:Texts in applied mathematics ; 43.
Subjects:
Differential equations, Partial > Numerical solutions.
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.