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Elliptic Differential Equations Theory and Numerical Treatment /

This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before ad...

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Main Author: Hackbusch, Wolfgang. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2017.
Edition:2nd ed. 2017.
Series:Springer Series in Computational Mathematics, 18
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Numerical analysis.
System theory.
Calculus of variations.
Mathematical physics.
Analysis.
Numerical Analysis.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Theoretical, Mathematical and Computational Physics.
Online Access:https://doi.org/10.1007/978-3-662-54961-2
Table of Contents:
  • 1 Partial Differential Equations and Their Classification Into Types
  • 2 The Potential Equation
  • 3 The Poisson Equation
  • 4 Difference Methods for the Poisson Equation
  • 5 General Boundary Value Problems
  • 6 Tools from Functional Analysis
  • 7 Variational Formulation
  • 8 The Method of Finite Elements
  • 9 Regularity
  • 10 Special Differential Equations
  • 11 Eigenvalue Problems
  • 12 Stokes Equations.

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