Variational Methods

Prem K. Kythe and Pratap Puri
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Prem K. Kythe: University of New Orleans
Pratap Puri: University of New Orleans, Department of Mathematics

Chapter 5 in Computational Methods for Linear Integral Equations, 2002, pp 130-145 from Springer

Abstract: Abstract The variational formulation of boundary value problems originates from the fact that weighted variational methods provide approximate solutions of such problems. Variational methods for solving boundary value problems are based on the techniques developed in the calculus of variations. They deal with the problem of minimizing a functional, and thus reducing the given problem to solving a system of algebraic equations. Conversely, a boundary value problem can be formulated as a minimizing problem. The methods developed in solving these boundary value problems are also applicable to integral equations. We discuss them in this chapter.

Date: 2002
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DOI: 10.1007/978-1-4612-0101-4_5

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