On Approximating Extremals of Functionals. Part I: the Method and Examples for Boundary Value Problems
Author | : Donald Greenspan |
Publisher | : |
Total Pages | : 33 |
Release | : 1964 |
ISBN-10 | : OCLC:227330951 |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Download or read book On Approximating Extremals of Functionals. Part I: the Method and Examples for Boundary Value Problems written by Donald Greenspan and published by . This book was released on 1964 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new numerical method for a class of nonlinear boundary value problems is described and a variety of examples are presented to indicate its potential value. The essential idea is to apply finite difference methods to a functional rather than to the Euler differential equation of that functional. Applications are made to problems in minimal surfaces, geodesics, and subsonic flows, which were previously inaccessible. (Author).