On Approximating Extremals of Functionals. Part I: the Method and Examples for Boundary Value Problems

On Approximating Extremals of Functionals. Part I: the Method and Examples for Boundary Value Problems
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Total Pages : 33
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ISBN-10 : OCLC:227330951
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Book Synopsis On Approximating Extremals of Functionals. Part I: the Method and Examples for Boundary Value Problems by : Donald Greenspan

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).


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