Abstract
The method of local variations for the numerical solution of variational problems was proposed in [II, developed and generalized in [2-S], and applied to the solution of specific problems in 12-71. This paper presents a number of new results on the development of the method of local variations for the solution of variational problems with partial derivatives. In section I the algorithm of the method for the problem of minimizing a non-additive functional of fairly general form is explained, some generalizations and modifications of the method are presented. In section 2 we give a standard programme of the method of local variations (in the form of procedures in ALGOL 60) for variational problems with a non-additive functional depending on functions of two variables; section 3 is devoted to convergence questions and to estimates of the error of the method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: USSR Computational Mathematics and Mathematical Physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
