A NUMERICAL-ANALYTICAL APPROACH TO THE SOLUTION OF THE BOUNDARY-VALUEPROBLEM OF THE MAXIMUM PRINCIPLE OF PONTRYAGIN

Authors
BULYCHEV YG MANIN AA
Citation
Yg. Bulychev et Aa. Manin, A NUMERICAL-ANALYTICAL APPROACH TO THE SOLUTION OF THE BOUNDARY-VALUEPROBLEM OF THE MAXIMUM PRINCIPLE OF PONTRYAGIN, Journal of computer & systems sciences international, 37(2), 1998, pp. 276-284
Citations number
10
Categorie Soggetti
Computer Science Theory & Methods","Computer Science Artificial Intelligence","Computer Science Cybernetics","Computer Science Theory & Methods","Computer Science Artificial Intelligence","Computer Science Cybernetics
Journal title
Journal of computer & systems sciences international → ACNP
ISSN journal
10642307
Volume
37
Issue
2
Year of publication
1998
Pages
276 - 284
Database
ISI
SICI code
1064-2307(1998)37:2<276:ANATTS>2.0.ZU;2-3
Abstract
On the basis of the well-known method of reference integral curves, a new numerical-analytical approach to solving the boundary-value proble m of the maximum principle of Pontryagin is developed. The suggested a pproach allows one to obtain an approximate analytical solution to a b oundary-value problem with a given accuracy and does not require repea ted cumbersome computations associated with multiple numerical solutio ns of Cauchy problems with modified boundary conditions.