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    A Steepest-Ascent Method for Solving Optimum Programming Problems

    Source: Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 002::page 247
    Author:
    A. E. Bryson
    ,
    W. F. Denham
    DOI: 10.1115/1.3640537
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A systematic and rapid steepest-ascent numerical procedure is described for solving two-point boundary-value problems in the calculus of variations for systems governed by a set of nonlinear ordinary differential equations. Numerical examples are presented for minimum time-to-climb and maximum altitude paths for a supersonic interceptor and maximum-range paths for an orbital glider.
    keyword(s): Differential equations , Boundary-value problems AND Computer programming ,
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      A Steepest-Ascent Method for Solving Optimum Programming Problems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/88202
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    contributor authorA. E. Bryson
    contributor authorW. F. Denham
    date accessioned2017-05-08T22:59:56Z
    date available2017-05-08T22:59:56Z
    date copyrightJune, 1962
    date issued1962
    identifier issn0021-8936
    identifier otherJAMCAV-25666#247_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/88202
    description abstractA systematic and rapid steepest-ascent numerical procedure is described for solving two-point boundary-value problems in the calculus of variations for systems governed by a set of nonlinear ordinary differential equations. Numerical examples are presented for minimum time-to-climb and maximum altitude paths for a supersonic interceptor and maximum-range paths for an orbital glider.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Steepest-Ascent Method for Solving Optimum Programming Problems
    typeJournal Paper
    journal volume29
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3640537
    journal fristpage247
    journal lastpage257
    identifier eissn1528-9036
    keywordsDifferential equations
    keywordsBoundary-value problems AND Computer programming
    treeJournal of Applied Mechanics:;1962:;volume( 029 ):;issue: 002
    contenttypeFulltext
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