| 書目名稱 | Optimization Methods | | 編輯 | Henning Tolle | | 視頻video | http://file.papertrans.cn/704/703144/703144.mp4 | | 叢書名稱 | Universitext | | 圖書封面 |  | | 描述 | Variational problems which are interesting from physical and technical viewpoints are often supplemented with ordinary differential equations as constraints, e. g. , in the form of Newton‘s equations of motion. Since analytical solutions for such problems are possible only in exceptional cases and numerical treat- ment of extensive systems of differential equations formerly caused computational difficulties, in the classical calculus of variations these problems have generally been considered only with respect to their theoretical aspects. However, the advent of digital computer installations has enabled us, approximately since 1950, to make more practical use of the formulas provided by the calculus of variations, and also to proceed from relationships which are oriented more numerically than analytically. This has proved very fruitful since there are areas, in particular, in automatic control and space flight technology, where occasionally even relatively small optimization gains are of interest. Further on, if in a problem we have a free function of time which we may choose as advantageously as possible, then determination of the absolutely optimal course of this function appear | | 出版日期 | Book 1975 | | 關(guān)鍵詞 | Optimization; Planungsrechnung; Variationsrechnung; calculus; differential equation; equation; function | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-87731-5 | | isbn_ebook | 978-3-642-87731-5Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag New York Inc. 1975 |
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