Model Development and Optimization: 28 - Rilegato

Ivanov, V.V.

 
9780792356103: Model Development and Optimization: 28

Sinossi

This monograph introduces a novel class of non-linear dynamic mathematical models that makes possible the modelling of problems of analysis and synthesis for a wide class of evolutionary systems. There are potentially unlimited uses of these mathematical models due to the unlimited quantity of different evolutionary systems that can be integrated at many different levels of difficulty. Part I of the book, on the general theory, is mainly devoted to the existence and uniqueness of solutions for the systems of equations of mathematical models and for respective optimization problems. Part II focuses on optimal numerical methods, and Part III presents various applications.

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Contenuti

Preface. Part I: General Theory. 1. Evolutionary systems. 2. Mathematical models of development. 3. Investigation of equations. 4. Investigation of optimization problems. Part II: Optimal Numerical Methods. 5. Solutions of Volterra equations with pre-assigned accuracy. 6. Reduction to Volterra type equations. 7. Some complements. Part III: Introduction to Applications. 8. Reconstruction of economy control (by academician Glushkov). 9. MM of the neo-sphere (by academician Vernadsky). 10. Modeling of foreign currency conversion problems. 11. New technique for simulation of organism subsystems. 12. Modeling of the immune network. 13. MM of HIV, HIV population, and AIDS. 14. More applications of MM of development. Summary. List of abbreviations. List of notations. Subject index. About the author.

Product Description

Book by Ivanov VV

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9781461368199: Model Development and Optimization: 28

Edizione in evidenza

ISBN 10:  1461368197 ISBN 13:  9781461368199
Casa editrice: Springer Nature, 2013
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