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Model Development and Optimization : Applied Optimization - V. V. Ivanov

Model Development and Optimization

Applied Optimization

Hardcover Published: December 2009
ISBN: 9780792356103
Number Of Pages: 250

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This monograph introduces a novel class of non-linear dynamic mathematical models that makes possible the modeling 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. Audience: Researchers, decision-makers, and students of applied mathematics, especially those with an interest in applications to economics, ecology, biology, immunology, medicine and health care.

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.

ISBN: 9780792356103
ISBN-10: 0792356101
Series: Applied Optimization
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 250
Published: December 2009
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.22