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Anita, Sebastian; Arnutu, Viorel; Capasso, Vincenzo

An Introduction to Optimal Control Problems in Life Sciences and Economics From Mathematical Models to Numerical Simulation with MATLAB® (Gebundene Ausgabe)


Reihe: Modeling and Simulation in Science, Engineering and Technology

Springer Basel AG, Birkhäuser Boston, November 2010


232 S. - Sprache: Englisch - 45 schwarz-weiße und 45 farbige Abbildungen - 242x163x25 mm

ISBN: 0817680977 EAN: 9780817680978

Combining control theory and modeling, this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems. An elementary presentation of advanced concepts, proofs to introduce new ideas, and carefully presented MATLAB® programs help foster an understanding of the basics, but also lead the way to new, independent research.With minimal prerequisites and exercises in each chapter, this work serves as an excellent textbook and reference for graduate and advanced undergraduate students, researchers, and practitioners in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance.


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Produktdetails

An introduction to the main tools of MATLAB, as well as programs that move from relatively simple ODE applications to more complex PDE modelsNumerous applications to a wide range of subject areas, including HIV and insulin treatments, population dynamics, and stock managementExploration of cutting-edge topics in later chapters designed to stimulate further research and theses projectsExercises in each chapter

Inhaltsverzeichnis

An Introduction to MATLAB. Elementary Models with Applications.- Optimal Control of Ordinary Differential Systems. Optimality Conditions.- Optimal Control of Ordinary Differential Systems. Gradient Methods.- Optimal Harvesting for Age-Structured Population.- Optimal Control of Diffusive Models.- Appendices.- References.- Index.

Über den Autor

Sebastian Anita is Full Professor on the Faculty of Mathematics at the University "Al.I. Cuza" Iasi, Romania. His research interests include: optimal control of partial differential equations; mathematical biology; mathematical models in the applied sciences; and industrial problems in the areas of heat transfer and materials science. Professor Anita is the author of more than 50 scientific papers in refereed international journals, one monograph, and three textbooks.Viorel Arnautu is Full Professor on the Faculty of Mathematics at the University "Al.I. Cuza" Iasi, Romania. His research interests include: numerical methods (theory, algorithms and computer programs) for optimal control problems; numerical methods for Hamilton-Jacobi equations; numerical methods for PDEs and integral equations; and applications to free boundary problems, epidemic models, optimization of plates, laser hardening of steel, 3-D curved mechanical structures, and population dynamics. Professor Arnautu is the author of more than 30 scientific papers in refereed international journals, one monograph, and one textbook.Vincenzo Capasso is Professor of Probability and Mathematical Statistics at the University of Milano, Italy. He is the Founder and Director of MIRIAM (Milan Research Centre for Industrial and Applied Mathematics) and later of ADAMSS (Research Centre for Advanced Applied Mathematical and Statistical Sciences) at the University of Milan. His research interests include: spatially structured stochastic processes; stochastic geometry; reaction-diffusion systems; statistics of structured stochastic processes; and applications to biology, medicine, and industrial problems. Professor Capasso is the author of more than 150 scientific papers and approximately 10 monographs, edited books, and textbooks by international scientific publishing companies.

Kritikerstimmen

From the reviews: [T]his is an interesting and useful textbook that introduces the reader to methods of optimal control through easily accessible exercises. It is possible to read the book with no knowledge of MATLAB and only some basic knowledge of calculus, which makes most parts truly accessible to undergraduate students. -SIAM "This is an interesting and useful textbook that introduces the reader to methods of optimal control through easily accessible exercises. It is possible to read the book with no knowledge of MATLAB and only some basic knowledge of calculus, which makes most parts truly accessible to undergraduate students."­­­ (Urszula Ledzewicz, SIAM Review, Vol. 53 (4), 2011) "This book is a guide for those interested in solving real world optimal control problems, including both the theoretical analysis of their mathematical models and suitable computer programs for numerical simulation. The book is self-contained. ... An extensive reference list and an index are also included. The book is intended for graduate students and researchers in mathematics, biology, economics, engineering, and other fields." (Gheorghe Morosanu, Zentralblatt MATH, Vol. 1206, 2011)


ISBN 0-817680-97-7, ISBN 0-81-768097-7, ISBN 0-81768-097-7, ISBN 0-817-68097-7, ISBN 0-8176-8097-7

ISBN 978-0-817680-97-8, ISBN 978-0-81-768097-8, ISBN 978-0-81768-097-8, ISBN 978-0-817-68097-8, ISBN 978-0-8176-8097-8

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