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Mathematical Modelling with Applications in Biosciences and Engineering

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ISBN-10: 1617289442

ISBN-13: 9781617289446

Edition: 2010

Authors: Ioannis Argyos, Mohammad A. Tabatabai, Said Hilout

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Description:

The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. In computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient and iterative methods for finding the solutions of non-linear equations or variational inclusions are presented in this book. Also discussed herein is the study of applications of these methods in engineering and biosciences problems whose formulations are non-linear equations or…    
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Book details

Copyright year: 2010
Publisher: Nova Science Publishers, Incorporated
Publication date: 9/1/2011
Binding: Hardcover
Pages: 361
Size: 7.25" wide x 10.25" long x 0.75" tall
Weight: 1.848
Language: English

Preface
Two-step methods of height efficiency index
Numerical methods under slantly-differentiability
H-convergence
Chebyshev -- Secant -- type methods
Convergence using recurrent functions
?-convergence
Gauss -- Newton method
Convergence on K-normed spaces
Newton's method on spaces with convergence structure
Newton's method & interior point techniques
Finite element methods
Convergence in Riemannian manifolds
Convergence on Lie groups
The shadowing lemma for operators with chaotic behaviour
Conditioning of semi-definite programs
Optimal shape design problems
Variational inequalities
Directional Secant-type methods
Directional Newton-type methods
Directional two-step methods
t-estimation for nonlinear regression models
Tabaistic regression
Hyperbolastic growth models & applications
Bibliography
Glossary of Symbols
Index