Mathematical Modelling with Applications in Biosciences and Engineering
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 variational inequalities.
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| Preface | |
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| Two-step methods of height efficiency index | |
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| Numerical methods under slantly-differentiability | |
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| H-convergence | |
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| Chebyshev -- Secant -- type methods | |
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| Convergence using recurrent functions | |
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| ?-convergence | |
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| Gauss -- Newton method | |
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| Convergence on K-normed spaces | |
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| Newton's method on spaces with convergence structure | |
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| Newton's method & interior point techniques | |
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| Finite element methods | |
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| Convergence in Riemannian manifolds | |
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| Convergence on Lie groups | |
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| The shadowing lemma for operators with chaotic behaviour | |
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| Conditioning of semi-definite programs | |
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| Optimal shape design problems | |
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| Variational inequalities | |
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| Directional Secant-type methods | |
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| Directional Newton-type methods | |
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| Directional two-step methods | |
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| t-estimation for nonlinear regression models | |
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| Tabaistic regression | |
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| Hyperbolastic growth models & applications | |
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| Bibliography | |
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| Glossary of Symbols | |
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| Index | |
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List price: |
$145.00
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Edition:
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2010
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Publisher:
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Nova Science Publishers, Incorporated
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Binding:
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Trade Cloth
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Pages:
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361
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Size:
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7.25" wide x 10.25" long x 0.75" tall
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Weight:
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1.85 lbs.
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Language:
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English
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