Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

Author:   V.I. Shalashilin ,  E. B. Kuznetsov
Publisher:   Springer-Verlag New York Inc.
Edition:   2003 ed.
ISBN:  

9781402015427


Pages:   228
Publication Date:   30 September 2003
Format:   Hardback
Availability:   Out of stock   Availability explained
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Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics


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Overview

In this text the authors consider the best parameterization for nonlinear algebraic or transcendental equations, initial value or Cauchy problems for ordinary differential equations (ODEs), including stiff systems, differential-algebraic equations, functional-differential equations, the problems of interpolation and approximation of curves and for nonlinear boundary-value problems for ODEs with a parameter. They also consider the best parameterization for analysing the behaviour of solutions near singular points. The text should prove to be of interest to scientists, specialists and postgraduate students working in the field of applied and numerical mathematics and mechanics.

Full Product Details

Author:   V.I. Shalashilin ,  E. B. Kuznetsov
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2003 ed.
Dimensions:   Width: 16.00cm , Height: 1.80cm , Length: 24.00cm
Weight:   0.527kg
ISBN:  

9781402015427


ISBN 10:   1402015429
Pages:   228
Publication Date:   30 September 2003
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. Nonlinear Equations with a Parameter.- 2. The Cauchy Problem for Ordinary Differential Equations.- 3. Stiff Systems of Ordinary Differential Equations.- 4. Differential — Algebraic Equations.- 5. Functional — Differential Equations.- 6. The Parametric Approximation.- 7. Nonlinear Boundary Value Problems for Ordinary Differential Equations.- 8. Continuation of the Solution near Singular Points.- References.

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