Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics - Hardcover

Shalashilin, V.I.; Kuznetsov, E. B.

Hardcover

ISBN 10: 1402015429 ISBN 13: 9781402015427

Publisher: Kluwer Academic Publishers, 2003

Synopsis

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.

About this title

Synopsis

The optimal continuation parameter provides the best conditions in a linearized system of equations at any moment of the continuation process. In this book 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 analyzing the behavior of solutions near singular points. "Parametric Continuation and Optimal Parametrization" is one of the first books in which the best parametrization is regarded systematically for a wide class of problems. It is of interest to scientists, specialists and postgraduate students working in the field of applied and numerical mathematics and mechanics.

Edition details

• Publisher: Kluwer Academic Publishers
• Publication date: 2003
• Language: English
• ISBN 10: 1402015429
• ISBN 13: 9781402015427
• Binding: Hardcover
• Number of pages: 236