Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics /
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 ordinar...
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| Format: | eBook |
| Language: | English |
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Dordrecht :
Springer Netherlands,
2003.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 228 pages) |
| ISBN: | 9789401725378 (electronic bk.) 9401725373 (electronic bk.) |