Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics
By: by V. I. Shalashilin, E. B. Kuznetsov
Contributors: Kuznetsov, E. B.
Publisher: Springer Netherlands
Published: 2003
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 228
ISBN-13: 9789048163915; 9789401725378
Subjects: Differential Equations; Mathematics; Integral equations; Computer science; Mechanics
Description: 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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