Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

Editorial Reviews
Book 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.

Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics,V.I. Shalashilin,E.B. Kuznetsov,Springer,1402015429,Applied,Continuation methods,Differential Equations,Differential equations, Nonlin,Differential equations, Nonlinear,Mathematical Analysis,Mathematics,Science/Mathematics,Mathematics / Differential Equations

Books Review:

1. Partial Differential Equations : Analytical Solution Techniques (Texts in Applied Mathematics)
2. Plasticity : A Treatise on Finite Deformation of Heterogeneous Inelastic Materials (Cambridge Monographs on Mechanics)
3. Power System Analysis: Short-Circuit Load Flow and Harmonics (Power Engineering)
4. Practical Problems in Mathematics for Electricians, 6E (Delmar's Practical Problems in Mathematics Series)
5. Practical Problems in Mathematics for the Emergency Services
6. Rational and Nearly Rational Varieties (Cambridge Studies in Advanced Mathematics)
7. Receding Horizon Control : Model Predictive Control for State Models (Advanced Textbooks in Control and Signal Processing)
8. Regular Complex Polytopes
9. Scientific Computing and Differential Equations : An Introduction to Numerical Methods
10. Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control (Progress in Nonlinear Differential Equations and Their Applications)

Books Review

Recommended Books

1. America's Cup 1851-1992
2. Supplies
3. Guitar Licks of the Texas Blues-Rock Heroes
4. Analyzing Categorical Data
5. Financial Accounting DataBase/Disk
6. Isozymes in Plant Genetics and Breeding : Part B
7. Immunochemical Techniques, Part M: Chemotaxis and Inflammation, Volume 163 : Volume 163: Immunochemi
8. Kummer's Quartic Surface
9. Scraps : Adventures in Scrapbooking
10. Primal Tears
11. Lebanese Food
12. Low-Water-Use Plants for California & the Southwest
13. Practical Parenting
14. Power in Movement : Social Movements and Contentious Politics
15. Moose Caribou and Musk Ox