Ordinary Differential Equations and Integral Equations: Volume 6 - Brossura

Baker, C.T. H.

Brossura

ISBN 10: 0444506004 ISBN 13: 9780444506009

Casa editrice: North Holland, 2001

Riassunto

/homepage/sac/cam/na2000/index.html 7-Volume Set now available at special set price! This volume contains contributions in the area of differential equations and integral equations. Many numerical methods have arisen in response to the need to solve 'real-life' problems in applied mathematics, in particular problems that do not have a closed-form solution. Contributions on both initial-value problems and boundary-value problems in ordinary differential equations appear in this volume. Numerical methods for initial-value problems in ordinary differential equations fall naturally into two classes: those which use one starting value at each step (one-step methods) and those which are based on several values of the solution (multistep methods). John Butcher has supplied an expert's perspective of the development of numerical methods for ordinary differential equations in the 20th century. Rob Corless and Lawrence Shampine talk about established technology, namely software for initial-value problems using Runge-Kutta and Rosenbrock methods, with interpolants to fill in the solution between mesh-points, but the 'slant' is new - based on the question, 'How should such software integrate into the current generation of Problem Solving Environments?' Natalia Borovykh and Marc Spijker study the problem of establishing upper bounds for the norm of the n th power of square matrices. The dynamical system viewpoint has been of great benefit to ODE theory and numerical methods. Related is the study of chaotic behaviour. Willy Govaerts discusses the numerical methods for the computation and continuation of equilibria and bifurcation points of equilibria of dynamical systems. Arieh Iserles and Antonella Zanna survey the construction of Runge-Kutta metho

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Book by Baker CTH Monegato G vanden Berghe G

Dettagli dell?edizione

• Editore: North Holland
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 0444506004
• ISBN 13: 9780444506009
• Rilegatura: Copertina flessibile
• Numero di pagine: 558
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile