Differential Equations With Symbolic Computation - Rilegato

 
9783764373689: Differential Equations With Symbolic Computation
Rilegato
ISBN 10: 3764373687 ISBN 13: 9783764373689
Casa editrice: Birkhauser, 2005

Sinossi

This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione

From the reviews:

“The book comprises 20 paper-like chapters written by different authors. ... the presented topics are well covered by the contributions and since the information content of each chapter is further enhanced by a rich reference section, researchers and students pursuing the relevant subjects should not miss this book.” (Jan Chleboun, Applications of Mathematics, Vol. 56 (5), 2011)

Contenuti

Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert’s Sixteenth Problem.- Estimating Limit Cycle Bifurcations from Centers.- Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems.- Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems.- Time-Reversibility in Two-Dimensional Polynomial Systems.- On Symbolic Computation of the LCE of N-Dimensional Dynamical Systems.- Symbolic Computation for Equilibria of Two Dynamic Models.- Attractive Regions in Power Systems by Singular Perturbation Analysis.- Algebraic Multiplicity and the Poincaré Problem.- Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations.- Looking for Periodic Solutions of ODE Systems by the Normal Form Method.- Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations.- Factoring Partial Differential Systems in Positive Characteristic.- On the Factorization of Differential Modules.- Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws.- Partial and Complete Linearization of PDEs Based on Conservation Laws.- CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations.- Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory.- On “Good” Bases of Algebraico-Differential Ideals.- On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Birkhauser
Data di pubblicazione
2005
Lingua
Inglese
ISBN 10 
3764373687
ISBN 13 
9783764373689
Rilegatura
Copertina rigida
Numero di pagine
374
Redattore
Wang Dongming, Zheng Zhiming
Contatto del produttore
non disponibile
Persona responsabile
non disponibile

Altre edizioni note dello stesso titolo

9783764390938: Differential Equations with Symbolic Computation

Edizione in evidenza

ISBN 10:  376439093X ISBN 13:  9783764390938
Casa editrice: Springer, 2008
Brossura