Differential Equations with Symbolic Computation

By: Dongming Wang (Editor), Zhiming Zheng (Editor)

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Hardcover | 15 August 2005

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Hardcover
384 Pages

Dimensions(cm)
24.13 x 17.78 x 2.54

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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.

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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)

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Symbolic computation of Lyapunov quantities and the second part of Hilbert's sixteenth problem	p. 1
Estimating limit cycle bifurcations from centers	p. 23
Conditions of infinity to be an isochronous center for a class of differential systems	p. 37
Darboux integrability and limit cycles for a class of polynomial differential systems	p. 55
Time-reversibility in two-dimensional polynomial systems	p. 67
On symbolic computation of the LCE of N-dimensional dynamical systems	p. 85
Symbolic computation for equilibria of two dynamic models	p. 109
Attractive regions in power systems by singular perturbation analysis	p. 121
Algebraic multiplicity and the Poincare problem	p. 143
Formalizing a reasoning strategy in symbolic approach to differential equations	p. 159
Looking for periodic solutions of ODE systems by the normal form method	p. 173
Algorithmic reduction and rational general solutions of first order algebraic differential equations	p. 201
Factoring partial differential systems in positive characteristic	p. 213
On the factorization of differential modules	p. 239
Continuous and discrete homotopy operators and the computation of conservation laws	p. 255
Partial and complete linearization of PDEs based on conservation laws	p. 291
CONSLAW : a maple package to construct the conservation laws for nonlinear evolution equations	p. 307
Generalized differential resultant systems of algebraic ODEs and differential elimination theory	p. 327
On "good" bases of algebraico-differential ideals	p. 343
On the construction of Groebner basis of a polynomial ideal based on Riquier-Janet theory	p. 351
Table of Contents provided by Blackwell. All Rights Reserved.

Differential Equations with Symbolic Computation

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Hardcover

Industry Reviews

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