Differential Equations with Symbolic Computation
Published on 15. August 2005
Book
Hardback
VIII, 374 pages
978-3-7643-7368-9 (ISBN)
Description
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.
Reviews / Votes
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)More details
Series
Edition
2005 ed.
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
VIII, 374 p.
Dimensions
Height: 250 mm
Width: 175 mm
Thickness: 27 mm
Weight
842 gr
ISBN-13
978-3-7643-7368-9 (9783764373689)
DOI
10.1007/3-7643-7429-2
Schweitzer Classification
Other editions
Additional editions
Dongming Wang | Zhiming Zheng
Differential Equations with Symbolic Computation
E-Book
03/2006
1st Edition
Birkhäuser
€149.79
Available for download
Content
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.