Differential equations with symbolic computation
This book provides a picture of what can be done in di?erential equations with advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspect of three kinds offundamental problems in di?- ential equations: transforming the equations, solving the equation...
Salvato in:
| Autore principale: | |
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| Altri autori: | , |
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2005. |
| Serie: | Trends in Mathematics
|
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Differential equations with symbolic computation, Dongming Wang, Zhiming Zheng, editors, Basel, Birkhäuser, 2005, 1 vol. (VIII-374 p.), Trends in mathematics, 3-7643-7368-7 • Differential Equations with Symbolic Computation, Texte imprimé, 9783764390938 • Differential equations with symbolic computation, Dongming Wang, Zhiming Zheng, editors, Basel, Birkhäuser, 2005, 1 vol. (VIII-374 p.), Trends in mathematics, 3-7643-7368-7 |
Sommario:
- 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