Differential Equations with Symbolic Computation
Contributor(s): Wang, Dongming [editor.] | Zheng, Zhiming [editor.] | SpringerLink (Online service).
Material type: BookSeries: Trends in Mathematics: Publisher: Basel : Birkhäuser Basel, 2005.Description: VIII, 374 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764374297.Subject(s): Mathematics | Partial differential equations | Computer mathematics | Mathematics | Partial Differential Equations | Computational Mathematics and Numerical AnalysisDDC classification: 515.353 Online resources: Click here to access onlineItem type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books | PK Kelkar Library, IIT Kanpur | Available | EBK6498 |
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.
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