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Titlebook: Differential Equations with Symbolic Computation; Dongming Wang,Zhiming Zheng Conference proceedings 2005 Birkhäuser Basel 2005 Differenti

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楼主: 戏弄
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Third Ventricle and Suprasellar Cisternstions (PDEs) or out of differential consequences of nonlinear PDEs. This includes a complete linearization to an equivalent linear PDE (system) if that is possible. Infinite parameter conservation laws can be computed, for example, with the computer algebra package ..
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Georges Salamon,Yun Peng Huang,N. Christoffsoftware package CONSLAW written in Maple to automate the computation is developed. CONSLAW can construct the polynomial conservation laws for polynomial partial differential equations automatically. Furthermore, some new integrable systems can be filtered out by analyzing the compatibility conditio
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C. Schümichen,P. Bergmann,M. HallMany practical dynamic models contain complicated nonlinearities that make it difficult to investigate the distribution and qualitative properties of equilibria, which are actually the basic information for further discussion on bifurcations. In this paper effective methods of symbolic computation are introduced for two nonlinear systems.
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https://doi.org/10.1007/88-470-0486-1We describe usage of the normal form method and corresponding computer algebra packages for building an approximation of local periodic solutions of nonlinear autonomous ordinary differential equations (ODEs). For illustration a number of systems are treated.
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A. Simonds,S. Sperber,S. W. ClarkeGeneralized differential resultants of algebraic ODEs are introduced and relations between generalized differential resultant systems and differential elimination are shown.
发表于 2025-3-24 18:07:21 | 显示全部楼层
Symbolic Computation for Equilibria of Two Dynamic Models,Many practical dynamic models contain complicated nonlinearities that make it difficult to investigate the distribution and qualitative properties of equilibria, which are actually the basic information for further discussion on bifurcations. In this paper effective methods of symbolic computation are introduced for two nonlinear systems.
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Looking for Periodic Solutions of ODE Systems by the Normal Form Method,We describe usage of the normal form method and corresponding computer algebra packages for building an approximation of local periodic solutions of nonlinear autonomous ordinary differential equations (ODEs). For illustration a number of systems are treated.
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