搜索结果: 1-4 共查到“常微分方程 ODEs”相关记录4条 . 查询时间(0.156 秒)
Equivalence classes of the second order ODEs with the constant Cartan invariant
Invariant Equivalence Problem Ordinary Differential Equation Point transformation Painleve equation Emden equation
font style='font-size:12px;'>
2011/7/6
Second order ordinary differential equations that possesses the constant invariant are investigated. Four basic types of these equations were found. For every type the complete list of nonequivalent e...
On a Novel Class of Integrable ODEs Related to the Painlevé Equations
Painlev´ e equation conjugate Painlev´ e equation
font style='font-size:12px;'>
2010/12/16
One of the authors has recently introduced the concept of conju-gate Hamiltonian systems: the solution of the equation h = H(p, q, t),where H is a given Hamiltonian containing t explicitly, yields the...
A unifying framework for the derivation and analysis of effective classes of one-step methods for ODEs
Ordinary differential equations Runge-Kutta methods one-step methods Hamiltonian problems
font style='font-size:12px;'>
2010/12/8
In this paper, we provide a simple framework to derive and analyse several classes of effective one-step methods. The framework consists in the discretization of a local Fourier expansion of the conti...
Abel ODEs: Equivalence and Integrable Classes
Abel ODEs Equivalence Integrable Classes
font style='font-size:12px;'>
2010/11/2
A classification, according to invariant theory, of non-constant invariant Abel ODEs known as solvable and found in the literature is presented. A set of new integrable classes depending on one or no...