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» Differential equations for algebraic functions
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AMC
2005
120views more  AMC 2005»
14 years 9 months ago
ICS: a package for computing involutive characteristic set of algebraic partial differential equation systems
A constructive algorithm for the completion of arbitrary algebraic partial differential equation systems to involutive ones are presented. Based on it, an implementation ICS for c...
Shan-Qing Zhang, Gui-Xu Zhang, Zhi-Bin Li
61
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MOC
1998
73views more  MOC 1998»
14 years 9 months ago
Efficient Runge-Kutta integrators for index-2 differential algebraic equations
Abstract. In seeking suitable Runge-Kutta methods for differential algebraic equations, we consider singly-implicit methods to which are appended diagonally-implicit stages. Metho...
J. C. Butcher, R. P. K. Chan
ISSAC
2004
Springer
67views Mathematics» more  ISSAC 2004»
15 years 3 months ago
Rational general solutions of algebraic ordinary differential equations
We give a necessary and sufficient condition for an algebraic ODE to have a rational type general solution. For an autonomous first order ODE, we give an algorithm to compute a r...
Ruyong Feng, Xiao-Shan Gao
AUTOMATICA
2005
112views more  AUTOMATICA 2005»
14 years 9 months ago
Optimal controller tuning for nonlinear processes
: This work proposes a systematic methodology for the optimal selection of controller parameters, in the sense of minimizing a performance index which is a quadratic function of th...
Nikolaos Kazantzis, Costas Kravaris, Costas Tseron...
CSJM
2008
91views more  CSJM 2008»
14 years 9 months ago
An algebraic approach to a study of two-dimensional affine differential system
In a present paper a problem of classification of Aff(2, R)orbits' dimensions is considered on example of an autonomous two-dimensional affine differential system of first or...
E. Naidenova