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» Differential equations for algebraic functions
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AMC
2005
120views more  AMC 2005»
13 years 7 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
MOC
1998
73views more  MOC 1998»
13 years 7 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»
14 years 21 days 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»
13 years 7 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»
13 years 7 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