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» Thomas Decomposition of Algebraic and Differential Systems
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CASC
2010
Springer
125views Mathematics» more  CASC 2010»
13 years 2 months ago
Thomas Decomposition of Algebraic and Differential Systems
In this paper, we consider systems of algebraic and non-linear partial differential equations and inequations. We decompose these system into so-called simple subsystems and there...
Thomas Bächler, Vladimir P. Gerdt, Markus Lan...
AMC
2005
195views more  AMC 2005»
13 years 4 months ago
A new symbolic computational approach to singular initial value problems in the second-order ordinary differential equations
This paper presents a new symbolic algorithm to compute the singular initial value problem of second-order ordinary differential equations using Adomian decomposition method. The ...
Onur Kiymaz, Seref Mirasyedioglu
AAECC
2008
Springer
63views Algorithms» more  AAECC 2008»
13 years 4 months ago
Probabilistic algorithms for computing resolvent representations of regular differential ideals
In a previous article [14], we proved the existence of resolvent representations for regular differential ideals. The present paper provides practical algorithms for computing suc...
Thomas Cluzeau, Evelyne Hubert
BMCBI
2008
242views more  BMCBI 2008»
13 years 4 months ago
New time-scale criteria for model simplification of bio-reaction systems
Background: Quasi-steady state approximation (QSSA) based on time-scale analysis is known to be an effective method for simplifying metabolic reaction system, but the conventional...
Junwon Choi, Kyung-won Yang, Tai-yong Lee, Sang Yu...