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» Non-negative solutions of ODEs
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NA
2010
104views more  NA 2010»
13 years 5 months ago
New interpolants for asymptotically correct defect control of BVODEs
The defect of a continuous approximate solution to an ODE is the amount by which that approximation fails to satisfy the ODE. A number of studies have explored the use of asymptot...
Wayne H. Enright, P. H. Muir
ICTAI
2008
IEEE
14 years 5 months ago
The Performance of Approximating Ordinary Differential Equations by Neural Nets
—The dynamics of many systems are described by ordinary differential equations (ODE). Solving ODEs with standard methods (i.e. numerical integration) needs a high amount of compu...
Josef Fojdl, Rüdiger W. Brause
APPML
2008
56views more  APPML 2008»
13 years 11 months ago
Stability of isentropic Navier-Stokes shocks
By a combination of asymptotic ODE estimates and numerical Evans function calculations, we establish stability of viscous shock solutions of the isentropic compressible Navier
Blake Barker, Jeffrey Humpherys, Olivier D. Lafitt...
SIAMCO
2010
103views more  SIAMCO 2010»
13 years 5 months ago
On Some Systems Controlled by the Structure of Their Memory
We consider an optimal control problem governed by an ODE with memory playing the role of a control. We show the existence of an optimal solution and derive some necessary optimal...
G. Buttazzo, G. Carlier, R. Tahraoui
IJBC
2007
77views more  IJBC 2007»
13 years 10 months ago
Stability Computations for Nilpotent Hopf bifurcations in Coupled Cell Systems
Vanderbauwhede and van Gils, Krupa, and Langford studied unfoldings of bifurcations with purely imaginary eigenvalues and a nonsemisimple linearization, which generically occurs i...
M. Golubitsky, M. Krupa