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SIAMSC
2011
133views more  SIAMSC 2011»
13 years 2 months ago
On the Existence and the Applications of Modified Equations for Stochastic Differential Equations
In this paper we describe a general framework for deriving modified equations for stochastic differential equations with respect to weak convergence. Modified equations are deri...
K. C. Zygalakis
BMCBI
2006
175views more  BMCBI 2006»
13 years 7 months ago
Parameter estimation for stiff equations of biosystems using radial basis function networks
Background: The modeling of dynamic systems requires estimating kinetic parameters from experimentally measured time-courses. Conventional global optimization methods used for par...
Yoshiya Matsubara, Shinichi Kikuchi, Masahiro Sugi...
GPEM
2006
161views more  GPEM 2006»
13 years 7 months ago
Solving differential equations with genetic programming
A novel method for solving ordinary and partial differential equations, based on grammatical evolution is presented. The method forms generations of trial solutions expressed in an...
Ioannis G. Tsoulos, Isaac E. Lagaris
LICS
2010
IEEE
13 years 6 months ago
Abstracting the Differential Semantics of Rule-Based Models: Exact and Automated Model Reduction
ing the differential semantics of rule-based models: exact and automated model reduction (Invited Lecture) Vincent Danos∗§, J´erˆome Feret†, Walter Fontana‡, Russell Harme...
Vincent Danos, Jérôme Feret, Walter F...
APPML
2004
84views more  APPML 2004»
13 years 7 months ago
Renormalization group methods for nonlinear parabolic equations
ABSTRACT.Renormalization group (RG) methods are described for determining the key exponents related to the decay of solutions to nonlinear parabolic differential equations. Higher ...
H. Merdan, G. Caginalp