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» Developmental Partial Differential Equations
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GPEM
2006
161views more  GPEM 2006»
14 years 9 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
ICIP
2008
IEEE
15 years 11 months ago
Partial difference equations on graphs for Mathematical Morphology operators over images and manifolds
The main tools of Mathematical Morphology are a broad class of nonlinear image operators. They can be defined in terms of algebraic set operators or as Partial Differential Equati...
Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezora...
ICPR
2008
IEEE
15 years 10 months ago
Nonlocal morphological levelings by partial difference equations over weighted graphs
In this paper, a novel approach to Mathematical Morphology operations is proposed. Morphological operators based on partial differential equations (PDEs) are extended to weighted ...
Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezora...
NHM
2010
79views more  NHM 2010»
14 years 4 months ago
Small solids in an inviscid fluid
We present in this paper several results concerning a simple model of interaction between an inviscid fluid, modeled by the Burgers equation, and a particle, assumed to be point-wi...
Boris Andreianov, Frédéric Lagouti&e...
CDC
2010
IEEE
137views Control Systems» more  CDC 2010»
14 years 1 months ago
On the uniform input-to-state stability of reaction-diffusion systems
Abstract— In the present paper we consider uniform inputto-state stability of reaction-diffusion equations and compare it with its finite dimensional counterpart without diffusi...
Sergey Dashkovskiy, Andrii Mironchenko