A domian Decomposition Method, Cherruault Transformations, Homotopy Perturbation Method, and Nonlinear Dynamics: Theories and Comparative Applications to Frontier problems
Speaker:
Tony Gomis (NBI)
Date and Time:
Wednesday, October 27, 2010 - 10:00am to 10:50am
Location:
Fields Institute, Room 230
Abstract:
Coauthors: Yves Cherruault*, Université Paris 6 France * RIP in 2010
New global methods for solving complex, nonlinear, continuous and discrete,deterministic and stochastic,differential or integral, and combined functional equations, will be presented and compared. This talk will outline the Adomian Decomposition Method,and the Homotopy Perturbation Techniques, all offering solutions as convergent infinite functional series.In this talk , the Cherruault Alienor transformations based on a generalization of the space-filling curves theory(for quasi-lossless dimensionality compression, and for functional Global Optimization ) will be outlined and applied to real-world problems.