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TEC
2008
139views more  TEC 2008»
13 years 10 months ago
Genetic Programming Approaches for Solving Elliptic Partial Differential Equations
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation pr...
Andras Sobester, Prasanth B. Nair, Andy J. Keane
GPEM
2006
161views more  GPEM 2006»
13 years 11 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
SIAMREV
2010
132views more  SIAMREV 2010»
13 years 5 months ago
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with random coefficients and forcing terms (input data of the...
Ivo Babuska, Fabio Nobile, Raúl Tempone
TOMS
1998
148views more  TOMS 1998»
13 years 10 months ago
PELLPACK: A Problem-Solving Environment for PDE-Based Applications on Multicomputer Platforms
This paper presents the software architecture and implementation of the problem solving environment (PSE) PELLPACK for modeling physical objects described by partial differential ...
Elias N. Houstis, John R. Rice, Sanjiva Weerawaran...
AUTOMATICA
2005
112views more  AUTOMATICA 2005»
13 years 10 months ago
Optimal controller tuning for nonlinear processes
: This work proposes a systematic methodology for the optimal selection of controller parameters, in the sense of minimizing a performance index which is a quadratic function of th...
Nikolaos Kazantzis, Costas Kravaris, Costas Tseron...