- title = "Genetic Programming solution of the convection-diffusion equation",
- author = "Daniel Howard and Simon C. Roberts",
- pages = "34--41",
- year = "2001",
- publisher = "Morgan Kaufmann",
- booktitle = "Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2001)",
- editor = "Lee Spector and Erik D. Goodman and Annie Wu and W. B. Langdon and Hans-Michael Voigt and Mitsuo Gen and Sandip Sen and Marco Dorigo and Shahram Pezeshk and Max H. Garzon and Edmund Burke",
- address = "San Francisco, California, USA",
- publisher_address = "San Francisco, CA 94104, USA",
- month = "7-11 " # jul,
- keywords = "genetic algorithms, genetic programming, convection-diffusion, differential equations, WRM, FEM, numerical method",
- ISBN = "1-55860-774-9",
-
URL = "
http://gpbib.cs.ucl.ac.uk/gecco2001/d01.pdf",
- size = "8 pages",
- abstract = "A version of Genetic Programming (GP) is proposed for the solution of the steady-state convection-diffusion equation which neither requires sampling points to evaluate fitness nor application of the chain rule to GP trees for obtaining the derivatives. The method is successfully applied to the equation in one space dimension.",
-
notes = "GECCO-2001 A joint meeting of the tenth International
Conference on Genetic Algorithms (ICGA-2001) and the
sixth Annual Genetic Programming Conference (GP-2001)
Part of \cite{spector:2001:GECCO}
linear one dimensional second order partial differential equation, comparison of GP with known analytic solution. Evolve single polynomial approximation. Fitness based on analytical integration of differentials of polynomial. Polynomial is phenotype created by GP ADD, BACK WRITE functions on variable length vector of polynomial co-efficients. read and write memory (two cells).
Peclet numbers. p37 GP with ADFs 'did not significantly improve performance'. Weighted residues method, WRM. p39 'This method cannot be recommended'",
