Solving differential equations with genetic programming
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- @Article{Tsoulos:2006:GPEM,
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author = "I. G. Tsoulos and I. E. Lagaris",
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title = "Solving differential equations with genetic
programming",
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journal = "Genetic Programming and Evolvable Machines",
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year = "2006",
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volume = "7",
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number = "1",
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pages = "33--54",
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month = mar,
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keywords = "genetic algorithms, genetic programming, Grammatical
evolution, Differential equations, Evolutionary
modelling",
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ISSN = "1389-2576",
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URL = "http://www.cs.uoi.gr/~lagaris/papers/PREPRINTS/DEwGE.pdf",
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URL = "http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.307.7287",
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DOI = "doi:10.1007/s10710-006-7009-y",
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size = "22 pages",
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abstract = "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 analytical closed form.
Several examples are worked out and in most cases the
exact solution is recovered. When the solution cannot
be expressed in a closed analytical form then our
method produces an approximation with a controlled
level of accuracy. We report results on several
problems to illustrate the potential of this
approach.",
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notes = "ODE, PDE",
- }
Genetic Programming entries for
Ioannis G Tsoulos
Isaac E Lagaris
Citations