Parallel computation of normal forms

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/1008

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Roldán González, Pablo
dc.date	2004
dc.identifier.uri	http://hdl.handle.net/2117/1008
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Dynamical systems
dc.subject	Algorithms
dc.subject	Nonlinear Dynamics.
dc.subject	Hamiltonian systems
dc.subject	Differentiable dynamical systems
dc.subject	normal forms
dc.subject	Equacions en derivades parcials
dc.subject	Algorismes
dc.subject	Partícules (Física nuclear)
dc.subject	Hamilton, Sistemes de
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics
dc.subject	Classificació AMS::68 Computer science::68W Algorithms
dc.subject	Classificació AMS::65 Numerical analysis::65P Numerical problems in dynamical systems
dc.title	Parallel computation of normal forms
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The time to compute normal forms numerically grows very fast with respect to the degree of the normal form and the dimension of the system. We design and implement a parallel algorithm based on the parallel computation of Poisson brackets. The implementation is based on previous work by A.~Jorba, and uses the C programming language and PVM. We present a theoretical and empirical efficiency analysis of the algorithm. We also suggest some possible improvements of the algorithm.

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