Parallel computation of normal forms

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RECERCAT Home > Universitat Politècnica de Catalunya > Documents de recerca > View document

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

Title:	Parallel computation of normal forms
Author:	Roldán González, Pablo
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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.
Subject(s):	-Dynamical systems -Algorithms -Nonlinear Dynamics. -Hamiltonian systems -Differentiable dynamical systems -normal forms -Equacions en derivades parcials -Algorismes -Partícules (Física nuclear) -Hamilton, Sistemes de -Sistemes dinàmics diferenciables -Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics -Classificació AMS::68 Computer science::68W Algorithms -Classificació AMS::65 Numerical analysis::65P Numerical problems in dynamical systems
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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