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Title: Adaptive collocation methods for the solution of partial differential equations
Author: Brito, Paulo
Portugal, António
Keywords: Partial differential equation
Numerical methods
Adaptive methods
Collocation methods
Dyadic grids
Issue Date: 2010
Publisher: Springer
Citation: Brito, P.M.P.; Portugal, A. (2010) - Adaptive collocation methods for the solution of partial differential equations. Innovations in Computing Sciences and Software Engineering. Vol. 2. ISBN 978-90-481-9111-6. p. 499-504
Abstract: An integration algorithm that conjugates a Method of Lines (MOL) strategy based on finite differences space discretizations, with a collocation strategy based on increasing level dyadic grids is presented. It reveals potential either as a grid generation procedure and a Partial Differential Equation(PDE) integration scheme. It copes satisfactorily with a example characterized by a steep travelling wave and a example that presented a forming steep shock, which demonstrates its versatility in dealing with different types of steep moving front problems, exhibiting features like advection-diffusion, widely common in the standard Chemical Processes simulation models.
Peer review: yes
ISBN: 978-90-481-9111-6
Publisher Version:
Appears in Collections:DTQB - Artigos em Revistas Não Indexados ao ISI/Scopus

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