Brito, PauloPortugal, António2011-04-132011-04-132010Brito, Paulo; Portugal, A. (2010). Adaptive collocation methods for the solution of partial differential equations. In International Joint Conferences on Computer, Information, and Systems Sciences, and Engineering (CISSE). Bridgeport. p. 499-504. ISBN 978-90-481-9111-6978-90-481-9111-6http://hdl.handle.net/10198/4042An 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.engPartial differential equationNumerical methodsAdaptive methodsCollocation methodsDyadic gridsconference paper10.1007/978-90-481-9112-3_85