%0 Journal Article
%4 sid.inpe.br/mtc-m21c/2018/10.02.18.41
%2 sid.inpe.br/mtc-m21c/2018/10.02.18.41.01
%@doi 10.5890/JAND.2018.09.006
%@issn 2164-6457
%T An adaptive multiresolution scheme with second order local time-stepping for reaction-diffusion equations
%D 2018
%8 Sept.
%9 journal article
%A Lopes, Müller Moreira Souza,
%A Domingues, Margarete Oliveira,
%A Mendes Júnior, Odim,
%A Schneider, Kai,
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Institut de Mathèmatiques de Marseille
%@electronicmailaddress muller.lopes@inpe.br
%@electronicmailaddress margarete.domingues@inpe.br
%@electronicmailaddress odim.mendes@inpe.br
%B Journal of Applied Nonlinear Dynamics
%V 7
%N 3
%P 287-295
%X For adaptive multiresolution schemes we propose a local timestepping scheme based on natural extensions of RungeKutta methods. We consider reaction-diffusion equations in two space dimensions and assess the precision and efficiency of the new method. The obtained results are compared with those using classical finite volume schemes on a uniform grid and multiresolution schemes with global time stepping. It is shown that both CPU time and precision of the adaptive solutions are improved.
%@language en
%3 Lopes_adaptive.pdf