@Article{LopesDomiMendSchn:2018:AdMuSc,
               author = "Lopes, M{\"u}ller Moreira Souza and Domingues, Margarete Oliveira 
                         and Mendes J{\'u}nior, Odim and Schneider, Kai",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Institut de Math{\`e}matiques de 
                         Marseille}",
                title = "An adaptive multiresolution scheme with second order local 
                         time-stepping for reaction-diffusion equations",
              journal = "Journal of Applied Nonlinear Dynamics",
                 year = "2018",
               volume = "7",
               number = "3",
                pages = "287--295",
                month = "Sept.",
             abstract = "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.",
                  doi = "10.5890/JAND.2018.09.006",
                  url = "http://dx.doi.org/10.5890/JAND.2018.09.006",
                 issn = "2164-6457",
             language = "en",
           targetfile = "Lopes_adaptive.pdf",
        urlaccessdate = "04 jun. 2024"
}