@InProceedings{LopesDomiMendSchn:2016:NeSeOr,
               author = "Lopes, M{\"u}ller Moreira Souza and Domingues, Margarete Oliveira 
                         and Mendes, 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 {Marseille Universit{\'e}}",
                title = "A new second order local time scheme for numerical simulations of 
                         evolutionary partial differential equations with localized 
                         physical phenomena",
                 year = "2016",
         organization = "International Conference on Nonlinear Science and Complexity, 6.",
             keywords = "Numerical Simulation and Optimization, Fluidodynamics, Geophysical 
                         Nonlinear Dynamics.",
             abstract = "Techniques for numerical simulations of localized complex physical 
                         phenomena may require a lot of CPU time, making the solution 
                         unavailable in a reasonable time. To improve it adaptive methods 
                         are used. They consist in using an automatic mesh adapted to the 
                         solution locally. To improve this challenge when explicit method 
                         are used in time, a local second order in time approach is 
                         proposed. It consist in using for each cell an individual time 
                         step proportional to its refinement, respecting the CFL condition 
                         locally. For that synchronization steps must be done. Some 
                         verification tests on CARMEN code are presented, where we show 
                         that the CPU time and precision of the solutions are improved 
                         compared to usual schemes.",
  conference-location = "S{\~a}o Jos{\'e} dos Campos, SP",
      conference-year = "16-20 May",
             language = "en",
        urlaccessdate = "28 abr. 2024"
}