author = "Zarzur, Antonio Maur{\'{\i}}cio and Campos Velho, Haroldo Fraga 
                         de and Freitas, Saulo Ribeiro de and Stephany, Stephan",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Instituto Nacional de Pesquisas 
                         Espaciais (INPE)}",
                title = "Combined explicit and implicit methods for time integration in 
                         partial differential equations",
            booktitle = "Proceedings...",
                 year = "2018",
                pages = "151--158",
         organization = "Thermal and Fluids Engineering Conference, 3. (TFEC)",
            publisher = "Begellhouse",
             keywords = "Computational Fluid Dynamics, IMEX Method, Burgers' Equation.",
             abstract = "Numerical methods for the solution of partial differential 
                         equations are broadly categorized as either implicit or explicit. 
                         A more recent approach, denominated IMEX, takes advantage of both 
                         strategies to form a combined scheme that excels in the solution 
                         of problems containing both fast and slow time scales. In this 
                         work, a family of multistep IMEX schemes based on Adams methods is 
                         used to solve the two-dimensional viscous Burgers equation, which 
                         is one of the fundamental equations in fluid dynamics. Two 
                         numerical experiments are proposed, where the exact solution is 
                         used to verify the results, and the accuracy of the proposed 
                         methods is compared to a fully explicit and a fully implicit 
  conference-location = "Fort Lauderdale, FL, USA",
      conference-year = "04-07 mar.",
                  doi = "10.1615/TFEC2018.cfd.021966",
                  url = "http://dx.doi.org/10.1615/TFEC2018.cfd.021966",
                 isbn = "2379-1748",
                label = "lattes: 4509195431569906 1 ZarzurVelhFreiStep:2018:COEXIM",
             language = "en",
        urlaccessdate = "28 nov. 2020"