@InProceedings{ZarzurCampFreiStep:2018:CoExIm,
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
implementation.",
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 = "27 abr. 2024"
}