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Volume 3, Issue 3
A Comparative Study of the Efficiency of Jet Schemes

PRINCE CHIDYAGWAI, JEAN-CHRISTOPHE NAVE, RODOLFO RUBEN ROSALES, AND BENJAMIN SEIBOLD

Int. J. Numer. Anal. Mod. B, 3 (2012), pp. 297-306

Published online: 2012-03

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  • Abstract
We present two versions of third order accurate jet schemes, which achieve high order accuracy by tracking derivative information of the solution along characteristic curves. For a benchmark linear advection problem, the effciency of jet schemes is compared with WENO and Discontinuous Galerkin methods of the same order. Moreover, the performance of various schemes in tracking solution contours is investigated. It is demonstrated that jet schemes possess the simplicity and speed of WENO schemes, while showing several of the advantages as well as the accuracy of DG methods.
  • Keywords

jet scheme advection high-order WENO DG effciency contours

  • AMS Subject Headings

65M25 65M12 35L04

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-3-297, author = {PRINCE CHIDYAGWAI, JEAN-CHRISTOPHE NAVE, RODOLFO RUBEN ROSALES, AND BENJAMIN SEIBOLD}, title = {A Comparative Study of the Efficiency of Jet Schemes}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2012}, volume = {3}, number = {3}, pages = {297--306}, abstract = {We present two versions of third order accurate jet schemes, which achieve high order accuracy by tracking derivative information of the solution along characteristic curves. For a benchmark linear advection problem, the effciency of jet schemes is compared with WENO and Discontinuous Galerkin methods of the same order. Moreover, the performance of various schemes in tracking solution contours is investigated. It is demonstrated that jet schemes possess the simplicity and speed of WENO schemes, while showing several of the advantages as well as the accuracy of DG methods.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/285.html} }
TY - JOUR T1 - A Comparative Study of the Efficiency of Jet Schemes AU - PRINCE CHIDYAGWAI, JEAN-CHRISTOPHE NAVE, RODOLFO RUBEN ROSALES, AND BENJAMIN SEIBOLD JO - International Journal of Numerical Analysis Modeling Series B VL - 3 SP - 297 EP - 306 PY - 2012 DA - 2012/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/285.html KW - jet scheme KW - advection KW - high-order KW - WENO KW - DG KW - effciency KW - contours AB - We present two versions of third order accurate jet schemes, which achieve high order accuracy by tracking derivative information of the solution along characteristic curves. For a benchmark linear advection problem, the effciency of jet schemes is compared with WENO and Discontinuous Galerkin methods of the same order. Moreover, the performance of various schemes in tracking solution contours is investigated. It is demonstrated that jet schemes possess the simplicity and speed of WENO schemes, while showing several of the advantages as well as the accuracy of DG methods.
PRINCE CHIDYAGWAI, JEAN-CHRISTOPHE NAVE, RODOLFO RUBEN ROSALES, AND BENJAMIN SEIBOLD. (2012). A Comparative Study of the Efficiency of Jet Schemes. International Journal of Numerical Analysis Modeling Series B. 3 (3). 297-306. doi:
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