A CFL-free explicit characteristic interior penalty scheme for linear advection-reaction equations

Kaixin Wang, Hong Wang, Mohamed Al-Lawatia

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7 Citations (Scopus)


We develop a CFL-free, explicit characteristic interior penalty scheme (CHIPS) for one-dimensional first-order advection-reaction equations by combining a Eulerian-Lagrangian approach with a discontinuous Galerkin framework. The CHIPS method retains the numerical advantages of the discontinuous Galerkin methods as well as characteristic methods. An optimal-order error estimate in the L2 norm for the CHIPS method is derived and numerical experiments are presented to confirm the theoretical estimates.

Original languageEnglish
Pages (from-to)561-595
Number of pages35
JournalNumerical Methods for Partial Differential Equations
Issue number3
Publication statusPublished - May 2010



  • Characteristic methods
  • Courant-friedrichs-lewy condition
  • Discontinuous Galerkin method
  • Eulerian-lagrangian methods
  • Interior penalty methods

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics
  • Analysis

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