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 Referred Journal Publications

  • Yingda Cheng, Irene M. Gamba, J. Proft, "Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations", Math. Comp., 81 (2012), pp. 153-190.

  • J. Proft and B. Riviere, "Discontinuous Galerkin Methods for Convection-Diffusion Equations for Varying and Vanishing Diffusivity", Int. Journal of Numumerical Analysis and Modeling, 6 (2009) no. 4, pp 533-561.

  • A. Ern and J. Proft, "Multi-algorithmic methods for coupled hyperbolic-parabolic problems", International Journal of Numerical Analysis and Modeling, 3 (2005) no. 1, pp 94-114.

  • A. Ern and J. Proft, "A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations," Applied Mathematics Letters, 18 (2005), no. 7, pp. 833-841. online

  • J.-P. Croisille, A. Ern, T. Lelievre, and J. Proft, "Analysis and simulation of a coupled hyperbolic/parabolic model problem", Journal of Numerical Mathematics, 13 (2005) no. 2, pp 81-103.

  • C.N. Dawson and J. Proft, "Coupled discontinuous and continuous Galerkin finite element methods for the depth-integrated shallow water equations," Computer Methods in Applied Mechanics and Engineering, 193:3-5 (2004), pp. 289-318. online

  • C.N. Dawson and J. Proft, "Discontinuous/continuous Galerkin methods for coupling the primitive and wave continuity equations of shallow water," Computer Methods in Applied Mechanics and Engineering, 192:47-48 (2003), pp. 5123-5145. online

  • C.N. Dawson and J. Proft, "Discontinuous and coupled continuous/discontinuous Galerkin methods for the shallow water equations," Computer Methods in Applied Mechanics and Engineering, 191:41-42 (2002), pp. 4721-4746. online

  • C.N. Dawson and J. Proft, "Coupling of continuous and discontinuous Galerkin methods for transport problems," Computer Methods in Applied Mechanics and Engineering, 191:29-30 (2002), pp. 3213-3231. online

  • C.N. Dawson and J. Proft, "A priori error estimates for interior penalty versions of local discontinuous Galerkin methods applied to transport equations," Numerical Methods for Partial Differential Equations 17 (2001), no. 6, 545--564. online

Conference Proceedings

  • C. Dawson, J. Westerink, E. Kubatko, J. Proft, C. Mirabito, "Parallel Finite Element Models for Hurricane Storm Surges," Proceedings of the Teragrid '08 Conference, Las Vegas, NV, June 9-13, 2008.

    Reports

    • J. Proft and B. Riviere, "Analytical and Numerical Study of Diffusive Fluxes for Transport Equations with Near-Degenerate Diffusion Coefficients", April 2006, ICES Report 06-06

    • J. Proft, "Multi-Algorithmic Numerical Strategies for the Solution of Shallow Water Models", PhD Thesis, August 2002, TICAM Report 02-41

    • J. Proft, "Adaptive stencil and discontinuous Galerkin methods for transport equations on triangular grids", Masters Report, May 1999, TICAM Report 99-16.
Jennifer Proft