Discrete equations for physical and numerical compressible multiphase mixtures  with R. Saurel, submitted

• Toward the ultimate conservative scheme : following the Quest      J. Comput. Phys. 167 (2001), no. 2, 277-315 (gzipped, 2.9 meg)
• Status of Multidimensional Upwind Residual Distribution Schemes and Applications in Aeronautics with H. Deconinck and E. van der Weide (VKI Belgium)  (AIIA paper)
• Residual Distribution Schemes for Conservation Laws via Adaptive Quadrature with T.J. Barth (NASA Ames)  Siam J. Sci. Comput,24, 2002, vol 3, pp732-769
• Construction of second order accurate monotone and stable residual distributive schemes:  the steady case. with M. Mezine,  (gzipped, 3.1 meg). also RC-MAB Report 2001-33
• Construction of second order accurate monotone and stable residual distributive schemes:  the unsteady case. with M. Mezine, submitted (gzipped, 2.3 meg)
• High order fluctuation schemes on triangular meshes, with P.L. Roe, submitted (gzipped, .5 meg)
• von Karman Lecture series (March 2003). Steady problems, unsteady problems

• Efficient Numerical approximation of Compressible Multi-material flow for unstructured meshes. R. Abgrall, B. Nkonga and R. Saurel.  Computer and Fluids, to appear
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• Compressible multifluids. R. Abgrall and S. Karni,   (J. Comput. Phys. 169 (2001), no. 2, 594--623.)

High order approximation of Hamilton Jacobi equations, S. Augoula and R. Abgrall.

High Resolution Schemes for First Order Hamilton Jacobi Equations on Triangular Meshes.
 

Boundary conditions for Hamilton Jacobi equations, R. Abgrall  (under revision, SINUM)

Numerical approximation of boundary conditions for Hamilton Jacobi equations, Rapport de Recherches MAB 98-015.

S. Augoula's PhD Thesis (tar file)

Other stuff on HJ