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M. Arora, Design of Characteristic-Based Solution Algorithms for Hyperbolic Conservation Laws with Stiff Source Terms, PhD thesis, The University of Michigan, 1996.
M. Arora and P. L. Roe, Design of algorithms for stiff relaxation systems, in Proceedings of the 3rd International Congress on Industrial and Applied Mathematics, Akademie-Verlag, Berlin, 1995, to appear.
J. E. Broadwell, Shock structure in a simple discrete velocity gas, Physics of Fluids, 7 (1964), pp. 1243–1247.
R. Caflisch, S. Jin, and G. Russo, Uniformly accurate schemes for hyperbolic systems with relaxation, SIAM Journal on Numerical Analysis, (1996, to appear).
P. Colella and P. R. Woodward, The piecewise-parabolic method (PPM) for gas-dynamical simulations, Journal of Computational Physics, 54 (1984), pp. 174–201.
S. Jin, Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms, Journal of Computational Physics, 122 (1995).
S. Jin and C. D. Levermore, Numerical schemes for hyperbolic conservation laws with stiff relaxation terms, Journal of Computational Physics, (1993, submitted).
R. B. Pember, Numerical methods for hyperbolic conservation laws with stiff relaxation, II. Higher order Godunov methods, SIAM Journal on Scientific Computing, 14 (1993), pp. 824–859.
G. Strang, On the construction and comparison of difference schemes, SIAM Journal on Numerical Analysis, 5 (1968), pp. 506–517.
B. van Leer, On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe, SIAM Journal on Scientific and Statistical Computing, 5 (1984).
H. C. Yee and J. L. Shinn, Semi-implicit and fully implicit shock capturing methods for nonequilibrium flows, AIAA Journal, 27 (1989), pp. 299–307.
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Arora, M., Roe, P.L. (1997). Characteristic-based numerical algorithms for stiff hyperbolic relaxation systems. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107080
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DOI: https://doi.org/10.1007/BFb0107080
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