References
- Balagur , A. and Conde , C. 2005 . Fourth order non-oscillatory upwind and central schemes for hyperbolic conservation laws . SIAM J. Numer. Anal. V. , 43 ( 2 ) : 455 – 473 .
- Balsara , D.S. and Shu , C.W. 2000 . Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy . J. Comput. Phys. , 160 : 405 – 452 .
- Glaiter , P. 1988 . An approximate linearized Riemann solver for Euler equations for real gases . J. Comp. Phys. , 74 : 382 – 408 .
- Gottlieb , S. , Shu , C.-W. and Tadmor , E. 2001 . Strong stability-preserving high order time discretization methods . SIAM Rev. , 43 : 89 – 112 .
- Harten , A. , Engquist , B. , Osher , S. and Chakravarthy , S. 1987 . Uniformly high order accurate essentially non-oscillatory schemes III . J. Comp. Phys. , 71 : 231 – 303 .
- Jiang , G.-S. and Shu , C.-W. 1996 . Efficient implementation of weighted ENO schemes . J. Comp. Phys. , 126 : 202 – 228 .
- Kurganov , A. and Levy , D. 2000 . A Third-order semi-discrete central scheme for conservation laws and convection–diffusion equations . SIAM J. Sci. Comp. , 22 : 1461 – 1488 .
- Kurganov , A. and Petrova , G. 2001 . A Third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems . Numer. Math. , 88 : 683 – 729 .
- Kurganov , A. and Tadmor , E. 2000 . New high-resolution central schemes for nonlinear conservation laws and convection–diffusion equations . J. Comp. Phys. , 160 : 241 – 282 .
- Kurganov , A. , Noelle , S. and Petrova , G. 2001 . Semi-discrete central-upwind schemes for hyperbolic conservation laws and Hamilton–Jacobi equations . SIAM J. Sci. Comp. , 23 : 707 – 740 .
- Nessyahu , H. and Tadmor , E. 1990 . Non-oscillatory central differencing for hyperbolic conservation laws . J. Comp. Phys. , 87 : 408 – 463 .
- Qiu , J. and Shu , C-W. 2002 . On the construction, comparison, and local characteristic decomposition for the high order central WENO schemes . J. Comput. Phys. , 183 : 187 – 209 .
- Sod , G. 1987 . A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws . J. Comp. Phys. , 27 : 1 – 31 .
- Woodward , P. and Colella , P. 1984 . The numerical solution of two dimensional fluid flow with strong waves . J. Comput. Phys. , 54 : 115 – 173 .