Numerical experiments on the accuracy of ENO and modified ENO schemes
Tóm tắt
Từ khóa
Tài liệu tham khảo
Fatemi, E., Jerome, J., and Osher, S. (1989). Solution of the hydrodynamic device model using high order non-oscillatory shock capturing algorithms, ICASE Report 89-52, NASA Langley Research Center. To appear inIEEE Trans. Computer Audeo Design Integrated Syst. Circuits.
Harten, A., and Osher, S. (1987). Uniformly high order accurate nonoscillatory schemes, I,SIAM J. Numer. Anal. 24, 279?309.
Harten, A., Engquist, B., Osher, S., and Chakravarthy, S. (1987). Uniformly high order essentially nonoscillatory schemes, III,J. Comput. Phys. 71, 231?303.
Harten, A., Osher, S., Engquist, B., and Chakravarthy, S. (1986). An overview of uniformly high order essentially non-oscillatory schemes,J. Appl. Numer. Math. 2, 347.
Lafon, F., and Osher, S. (1990). High order filtering methods for approximating heperbolic systems of conservation laws, ICASE Report 90-25, NASA Langley research Center. Submitted toJ. Comput. Phys.
Rogerson, A., and Meiburg, E. (1990). A numerical study of the convergence properties of ENO schemes, preprint, this issue,J. Sci. Comput. 5.
Shu, C.-W., and Osher, S. (1988). Efficient implementation of essentially non-oscillatory shock capturing schemes,J. Comput. Phys. 77, 439?471.
Shu, C.-W., and Osher, S. (1989). Efficient implementation of essentially nonoscillatory shock capturing schemes, II,J. Comput. Phys. 83, 32?78.
Yang, H. (1989). Some results on numerical methods for hyperbolic conservation laws, Ph.D. thesis, UCLA.