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Volumn 17, Issue 3, 2003, Pages 205-217

A polynomial approach to the piecewise hyperbolic method

Author keywords

Conservation laws; High order methods; Piecewise hyperbolic method; Total variation

Indexed keywords

CONSERVATION LAWS;

EID: 0037480033     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/1061856031000123850     Document Type: Article
Times cited : (11)

References (10)
  • 1
    • 0030115579 scopus 로고    scopus 로고
    • Capturing shock reflections: An improved flux formula
    • Donat, R. and Marquina, A. (1996) "Capturing shock reflections: an improved flux formula", J. Comput. Phys. 25, 42-58.
    • (1996) J. Comput. Phys. , vol.25 , pp. 42-58
    • Donat, R.1    Marquina, A.2
  • 2
    • 0023329384 scopus 로고
    • Uniformly high order accurate nonoscillatory schemes I
    • Harten, A. and Osher, S.J. (1987) "Uniformly high order accurate nonoscillatory schemes I", SIAM J. Numer. Anal. 24, 279-309.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 279-309
    • Harten, A.1    Osher, S.J.2
  • 3
    • 46149130784 scopus 로고
    • Some results on uniformly high-order accurate essentially non-oscillatory schemes
    • Harten, A., Osher, S.J., Engquist, B. and Chakravarthy, S. (1987a) "Some results on uniformly high-order accurate essentially non-oscillatory schemes", Appl. Numer. Math. 2, 347-377.
    • (1987) Appl. Numer. Math. , vol.2 , pp. 347-377
    • Harten, A.1    Osher, S.J.2    Engquist, B.3    Chakravarthy, S.4
  • 4
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes III
    • Harten, A., Engquist, B., Osher, S.J. and Chakravarthy, S. (1987b) "Uniformly high order accurate essentially non-oscillatory schemes III", J. Comput. Phys. 71, 231-303.
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.J.3    Chakravarthy, S.4
  • 5
    • 0001439303 scopus 로고
    • Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws
    • Marquina, A. (1994) "Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws", SIAM J. Sci. Comput. 15(4), 892-915.
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.4 , pp. 892-915
    • Marquina, A.1
  • 6
    • 0021513288 scopus 로고
    • High resolution schemes and the entropy condition
    • Osher, S.J. and Chakravarthy, S. (1984) "High resolution schemes and the entropy condition", SIAM J. Numer. Anal. 21, 955-984.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 955-984
    • Osher, S.J.1    Chakravarthy, S.2
  • 7
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameters vectors, and difference schemes
    • Roe, P.L. (1981) "Approximate Riemann solvers, parameters vectors, and difference schemes", J. Comput. Phys. 43, 357-372.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 8
    • 45449125925 scopus 로고
    • Efficient implementation of essential non-Oscillatory shock capturing schemes
    • Shu, C.W. and Osher, S.J. (1987) "Efficient implementation of essential non-Oscillatory shock capturing schemes", J. Comput. Phys. 77, 231-303.
    • (1987) J. Comput. Phys. , vol.77 , pp. 231-303
    • Shu, C.W.1    Osher, S.J.2
  • 9
    • 0001568854 scopus 로고
    • Efficient implementation of essential non-Oscillatory shock capturing schemes II
    • Shu, C.W. and Osher, S.J. (1989) "Efficient implementation of essential non-Oscillatory shock capturing schemes II", J. Comput. Phys. 83, 32-78.
    • (1989) J. Comput. Phys. , vol.83 , pp. 32-78
    • Shu, C.W.1    Osher, S.J.2
  • 10
    • 0000200938 scopus 로고
    • An artificial compression method for ENO schemes. The slope modification method
    • Yang, H. (1990) "An artificial compression method for ENO schemes. The slope modification method", J. Comput. Phys. 89, 125-160.
    • (1990) J. Comput. Phys. , vol.89 , pp. 125-160
    • Yang, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.