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Volumn 27, Issue 4, 2009, Pages 474-483

Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients II: Some related binomial coefficient inequalities

Author keywords

Binomial coefficient; Error estimates; Immersed interface upwind scheme; Linear advection equations; Piecewise constant coefficients

Indexed keywords


EID: 68049110342     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: 10.4208/jcm.2009.27.4.014     Document Type: Article
Times cited : (5)

References (8)
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    • S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials, Commun. Math. Sci., 3 (2005), 285-315.
    • (2005) Commun. Math. Sci. , vol.3 , pp. 285-315
    • Jin, S.1    Wen, X.2
  • 2
    • 33644952544 scopus 로고    scopus 로고
    • Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds
    • S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds, J. Comput. Phys., 214 (2006), 672-697.
    • (2006) J. Comput. Phys. , vol.214 , pp. 672-697
    • Jin, S.1    Wen, X.2
  • 3
    • 34548672178 scopus 로고    scopus 로고
    • A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections
    • S. Jin and X. Wen, A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections, SIAM J. Numer. Anal., 44 (2006), 1801-1828.
    • (2006) SIAM J. Numer. Anal. , vol.44 , pp. 1801-1828
    • Jin, S.1    Wen, X.2
  • 4
    • 33749590992 scopus 로고    scopus 로고
    • Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation
    • S. Jin and X. Wen, Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation, Wave Motion, 43: 8 (2006), 667-688.
    • (2006) Wave Motion , vol.43 , Issue.8 , pp. 667-688
    • Jin, S.1    Wen, X.2
  • 5
    • 84968519569 scopus 로고
    • 1-error estimate for monotone difference schemes
    • 1-error estimate for monotone difference schemes, Math. Comput., 64 (1995), 581-589.
    • (1995) Math. Comput. , vol.64 , pp. 581-589
    • Tang, T.1    Teng, Z.H.2
  • 6
    • 39749136585 scopus 로고    scopus 로고
    • 1-error estimates
    • 1-error estimates, J. Comput. Math., 26:1 (2008), 1-22.
    • (2008) J. Comput. Math. , vol.26 , Issue.1 , pp. 1-22
    • Wen, X.1    Jin, S.2
  • 7
    • 61349152299 scopus 로고    scopus 로고
    • 1-stability of a Hamiltonian-preserving scheme for the Liouville equation with discontinuous potentials
    • 1-stability of a Hamiltonian-preserving scheme for the Liouville equation with discontinuous potentials, J. Comput. Math., 27 (2009), 45-67.
    • (2009) J. Comput. Math. , vol.27 , pp. 45-67
    • Wen, X.1    Jin, S.2
  • 8
    • 55349149052 scopus 로고    scopus 로고
    • 1-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials
    • 1-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials, SIAM J. Numer. Anal., 46:5 (2008), 2688-2714.
    • (2008) SIAM J. Numer. Anal. , vol.46 , Issue.5 , pp. 2688-2714
    • Wen, X.1    Jin, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.