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Volumn 29, Issue 3, 2006, Pages 375-404

Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation

Author keywords

Artificial dissipation; Energy estimate; Finite differences; Stability; Variable coefficients

Indexed keywords

COMPUTATION THEORY; FINITE DIFFERENCE METHOD; LINEAR EQUATIONS; PROBLEM SOLVING; STABILITY;

EID: 33845494937     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-005-9013-4     Document Type: Article
Times cited : (133)

References (10)
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    • Spectral methods on arbitrary grids
    • Carpenter, M. H., and Gottlieb, D. (1996). Spectral methods on arbitrary grids. J. Comput. Phys. 129, 74-86.
    • (1996) J. Comput. Phys. , vol.129 , pp. 74-86
    • Carpenter, M.H.1    Gottlieb, D.2
  • 3
    • 0001439584 scopus 로고
    • The stability of numerical boundary treatments for compact high-order finite difference schemes
    • Carpenter, M. H., Gottlieb, D., and Abarbanel, S. (1994). The stability of numerical boundary treatments for compact high-order finite difference schemes. J. Comput. Phys. 108(2), 272-295.
    • (1994) J. Comput. Phys. , vol.108 , Issue.2 , pp. 272-295
    • Carpenter, M.H.1    Gottlieb, D.2    Abarbanel, S.3
  • 4
    • 0000926967 scopus 로고    scopus 로고
    • A stable and conservative interface treatment of arbitrary spatial accuracy
    • Carpenter M. H, Nordström, J., and Gottlieb, D. (1999). A stable and conservative interface treatment of arbitrary spatial accuracy. J. Comput. Phys. 148, 341-365.
    • (1999) J. Comput. Phys. , vol.148 , pp. 341-365
    • Carpenter, M.H.1    Nordström, J.2    Gottlieb, D.3
  • 8
    • 4544273333 scopus 로고    scopus 로고
    • Finite difference approximations of second derivatives on summation by parts form
    • Mattson K., and Nordström, J. (2004). Finite difference approximations of second derivatives on summation by parts form. J. Comput. Phys., 199, 503-540.
    • (2004) J. Comput. Phys. , vol.199 , pp. 503-540
    • Mattson, K.1    Nordström, J.2
  • 9
    • 4544230753 scopus 로고    scopus 로고
    • Stable and accurate artificial dissipation
    • Mattson, K., Svärd, M. and Nordström, J. (2004). Stable and accurate artificial dissipation. J. Sci. Comput. 21(1), 57-79.
    • (2004) J. Sci. Comput. , vol.21 , Issue.1 , pp. 57-79
    • Mattson, K.1    Svärd, M.2    Nordström, J.3
  • 10
    • 0002449864 scopus 로고
    • Summation by parts for finite difference approximations for d/dx
    • Strand, B. (1994). Summation by parts for finite difference approximations for d/dx. J. Comput. Phys. 110, 47-67.
    • (1994) J. Comput. Phys. , vol.110 , pp. 47-67
    • Strand, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.