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Volumn 112, Issue 1, 2000, Pages 63-73

Lanczos' generalized derivative: Insights and Applications

Author keywords

65M06; 65M12; Finite interpolation methods; Hydrocodes; Lanczos' derivative; Material dynamics; Smoothed particle hydrodynamics

Indexed keywords


EID: 0038193604     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00048-X     Document Type: Article
Times cited : (14)

References (15)
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  • 2
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    • Lanczos generalized derivative
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    • (1998) Amer. Math. Monthly , vol.105 , pp. 320-326
    • Groetsch, C.W.1
  • 3
    • 36849141514 scopus 로고
    • A method for the numerical calculation of hydrodynamic shocks
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    • (1950) J. Appl. Phys. , vol.21 , pp. 232
    • Von Neumann, J.1    Richtmyer, R.2
  • 4
    • 84966233595 scopus 로고
    • Stability analysis of WONDY (a hydrocode based on the artificial viscosity method of von Neumann and Richtmyer) for a special case of Maxwell's material law
    • Hicks D.L. Stability analysis of WONDY (a hydrocode based on the artificial viscosity method of von Neumann and Richtmyer) for a special case of Maxwell's material law. Math. Comput. 32:1978;1123-1130.
    • (1978) Math. Comput. , vol.32 , pp. 1123-1130
    • Hicks, D.L.1
  • 5
    • 0026173070 scopus 로고
    • Error bounds for numerical solutions of hydrodynamical problems including shocks
    • Hicks D.L., Kuttler K.L. Error bounds for numerical solutions of hydrodynamical problems including shocks. SIAM J. Numer. Anal. 28:1991;662-684.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 662-684
    • Hicks, D.L.1    Kuttler, K.L.2
  • 7
    • 0000113860 scopus 로고
    • Smoothed particle hydrodynamics stability analysis
    • Swegle J.W., Hicks D.L., Attaway S.W. Smoothed particle hydrodynamics stability analysis. J. Comp. Phys. 116:1995;123.
    • (1995) J. Comp. Phys. , vol.116 , pp. 123
    • Swegle, J.W.1    Hicks, D.L.2    Attaway, S.W.3
  • 9
    • 0040335997 scopus 로고
    • Computer models of colliding galaxies
    • Barnes J.E., Hernquist L.E. Computer models of colliding galaxies. Phys. Today. 46:1993;54-61.
    • (1993) Phys. Today , vol.46 , pp. 54-61
    • Barnes, J.E.1    Hernquist, L.E.2
  • 10
    • 0002716093 scopus 로고
    • Smooth particle hydrodynamics
    • in: J.R. Buchler (Ed.), Kluwer Academic Publishers, Dordrecht
    • W. Benz, Smooth particle hydrodynamics, in: J.R. Buchler (Ed.), A review, Numerical Modelling of Stellar Pulsation, Kluwer Academic Publishers, Dordrecht, 1990, p. 269.
    • (1990) A Review, Numerical Modelling of Stellar Pulsation , pp. 269
    • Benz, W.1
  • 11
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and applications to nonspherical stars
    • Gingold R.A., Monaghan J.J. Smoothed particle hydrodynamics: theory and applications to nonspherical stars. Mon. Not. Astr. Soc. 181:1977;375.
    • (1977) Mon. Not. Astr. Soc. , vol.181 , pp. 375
    • Gingold, R.A.1    Monaghan, J.J.2
  • 12
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    • A numerical approach to the testing of the fission hypothesis
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    • (1977) Astr. J. , vol.82 , pp. 1013
    • Lucy, L.B.1
  • 13
    • 0000530706 scopus 로고    scopus 로고
    • Conservative smoothing stabilizes discrete-numerical instabilities in SPH material dynamics computations
    • Hicks D.L., Swegle and J.W., Attaway S.W. Conservative smoothing stabilizes discrete-numerical instabilities in SPH material dynamics computations. Appl. Math. Comput. 85:1997;209-226.
    • (1997) Appl. Math. Comput. , vol.85 , pp. 209-226
    • Hicks, D.L.1    Swegle, J.W.2    Attaway, S.W.3
  • 15
    • 0040335998 scopus 로고
    • in: W. Miller (Eds.), Los Alamos National Lab. Report, LA-UR-93-4375
    • C. Wingate, in: W. Miller (Eds.), Proceedings of Workshop on Advances in SPH, Los Alamos National Lab. Report, LA-UR-93-4375, 1993, pp. 21-23.
    • (1993) Proceedings of Workshop on Advances in SPH , pp. 21-23
    • Wingate, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.