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Volumn 14, Issue 2, 2004, Pages 165-187

An explicit subparametric spectral element method of lines applied to a tumour angiogenesis system of partial differential equations

Author keywords

Spectral element method of lines; Stiff ODEs; Tumour angiogenesis

Indexed keywords


EID: 2542448854     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202504003155     Document Type: Article
Times cited : (13)

References (11)
  • 1
    • 0032170064 scopus 로고    scopus 로고
    • Continuous and discrete mathematical models of tumour-induced angiogenesis
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    • (1998) Bull. Math. Biol. , vol.60 , pp. 555-597
    • Anderson, A.R.A.1    Chaplain, M.A.J.2
  • 4
    • 0024917277 scopus 로고
    • Spectral element methods for the incompressible Navier-Stokes equations
    • eds. A. K. Noor and J. T. Oden ASME
    • Y. Maday and A. T. Patera, Spectral element methods for the incompressible Navier-Stokes equations, in State of the Art Surveys on Computational Mechanics, eds. A. K. Noor and J. T. Oden (ASME, 1987), pp. 71-143.
    • (1987) State of the Art Surveys on Computational Mechanics , pp. 71-143
    • Maday, Y.1    Patera, A.T.2
  • 5
    • 0030640666 scopus 로고    scopus 로고
    • The spectral element method for the shallow water equations on the sphere
    • M. Taylor, J. Tribbia and M. Iskandarani, The spectral element method for the shallow water equations on the sphere, J. Comput. Phys. 130 (1997) 92-108.
    • (1997) J. Comput. Phys. , vol.130 , pp. 92-108
    • Taylor, M.1    Tribbia, J.2    Iskandarani, M.3
  • 6
    • 0001272090 scopus 로고
    • A spectral element basin model for the shallow water equations
    • H. Ma, A spectral element basin model for the shallow water equations, J. Comput. Phys. 109 (1993) 133-149.
    • (1993) J. Comput. Phys. , vol.109 , pp. 133-149
    • Ma, H.1
  • 7
    • 0000028027 scopus 로고
    • An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
    • K. Z. Korczak and A. T. Patera, An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry, J. Comput. Phys. 62 (1986) 361-382.
    • (1986) J. Comput. Phys. , vol.62 , pp. 361-382
    • Korczak, K.Z.1    Patera, A.T.2
  • 8
    • 0038069060 scopus 로고    scopus 로고
    • Computing highly accurate solutions of a tumour angiogenesis model
    • J. Valenciano and M. A. J. Chaplain, Computing highly accurate solutions of a tumour angiogenesis model, Math. Models Methods Appl. Sci. 13 (2003) 747-766.
    • (2003) Math. Models Methods Appl. Sci. , vol.13 , pp. 747-766
    • Valenciano, J.1    Chaplain, M.A.J.2
  • 9
    • 0000686693 scopus 로고
    • Transfinite element methods: Blending function interpolation over arbitrary curved element domains
    • W. J. Gordon and C. A. Hall, Transfinite element methods: Blending function interpolation over arbitrary curved element domains, Numer. Math. 21 (1973) 109-129.
    • (1973) Numer. Math. , vol.21 , pp. 109-129
    • Gordon, W.J.1    Hall, C.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.