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Volumn 34, Issue 1, 1997, Pages 376-388

Stability analysis of an odd-even-line hopscotch method for three-dimensional advection-diffusion problems

(2)  Verwer, J G a   Sommeijer, B P b  

b NONE

Author keywords

Numerical methods; Odd even line hopscotch method; Stability; Time dependent advection diffusion

Indexed keywords


EID: 0346539718     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994276979     Document Type: Article
Times cited : (5)

References (12)
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  • 2
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    • Some recent methods for the numerical solution of time-dependent partial differential equations
    • A. R. GOURLAY, Some recent methods for the numerical solution of time-dependent partial differential equations, Proc. Roy. Soc. London Ser. A, 323 (1971), pp. 219-235.
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  • 3
    • 0346535424 scopus 로고
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    • A. R. GOURLAY AND J. LL. MORRIS, Hopscotch difference methods for nonlinear hyperbolic systems, IBM J. Res. Develop., 16 (1972). pp. 349-353.
    • (1972) IBM J. Res. Develop. , vol.16 , pp. 349-353
    • Gourlay, A.R.1    Morris, J.L.L.2
  • 4
    • 0346535423 scopus 로고
    • Splitting methods for time-dependent partial differential equations
    • D. Jacobs, ed., Academic Press, New York
    • A. R. GOURLAY, Splitting methods for time-dependent partial differential equations, in The State of the Art in Numerical Analysis. D. Jacobs, ed., Academic Press, New York, 1977, pp. 757-791.
    • (1977) The State of the Art in Numerical Analysis , pp. 757-791
    • Gourlay, A.R.1
  • 5
    • 0021229075 scopus 로고
    • The stability of explicit Euler time-integration for certain finite-difference approximations of the multi-dimensional advectioni-diffusion equation
    • A. C. HINDMARSH, P. M. GRESHO, AND D. F. GRIFFITHS, The stability of explicit Euler time-integration for certain finite-difference approximations of the multi-dimensional advectioni-diffusion equation, Internat. J. Numer. Methods Fluids, 4 (1984), pp. 853-897.
    • (1984) Internat. J. Numer. Methods Fluids , vol.4 , pp. 853-897
    • Hindmarsh, A.C.1    Gresho, P.M.2    Griffiths, D.F.3
  • 6
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    • On the location of zeros of certain classes of polynomials with applications to numerical analysis
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    • Miller, J.J.H.1
  • 7
    • 0019017735 scopus 로고
    • Stability of finite difference approximations to a diffusion-convection equation
    • K. W. MORTON, Stability of finite difference approximations to a diffusion-convection equation, Internat. J. Numer. Methods Engrg., 15 (1980), pp. 677-683.
    • (1980) Internat. J. Numer. Methods Engrg. , vol.15 , pp. 677-683
    • Morton, K.W.1
  • 8
    • 0003245646 scopus 로고
    • Difference Methods for Initial Value Problems
    • New York
    • R. D. RICHTMYER AND K. W. MORTON. Difference Methods for Initial Value Problems, Interscience, New York, 1967.
    • (1967) Interscience
    • Richtmyer, R.D.1    Morton, K.W.2
  • 9
    • 0039641320 scopus 로고
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    • (1975) J. Comput. Phys. , vol.18 , pp. 465-470
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  • 10
    • 0004655289 scopus 로고
    • Time integration of three-dimensional numerical, transport models
    • B. P. SOMMEIJER, P. J. VAN DER Houwen, AND J. KOK, Time integration of three-dimensional numerical, transport models. Appl. Numer. Math., 16 (1994), pp. 201-225.
    • (1994) Appl. Numer. Math. , vol.16 , pp. 201-225
    • Sommeijer, B.P.1    Van Der Houwen, P.J.2    Kok, J.3
  • 11
    • 0029413462 scopus 로고
    • Implementation and performance of the time integration of a 3D numerical transport model
    • B. P. SOMMEIJER AND J. KOK, Implementation and performance of the time integration of a 3D numerical transport model, Internat. J. Numer. Methods Fluids. 21 (1995), pp. 349-367.
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  • 12
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    • On the. odd-even hopscotch scheme for the numerical integration of time-dependent partial differential equations
    • J. H. M. TEN THIJE BOONKKAMP AND J. G. VERWER, On the. odd-even hopscotch scheme for the numerical integration of time-dependent partial differential equations, Appl. Numer. Math., 3 (1987). pp. 183-193.
    • (1987) Appl. Numer. Math. , vol.3 , pp. 183-193
    • Ten Thije Boonkkamp, J.H.M.1    Verwer, J.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.