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Volumn 59, Issue 3-4, 2009, Pages 677-692

Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms

Author keywords

ADI splitting schemes; Diffusion equations; Finite difference methods; Fourier analysis; Initial boundary value problems; Numerical solution; von Neumann stability analysis

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFUSION; FINITE DIFFERENCE METHOD; FOURIER ANALYSIS; INITIAL VALUE PROBLEMS; NUMERICAL METHODS; THEOREM PROVING;

EID: 58249092840     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2008.03.016     Document Type: Article
Times cited : (95)

References (10)
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  • 2
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    • Craig, I.J.D.1    Sneyd, A.D.2
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    • On the numerical solution of heat conduction problems in two and three space variables
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    • (1956) Trans. Amer. Math. Soc. , vol.82 , pp. 421-439
    • Douglas, J.1    Rachford, H.H.2
  • 6
    • 33750505893 scopus 로고    scopus 로고
    • Stability of ADI schemes applied to convection-diffusion equations with mixed derivative terms
    • in 't Hout K.J., and Welfert B.D. Stability of ADI schemes applied to convection-diffusion equations with mixed derivative terms. Appl. Numer. Math. 57 (2007) 19-35
    • (2007) Appl. Numer. Math. , vol.57 , pp. 19-35
    • in 't Hout, K.J.1    Welfert, B.D.2
  • 7
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    • Accuracy and stability of splitting with stabilizing corrections
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    • Hundsdorfer, W.1
  • 8
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    • Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
    • Springer-Verlag, Berlin
    • Hundsdorfer W., and Verwer J.G. Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations. Springer Series in Computational Mathematics vol. 33 (2003), Springer-Verlag, Berlin
    • (2003) Springer Series in Computational Mathematics , vol.33
    • Hundsdorfer, W.1    Verwer, J.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.