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Volumn 158, Issue 1, 2003, Pages 19-30

Qualitatively stable finite difference schemes for advection-reaction equations

Author keywords

Advection reaction equations; Nonstandard finite difference method; Stability with respect to a property

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; NUMERICAL METHODS;

EID: 0042284838     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00468-0     Document Type: Article
Times cited : (28)

References (11)
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    • On the mathematical foundation of the nonstandard finite difference method
    • B. Fiedler, K. Gröger, J. Sprekels (Eds.), World Scientific, Singapore
    • R. Anguelov, J.M.-S. Lubuma, On the mathematical foundation of the nonstandard finite difference method, in: B. Fiedler, K. Gröger, J. Sprekels (Eds.), Proceedings of the International Conference on Differential Equations EQUADIFF'99, World Scientific, Singapore, 2000, pp. 1401-1403.
    • (2000) Proceedings of the International Conference on Differential Equations EQUADIFF'99 , pp. 1401-1403
    • Anguelov, R.1    Lubuma, J.M.-S.2
  • 2
    • 0035449292 scopus 로고    scopus 로고
    • Contributions to the mathematics of the nonstandard finite difference method and applications
    • Anguelov R. Lubuma J.M.-S. Contributions to the mathematics of the nonstandard finite difference method and applications Numer. Methods Partial Differential Equations 17 2001 518-543
    • (2001) Numer. Methods Partial Differential Equations , vol.17 , pp. 518-543
    • Anguelov, R.1    Lubuma, J.M.-S.2
  • 4
    • 0009568068 scopus 로고
    • Mathematical analysis and numerical methods for science and technology
    • Berlin: Springer
    • Dautray R. Lions J.L. Mathematical analysis and numerical methods for science and technology Evolution Problems II Vol. 6 1993 Springer Berlin
    • (1993) Evolution Problems II , vol.6
    • Dautray, R.1    Lions, J.L.2
  • 5
    • 0012741562 scopus 로고    scopus 로고
    • Nonstandard methods for advection-diffusion-reaction equations
    • R. E. Mickens (Ed.), Singapore: World Scientific
    • Kojouharov H.V. Chen B.M. Nonstandard methods for advection-diffusion-reaction equations Mickens R.E. Applications of Nonstandard Finite Difference Schemes 2000 55-108 World Scientific Singapore
    • (2000) Applications of Nonstandard Finite Difference Schemes , pp. 55-108
    • Kojouharov, H.V.1    Chen, B.M.2
  • 7
    • 0031247459 scopus 로고    scopus 로고
    • Exact finite difference schemes for two-dimensional advection equations
    • Mickens R.E. Exact finite difference schemes for two-dimensional advection equations J. Sound Vib. 207 1997 426-428
    • (1997) J. Sound Vib. , vol.207 , pp. 426-428
    • Mickens, R.E.1
  • 8
    • 0000026804 scopus 로고    scopus 로고
    • Nonstandard finite difference schemes: A status report
    • Y. C. Teng, E. C. Shang, Y. H. Pao, M. H. Schultz, and A. D. Pierce (Eds.), Singapore: World Scientific
    • Mickens R.E. Nonstandard finite difference schemes: a status report Teng Y.C. Shang E.C. Pao Y.H. Schultz M.H. Pierce A.D. Theoretical and Computational Acoustics Vol. 97 1999 419-428 World Scientific Singapore
    • (1999) Theoretical and Computational Acoustics , vol.97 , pp. 419-428
    • Mickens, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.