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Volumn 27, Issue 1-3, 2006, Pages 289-303

Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations

Author keywords

Linear multistep methods; Runge Kutta methods; Strong stability preserving; Time discretization; Total variation diminishing

Indexed keywords

LINEAR MULTISTEP METHODS; STRONG-STABILITY-PRESERVING; TIME DISCRETIZATION; TOTAL-VARIATION-DIMINISHING; WEIGHTED ESSENTIALLY NON-OSCILLATORY METHOD;

EID: 33745013415     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-005-9054-8     Document Type: Conference Paper
Times cited : (30)

References (13)
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  • 2
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    • Gottlieb, S.1    Shu, C.-W.2    Tadmor, E.3
  • 4
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    • Jiang, G.-S.1    Shu, C.-W.2
  • 5
    • 2342573328 scopus 로고
    • Contractivity preserving explicit linear multistep methods
    • Lenferink, H. W. J. (1989). Contractivity preserving explicit linear multistep methods. Numer. Math. 55, 213-223.
    • (1989) Numer. Math. , vol.55 , pp. 213-223
    • Lenferink, H.W.J.1
  • 7
    • 32944469214 scopus 로고    scopus 로고
    • Global optimization of explicit strong-stability-preserving Runge-Kutta schemes
    • Ruuth, S. J. (2006). Global optimization of explicit strong-stability- preserving Runge-Kutta schemes. Math. Comp. 75, 183-207.
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    • Ruuth, S.J.1
  • 8
    • 20344378674 scopus 로고    scopus 로고
    • High-order linear multistep methods with general monotonicity and boundedness properties
    • Ruuth, S. J., and Hundsdorfer, W. (2005). High-order linear multistep methods with general monotonicity and boundedness properties. J. Comput. Phys. 209(1), 226-248.
    • (2005) J. Comput. Phys. , vol.209 , Issue.1 , pp. 226-248
    • Ruuth, S.J.1    Hundsdorfer, W.2
  • 9
    • 14844365146 scopus 로고    scopus 로고
    • High-order strong-stability-preserving Runge-Kutta methods with downwind-biased spatial discretizations
    • Ruuth, S. J., and Spiteri, R. J. (2004). High-order strong-stability- preserving Runge-Kutta methods with downwind-biased spatial discretizations. SIAM J. Numer. Anal 42 (3), 974-996.
    • (2004) SIAM J. Numer. Anal , vol.42 , Issue.3 , pp. 974-996
    • Ruuth, S.J.1    Spiteri, R.J.2
  • 10
    • 45449125925 scopus 로고    scopus 로고
    • Efficient implementation of essentially nonoscillatory shock-capturing schemes
    • Shu, C. W., and Osher, S. (1998). Efficient implementation of essentially nonoscillatory shock-capturing schemes. J. Comput. Phys. 77(2), 439-471.
    • (1998) J. Comput. Phys. , vol.77 , Issue.2 , pp. 439-471
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  • 11
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  • 12
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    • A new class of optimal high-order strong-stability-preserving time-stepping schemes
    • Spiteri, R. J., and Ruuth, S. J. (2002). A new class of optimal high-order strong-stability-preserving time-stepping schemes. SIAM J. Numer. Anal. 40, 469-491.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.