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Volumn 17, Issue 1-4, 2002, Pages 211-220

Two Barriers on Strong-Stability-Preserving Time Discretization Methods

Author keywords

High order accuracy; Runge Kutta methods; Strong stability preserving; Time discretization; Total variation diminishing

Indexed keywords

COMPUTER SIMULATION; LINEAR EQUATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; RUNGE KUTTA METHODS; STABILITY; THEOREM PROVING;

EID: 0013150498     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1015156832269     Document Type: Conference Paper
Times cited : (95)

References (9)
  • 1
    • 0009619039 scopus 로고    scopus 로고
    • The Runge-Kutta theory in a nutshell
    • Albrecht, P. (1996). The Runge-Kutta theory in a nutshell. SIAM J. Numer. Anal. 33, 1712-1735.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1712-1735
    • Albrecht, P.1
  • 2
    • 1942448094 scopus 로고    scopus 로고
    • Strong stability preserving properties of Runge-Kutta time discretization methods for linear operators
    • to appear
    • Gottlieb, S., and Gottlieb, L.-A. J. (2001). Strong stability preserving properties of Runge-Kutta time discretization methods for linear operators. SIAM J. Numer. Anal., to appear.
    • (2001) SIAM J. Numer. Anal.
    • Gottlieb, S.1    Gottlieb, L.-A.J.2
  • 3
    • 0032345207 scopus 로고    scopus 로고
    • Total variation diminishing Runge-Kutta schemes
    • Gottlieb, S., and Shu, C. (1998). Total variation diminishing Runge-Kutta schemes. Math. Comput. 67, 73-85.
    • (1998) Math. Comput. , vol.67 , pp. 73-85
    • Gottlieb, S.1    Shu, C.2
  • 4
    • 0035273564 scopus 로고    scopus 로고
    • Strong-stability-preserving high-order time discretization methods
    • Gottlieb, S., Shu, C.-W., and Tadmor, E. (2001). Strong-stability- preserving high-order time discretization methods. SIAM Rev. 43, 89-112.
    • (2001) SIAM Rev. , vol.43 , pp. 89-112
    • Gottlieb, S.1    Shu, C.-W.2    Tadmor, E.3
  • 6
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretizations
    • Shu, C.-W. (1988). Total-variation-diminishing time discretizations. SIAM J. Sci. Statist. Comput. 9, 1073-1084.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 1073-1084
    • Shu, C.-W.1
  • 7
    • 45449125925 scopus 로고
    • Efficient implementation of essentially nonoscillatory shock-capturing schemes
    • Shu, C.-W., and Osher, S. (1988). Efficient implementation of essentially nonoscillatory shock-capturing schemes. J. Comput. Phys. 77, 439-471.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.