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Volumn 62, Issue 1-2, 2003, Pages 125-135

Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods

Author keywords

Evolution; Optimal; SSP

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0037434586     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(02)00179-9     Document Type: Conference Paper
Times cited : (96)

References (15)
  • 1
    • 0000496713 scopus 로고    scopus 로고
    • On the removal of boundary errors caused by Runge-Kutta integration of non-linear partial differential equations
    • Abarbanel S., Gottlieb D., Carpenter M.H., On the removal of boundary errors caused by Runge-Kutta integration of non-linear partial differential equations. SIAM J. Sci. Comput. 17:1996;777-782.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 777-782
    • Abarbanel, S.1    Gottlieb, D.2    Carpenter, M.H.3
  • 4
    • 0032345207 scopus 로고    scopus 로고
    • Total-variation-diminishing Runge-Kutta schemes
    • Gottlieb S., Shu C., Total-variation-diminishing Runge-Kutta schemes. Math. Comput. 67:1998;73-85.
    • (1998) Math. Comput. , vol.67 , pp. 73-85
    • Gottlieb, S.1    Shu, C.2
  • 5
    • 0035273564 scopus 로고    scopus 로고
    • Strong-stability-preserving high-order time discretization methods
    • Gottlieb S., Shu C.-W., Tadmor E., Strong-stability-preserving high-order time discretization methods. SIAM Rev. 43:2001;89-112.
    • (2001) SIAM Rev. , vol.43 , pp. 89-112
    • Gottlieb, S.1    Shu, C.-W.2    Tadmor, E.3
  • 7
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Jiang G.-S., Shu C., Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126:1996;202-228.
    • (1996) J. Comput. Phys. , vol.126 , pp. 202-228
    • Jiang, G.-S.1    Shu, C.2
  • 10
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu X.-D., Osher S., Chan T., Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115:1994;200-212.
    • (1994) J. Comput. Phys. , vol.115 , pp. 200-212
    • Liu, X.-D.1    Osher, S.2    Chan, T.3
  • 11
    • 0001238444 scopus 로고
    • Very high-order accurate TVD schemes
    • C. Dafermos, J. Erikson, D. Kinderlehrer, M. Slemrod (Eds.), Oscillation Theory, Computation, and Methods of Compensated Compactness. Springer, New York
    • S. Osher, S. Chakravarthy, Very high-order accurate TVD schemes, in: C. Dafermos, J. Erikson, D. Kinderlehrer, M. Slemrod (Eds.), Oscillation Theory, Computation, and Methods of Compensated Compactness. The IMA Volumes in Mathematics and Its Applications, vol. 2, Springer, New York, 1986, pp. 229-271.
    • (1986) The IMA Volumes in Mathematics and Its Applications , vol.2 , pp. 229-271
    • Osher, S.1    Chakravarthy, S.2
  • 12
    • 0013150498 scopus 로고    scopus 로고
    • Two barriers on strong-stability-preserving time discretization methods
    • Ruuth S., Spiteri R., Two barriers on strong-stability-preserving time discretization methods. J. Sci. Comput. 17:2002;211-220.
    • (2002) J. Sci. Comput. , vol.17 , pp. 211-220
    • Ruuth, S.1    Spiteri, R.2
  • 13
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretizations
    • Shu C.-W., Total-variation-diminishing time discretizations. SIAM J. Sci. Statist. Comput. 9:1988;1073-1084.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 1073-1084
    • Shu, C.-W.1
  • 14
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C.-W., Osher S., Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77:1988;439-471.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 15
    • 0001118530 scopus 로고    scopus 로고
    • A new class of optimal high-order strong-stability-preserving time-stepping schemes
    • Spiteri R.J., Ruuth S.J., A new class of optimal high-order strong-stability-preserving time-stepping schemes. SIAM J. Numer. Anal. 40:2002;469-491.
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 469-491
    • Spiteri, R.J.1    Ruuth, S.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.