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Volumn 58, Issue 2, 1997, Pages 173-185

Multirate extrapolation methods for differential equations with different time scales

Author keywords

Extrapolation; Multiple time stepping; Multirate methods; Ordinary differential equations

Indexed keywords

COMPUTER OPERATING PROCEDURES; COMPUTER SIMULATION; FORTRAN (PROGRAMMING LANGUAGE); INTEGRATION; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0030686834     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02684438     Document Type: Article
Times cited : (73)

References (11)
  • 1
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    • Dangers of multiple time step methods
    • Biesiadecki, J. J., Skeel, R. D.: Dangers of multiple time step methods. J. Comp. Phys. 109, 318-328 (1993).
    • (1993) J. Comp. Phys. , vol.109 , pp. 318-328
    • Biesiadecki, J.J.1    Skeel, R.D.2
  • 2
    • 0001621704 scopus 로고
    • Order and stepsize control in extrapolation methods
    • Deuflhard P.: Order and stepsize control in extrapolation methods. Numer. Math. 41, 399-422 (1983).
    • (1983) Numer. Math. , vol.41 , pp. 399-422
    • Deuflhard, P.1
  • 3
    • 0021554296 scopus 로고
    • Multirate linear multistep methods
    • Gear, C. W., Wells, R. R.: Multirate linear multistep methods. BIT 24, 484-502 (1984).
    • (1984) BIT , vol.24 , pp. 484-502
    • Gear, C.W.1    Wells, R.R.2
  • 4
    • 0002660695 scopus 로고
    • Multirate ROW-methods and latency of electric circuits
    • Günther, M., Rentrop, P.: Multirate ROW-methods and latency of electric circuits. Appl. Numer. Math. 13, 83-102 (1993).
    • (1993) Appl. Numer. Math. , vol.13 , pp. 83-102
    • Günther, M.1    Rentrop, P.2
  • 5
    • 0003195869 scopus 로고
    • Solving ordinary differential equations I
    • Springer Series in Computational Mathematics 8, Berlin Heidelberg New York Tokyo: Springer
    • Hairer, E., Nørsett, S. P., Wanner, G.: Solving ordinary differential equations I. Nonstiff problems, 2nd revised ed. Springer Series in Computational Mathematics 8, Berlin Heidelberg New York Tokyo: Springer, 1993.
    • (1993) Nonstiff Problems, 2nd Revised Ed.
    • Hairer, E.1    Nørsett, S.P.2    Wanner, G.3
  • 6
    • 0040429130 scopus 로고
    • Dense output for extrapolation methods
    • Hairer, E., Ostermann, A.: Dense output for extrapolation methods. Numer. Math. 58, 419-439 (1990).
    • (1990) Numer. Math. , vol.58 , pp. 419-439
    • Hairer, E.1    Ostermann, A.2
  • 7
  • 10
    • 0004155839 scopus 로고
    • Split Runge-Kutta methods for simultaneous equations
    • Rice, R. C.: Split Runge-Kutta methods for simultaneous equations. J. Res. Natl. Bur. Standards. 64B, 151-170 (1960).
    • (1960) J. Res. Natl. Bur. Standards. , vol.64 B , pp. 151-170
    • Rice, R.C.1
  • 11
    • 0005117780 scopus 로고
    • Stability properties of backward Euler multirate formulas
    • Skelboe, S., Andersen, P. U.: Stability properties of backward Euler multirate formulas. SIAM J. Sci. Stat. Comp. 10, 1000-1009 (1989).
    • (1989) SIAM J. Sci. Stat. Comp. , vol.10 , pp. 1000-1009
    • Skelboe, S.1    Andersen, P.U.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.