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Volumn 6, Issue 2-3, 2004, Pages 53-57

A note on B-stability of splitting methods

Author keywords

[No Author keywords available]

Indexed keywords

INITIAL VALUE PROBLEMS; MATHEMATICAL OPERATORS;

EID: 33645981662     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s00791-003-0108-x     Document Type: Article
Times cited : (15)

References (14)
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    • Implicit-explicit methods for time-dependent partial differential equations
    • Ascher, U.M., Ruuth, S.J., Wetton, B.T.R.: Implicit-explicit methods for time-dependent partial differential equations. SIAM J. Numer. Anal. 32, 797-823 (1995)
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 797-823
    • Ascher, U.M.1    Ruuth, S.J.2    Wetton, B.T.R.3
  • 3
    • 0001564321 scopus 로고
    • Dangers of multiple time step methods
    • Biesiadecki, J.J., Skeel, R.D.: Dangers of multiple time step methods. J. Comput. Phys. 109, 318-328 (1993)
    • (1993) J. Comput. Phys. , vol.109 , pp. 318-328
    • Biesiadecki, J.J.1    Skeel, R.D.2
  • 4
    • 0035400322 scopus 로고    scopus 로고
    • Stability results for fractional step discretization of time dependent coefficient evolutionary problems
    • Bujanda, B., Jorge, J.C.: Stability results for fractional step discretization of time dependent coefficient evolutionary problems. Appl. Numer. Math. 38, 69-85 (2001)
    • (2001) Appl. Numer. Math. , vol.38 , pp. 69-85
    • Bujanda, B.1    Jorge, J.C.2
  • 5
    • 0002351173 scopus 로고
    • Stability criteria for implicit runge-kutta methods
    • Burrage, K., Butcher, J.C.: Stability criteria for implicit Runge-Kutta methods. SIAM J. Numer. Anal. 16, 46-57 (1979)
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 46-57
    • Burrage, K.1    Butcher, J.C.2
  • 6
    • 0016647175 scopus 로고
    • A stability property of implicit runge-kutta methods
    • Butcher, J.C.: A stability property of implicit Runge-Kutta methods. BIT 15, 358-361 (1975)
    • (1975) BIT , vol.15 , pp. 358-361
    • Butcher, J.C.1
  • 7
    • 84966243678 scopus 로고
    • Additive methods for the numerical solution of ordinary differential equations
    • Cooper, G.J., Sayfy, A.: Additive methods for the numerical solution of ordinary differential equations. Math. Comput. 35, 1159-1172 (1980)
    • (1980) Math. Comput. , vol.35 , pp. 1159-1172
    • Cooper, G.J.1    Sayfy, A.2
  • 8
    • 0002089844 scopus 로고
    • Sul la b-stabilité desméthodes de runge-kutta
    • Crouzeix, M.: Sul la B-stabilité desméthodes de Runge-Kutta. Numer. Math. 32, 75-82 (1979)
    • (1979) Numer. Math. , vol.32 , pp. 75-82
    • Crouzeix, M.1
  • 9
    • 0005584434 scopus 로고    scopus 로고
    • Numerical solution of reservoir flow models based on large time step operator splitting algorithms
    • Berlin: Springer-Verlag
    • Espedal, M.S., Karlsen, K.H.: Numerical solution of reservoir flow models based on large time step operator splitting algorithms. Filtration in Porous Media and Industrial Applications, Lecture Notes in Math., No. 1734, Berlin: Springer-Verlag 2000, pp. 9-77
    • (2000) Filtration in Porous Media and Industrial Applications Lecture Notes in Math. , Issue.1734 , pp. 9-77
    • Espedal, M.S.1    Karlsen, K.H.2
  • 11
    • 0042139035 scopus 로고    scopus 로고
    • Time integration of the shallow water equations in spherical geometry
    • Lanser, D., Bloom, J.G., Verwer, J.G.: Time integration of the shallow water equations in spherical geometry. J. Comput. Phys. 171, 1-21 (2001)
    • (2001) J. Comput. Phys. , vol.171 , pp. 1-21
    • Lanser, D.1    Bloom, J.G.2    Verwer, J.G.3
  • 13
    • 0000752883 scopus 로고    scopus 로고
    • A semi-implicit numerical scheme for reacting flow i. Stiff chemistry
    • Najm, H.N., Wyckoff, P.S., Knio, O.M.: A semi-implicit numerical scheme for reacting flow I. Stiff chemistry. J. Comput. Phys. 134, 381-402 (1998)
    • (1998) J. Comput. Phys. , vol.134 , pp. 381-402
    • Najm, H.N.1    Wyckoff, P.S.2    Knio, O.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.