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Volumn 12, Issue 2-3, 2000, Pages 229-250

Diagonally implicit Runge-Kutta methods for 3D shallow water applications

Author keywords

DIRK methods; Numerical analysis; Shallow water problems; Stability

Indexed keywords


EID: 22844454450     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (13)
  • 1
    • 34250095643 scopus 로고
    • 0-acceptability of rational approximations to the exponentional function with only real poles
    • 0-acceptability of rational approximations to the exponentional function with only real poles, BIT 28 (1988) 70-79.
    • (1988) BIT , vol.28 , pp. 70-79
    • Bales, L.A.1    Karakashian, O.A.2    Serbin, S.M.3
  • 2
    • 0002612111 scopus 로고
    • A special family of Runge-Kutta methods for solving stiff differential equations
    • K. Burrage, A special family of Runge-Kutta methods for solving stiff differential equations, BIT 18 (1978) 22-41.
    • (1978) BIT , vol.18 , pp. 22-41
    • Burrage, K.1
  • 3
    • 0001288471 scopus 로고
    • On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae
    • J.R. Cash, On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae, Numer. Math. 34 (1980) 235-246.
    • (1980) Numer. Math. , vol.34 , pp. 235-246
    • Cash, J.R.1
  • 6
    • 0031275614 scopus 로고    scopus 로고
    • The iterative solution of fully implicit discretizations of three-dimensional transport models
    • P.J. van der Houwen, B.P. Sommeijer and J. Kok, The iterative solution of fully implicit discretizations of three-dimensional transport models, Appl. Numer. Math. 25 (1997) 243-256.
    • (1997) Appl. Numer. Math. , vol.25 , pp. 243-256
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2    Kok, J.3
  • 7
    • 27144543934 scopus 로고    scopus 로고
    • Factorization in block-triangularly implicit methods for shallow water applications
    • CWI, Amsterdam submitted for publication
    • P.J. van der Houwen and B.P. Sommeijer, Factorization in block-triangularly implicit methods for shallow water applications, Report MAS R9906, CWI, Amsterdam (1999, submitted for publication).
    • (1999) Report MAS , vol.R9906
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2
  • 9
    • 11744364536 scopus 로고
    • Semi-explicit Runge-Kutta methods
    • Department of Mathematics, University of Trondheim
    • S.P. Nørsett, Semi-explicit Runge-Kutta methods, Report Mathematics and Computation No. 6/74, Department of Mathematics, University of Trondheim (1974).
    • (1974) Report Mathematics and Computation No. 6/74 , vol.6-74
    • Nørsett, S.P.1
  • 10
    • 0039097449 scopus 로고
    • Attainable order of rational approximations to the exponential function with only real poles
    • S.P. Nørsett and A. Wolfbrandt, Attainable order of rational approximations to the exponential function with only real poles, BIT 17 (1977) 200-208.
    • (1977) BIT , vol.17 , pp. 200-208
    • Nørsett, S.P.1    Wolfbrandt, A.2
  • 11
    • 0002522618 scopus 로고    scopus 로고
    • The iterative solution of fully implicit discretizations of three-dimensional transport models
    • eds. C.A. Lin, A. Ecer, P. Fox, J. Periaux and N. Satofuka, Proceedings of the 10th Int. Conf. on Parallel CFD, May 1998, Hsinchu, Taiwan Elsevier, Amsterdam
    • B.P. Sommeijer, The iterative solution of fully implicit discretizations of three-dimensional transport models, in: Parallel Computational Fluid Dynamics - Development and Applications of Parallel Technology, eds. C.A. Lin, A. Ecer, P. Fox, J. Periaux and N. Satofuka, Proceedings of the 10th Int. Conf. on Parallel CFD, May 1998, Hsinchu, Taiwan (Elsevier, Amsterdam, 1999) pp. 67-74.
    • (1999) Parallel Computational Fluid Dynamics - Development and Applications of Parallel Technology , pp. 67-74
    • Sommeijer, B.P.1
  • 12
    • 0005695648 scopus 로고
    • A-stable parallel block methods for ordinary and integro-differential equations
    • B.P. Sommeijer, W. Couzy and P.J. van der Houwen, A-stable parallel block methods for ordinary and integro-differential equations, Appl. Numer. Math. 9 (1992) 267-281.
    • (1992) Appl. Numer. Math. , vol.9 , pp. 267-281
    • Sommeijer, B.P.1    Couzy, W.2    Van Der Houwen, P.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.