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Volumn 45, Issue 1-3, 2003, Pages 53-67

The positivity of low-order explicit Runge-Kutta schemes applied in splitting methods

Author keywords

Differential equations; Explicit Runge Kutta methods; Positivity; Splitting methods

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; INITIAL VALUE PROBLEMS; INTEGRATION; OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0037284513     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)80007-X     Document Type: Article
Times cited : (16)

References (15)
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  • 2
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    • Hundsdorfer, W.1
  • 4
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    • On the construction and comparison of difference schemes
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    • Strang, G.1
  • 6
    • 0032183717 scopus 로고    scopus 로고
    • Positivity of Runge-Kutta and diagonally split Runge-Kutta methods
    • Z. Horváth, Positivity of Runge-Kutta and diagonally split Runge-Kutta methods, Appl. Numer. Math. 28 (2-4), 309-326, (1998).
    • (1998) Appl. Numer. Math. , vol.28 , Issue.2-4 , pp. 309-326
    • Horváth, Z.1
  • 7
    • 0034580605 scopus 로고    scopus 로고
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    • Hundsdorfer, W.1
  • 8
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    • Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
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    • (1978) RAIRO Anal. Numer. , vol.12 , Issue.3 , pp. 237-245
    • Bolley, C.1    Crouzeix, M.2
  • 9
    • 0001813542 scopus 로고
    • Absolute monotonicity of polynomials occurring in the numerical solution of initial value problems
    • J.F.B.M. Kraaijevanger, Absolute monotonicity of polynomials occurring in the numerical solution of initial value problems, Numer. Math. 48 (3), 303-322, (1986).
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  • 10
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    • Contractivity of Runge-Kutta methods
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  • 15
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    • A second-order Rosenbrock method applied to photochemical dispersion problems
    • J.G. Verwer, E.J. Spee, J.G. Blom and W. Hundsdorfer, A second-order Rosenbrock method applied to photochemical dispersion problems, SIAM J. Sci. Comput. 20 (4), 1456-1480, (1999).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.