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Volumn 20, Issue 3, 2005, Pages 283-303

Variable time steps optimization of L ω-stable Crank-Nicolson method

Author keywords

[No Author keywords available]

Indexed keywords

CRANK-NICOLSON METHODS; DISCRETIZATION; EULER SECOND-ORDER TRAPEZOIDAL RULES; HEAT EQUATIONS;

EID: 22544452720     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1163/1569398054308595     Document Type: Article
Times cited : (16)

References (20)
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    • (2001) Numer. Math. , vol.90 , Issue.1 , pp. 1-18
    • Abdulle, A.1    Medovikov, A.2
  • 4
    • 0041023452 scopus 로고
    • Zolotarev problems connected with rational functions
    • A. A. Gonchar, Zolotarev problems connected with rational functions, Math. USSR Sb. (1969) 7, 623-635.
    • (1969) Math. USSR Sb. , vol.7 , pp. 623-635
    • Gonchar, A.A.1
  • 7
    • 0024884398 scopus 로고
    • Explicit difference schemes with time-variable steps for solution of stiff systems of equations
    • V. I. Lebedev, Explicit difference schemes with time-variable steps for solution of stiff systems of equations. Sov. J. Numer. Anal. Math. Modelling (1989) 4, No. 2, 111-135.
    • (1989) Sov. J. Numer. Anal. Math. Modelling , vol.4 , Issue.2 , pp. 111-135
    • Lebedev, V.I.1
  • 8
    • 0011004114 scopus 로고
    • The equations and convergence of a differential-difference method (the method of lines)
    • in Russian
    • V. I. Lebedev, The equations and convergence of a differential-difference method (the method of lines). Vestnik Moskov. Univ. (1955) 10, No. 10, 47-57 (in Russian).
    • (1955) Vestnik Moskov. Univ. , vol.10 , Issue.10 , pp. 47-57
    • Lebedev, V.I.1
  • 9
    • 22544467899 scopus 로고    scopus 로고
    • Method of second order accuracy with variable time steps
    • V. I. Lebedev and A. A. Medovikov, Method of second order accuracy with variable time steps. Russ. Math., Iz. VUZ (1998) 42, No. 9, 52-60.
    • (1998) Russ. Math., Iz. VUZ , vol.42 , Issue.9 , pp. 52-60
    • Lebedev, V.I.1    Medovikov, A.A.2
  • 10
    • 85053508463 scopus 로고
    • How to solve stiff systems of differential equations by explicit methods
    • CRC, Boca Raton, FL
    • V. I. Lebedev, How to solve stiff systems of differential equations by explicit methods. Numerical Methods and Applications, CRC, Boca Raton, FL, 1994, pp. 45-80.
    • (1994) Numerical Methods and Applications , pp. 45-80
    • Lebedev, V.I.1
  • 11
    • 22544437696 scopus 로고
    • Collection of works of Sobolev seminar 'Theory of quadrature formulas and applications in functional analysis in mathematical physics'. Novosibirsk IM CO AN USSR (in Russian).
    • V. I. Lebedev, Zolotarev Problem for ADI Methods. Collection of works of Sobolev seminar 'Theory of quadrature formulas and applications in functional analysis in mathematical physics'. Novosibirsk IM CO AN USSR, 1976, No.1 (in Russian).
    • (1976) Zolotarev Problem for ADI Methods , Issue.1
    • Lebedev, V.I.1
  • 13
    • 0000787948 scopus 로고    scopus 로고
    • High order explicit methods for parabolic equations
    • A. A. Medovikov, High order explicit methods for parabolic equations. BIT (1998) 38, No. 2, 372-390.
    • (1998) BIT , vol.38 , Issue.2 , pp. 372-390
    • Medovikov, A.A.1
  • 16
    • 0005653922 scopus 로고
    • Extended application of alternating direction implicit model problem theory
    • E. L. Wachspress, Extended application of alternating direction implicit model problem theory. SIAM J. Appl. Math. (1963) 11, No. 4, 994-1016.
    • (1963) SIAM J. Appl. Math. , vol.11 , Issue.4 , pp. 994-1016
    • Wachspress, E.L.1
  • 18
    • 22544432079 scopus 로고
    • Numerical solution of neutron diffusion problems
    • SIAM-AMS Proc., AMS, Providence, R. I.
    • E. L. Wachspress, Numerical solution of neutron diffusion problems. In: Numerical Solution of Field Problems in Continuum Physics. SIAM-AMS Proc., Vol. 2, AMS, Providence, R. I., 1970, pp. 175-185.
    • (1970) Numerical Solution of Field Problems in Continuum Physics , vol.2 , pp. 175-185
    • Wachspress, E.L.1
  • 20
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    • St. Petersburg Academy of Science 1877, (in Russian)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.