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Volumn 11, Issue 9, 2001, Pages 1563-1579

Improved accuracy for locally one-dimensional methods for parabolic equations

Author keywords

Alternating direction method; Crank nicolson procedure; Fractional step method; Locally one dimensional (LOD) method; Splitting error

Indexed keywords


EID: 0347121979     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202501001471     Document Type: Article
Times cited : (112)

References (10)
  • 2
    • 0001742634 scopus 로고
    • A general formulation of alternating direction methods Part I. Parabolic and hyperbolic problems
    • J. Douglas, Jr. and J. Gunn, A general formulation of alternating direction methods Part I. Parabolic and hyperbolic problems, Numer. Math. 6 (1964) 428-453.
    • (1964) Numer. Math. , vol.6 , pp. 428-453
    • Douglas Jr., J.1    Gunn, J.2
  • 3
    • 84984083796 scopus 로고
    • Numerical solution of two-dimensional heat flow problems
    • J. Douglas, Jr. and D. Peaceman, Numerical solution of two-dimensional heat flow problems, Am. Inst. Chem. Engrg. J. 1 (1955) 505-512.
    • (1955) Am. Inst. Chem. Engrg. J. , vol.1 , pp. 505-512
    • Douglas Jr., J.1    Peaceman, D.2
  • 4
    • 84967782959 scopus 로고
    • On the numerical solution of heat conduction problems in two and three space variables
    • J. Douglas, Jr. and H. Rachford, On the numerical solution of heat conduction problems in two and three space variables, Trans. Am. Math. Soc. 82 (1960) 421-439.
    • (1960) Trans. Am. Math. Soc. , vol.82 , pp. 421-439
    • Douglas Jr., J.1    Rachford, H.2
  • 5
    • 0346231187 scopus 로고
    • Difference schemes with split operators for multidimensional unsteady problems (English translation)
    • E. D'yakonov, Difference schemes with split operators for multidimensional unsteady problems (English translation), USSR Comp. Math. 3 (1963) 581-607.
    • (1963) USSR Comp. Math. , vol.3 , pp. 581-607
    • D'Yakonov, E.1
  • 7
    • 0002058827 scopus 로고
    • The numerical solution of parabolic and elliptic equations
    • D. Peaceman and H. Rachford, The numerical solution of parabolic and elliptic equations, J. Soc. Indust. Appl. Math. 3 (1955) 28-41.
    • (1955) J. Soc. Indust. Appl. Math. , vol.3 , pp. 28-41
    • Peaceman, D.1    Rachford, H.2
  • 9
    • 50549201935 scopus 로고
    • Convergence of the method of splitting for the heat conduction equations with variable coefficients (English translation)
    • N. Yanenko, Convergence of the method of splitting for the heat conduction equations with variable coefficients (English translation), USSR Comp. Math. 3 (1963) 1094-1100.
    • (1963) USSR Comp. Math. , vol.3 , pp. 1094-1100
    • Yanenko, N.1
  • 10
    • 0003985596 scopus 로고
    • Springer-Verlag, 1971 English translation; originally published in Russian
    • _, The Method of Fractional Steps (Springer-Verlag, 1971) (English translation; originally published in Russian, 1967).
    • (1967) The Method of Fractional Steps


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.