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Volumn 21, Issue 2, 1999, Pages 508-521

Analysis of iterative line spline collocation methods for elliptic partial differential equations

Author keywords

Collocation methods; Elliptic partial differential equations; SOR iterative method

Indexed keywords


EID: 0033632291     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0895479896309827     Document Type: Article
Times cited : (12)

References (13)
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    • De Pillis, J.1    Neumann, M.2
  • 2
    • 0020504270 scopus 로고
    • The optimal solution of the extrapolation problem of a first order scheme
    • A. HADJIDIMOS, The optimal solution of the extrapolation problem of a first order scheme, Internat. J. Comput. Math., 13 (1983), pp. 153-168.
    • (1983) Internat. J. Comput. Math. , vol.13 , pp. 153-168
    • Hadjidimos, A.1
  • 3
    • 84923726924 scopus 로고
    • On the extrapolation technique for the solution of linear systems
    • A. HADJIDIMOS, On the extrapolation technique for the solution of linear systems, Calcolo, 23 (1986), pp. 35-43.
    • (1986) Calcolo , vol.23 , pp. 35-43
    • Hadjidimos, A.1
  • 4
    • 0023452425 scopus 로고
    • A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques
    • A. HADJIDIMOS, A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques, J. Comput. Appl. Math., 20 (1987), pp. 213-230.
    • (1987) J. Comput. Appl. Math. , vol.20 , pp. 213-230
    • Hadjidimos, A.1
  • 5
    • 0001618094 scopus 로고
    • Iterative line cubic spline collocation methods for elliptic partial differential equations in several dimensions
    • A. HADJIDIMOS, E. HOUSTIS, J. RICE, AND E. VAVALIS, Iterative line cubic spline collocation methods for elliptic partial differential equations in several dimensions, SIAM J. Sci. Comput., 14 (1993), pp. 715-734.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 715-734
    • Hadjidimos, A.1    Houstis, E.2    Rice, J.3    Vavalis, E.4
  • 7
    • 0001973961 scopus 로고
    • Spline collocation methods for elliptic partial differential equations
    • R. Vichnevetsky and R. Stepleman, eds. IMACS, New Brunswick, NJ
    • E. HOUSTIS, J. RICE, AND E. VAVALIS, Spline collocation methods for elliptic partial differential equations, in Advances in Computer Methods for Partial Differential Equations, R. Vichnevetsky and R. Stepleman, eds., vol. V, IMACS, New Brunswick, NJ, 1984, pp. 191-194.
    • (1984) Advances in Computer Methods for Partial Differential Equations , vol.5 , pp. 191-194
    • Houstis, E.1    Rice, J.2    Vavalis, E.3
  • 8
    • 0000661169 scopus 로고
    • Parallelization of a new class of cubic spline collocation methods
    • R. Vichnevetsky and R. Stepleman, eds. IMACS, New Brunswick, NJ
    • E. HOUSTIS, J. RICE, AND E. VAVALIS, Parallelization of a new class of cubic spline collocation methods, in Advances in Computer Methods for Partial Differential Equations, R. Vichnevetsky and R. Stepleman, eds., vol. VI, IMACS, New Brunswick, NJ, 1987, pp. 167-174.
    • (1987) Advances in Computer Methods for Partial Differential Equations , vol.6 , pp. 167-174
    • Houstis, E.1    Rice, J.2    Vavalis, E.3
  • 9
    • 0000725539 scopus 로고
    • 4) cubic spline collocation methods for elliptic partial differential equations
    • 4) cubic spline collocation methods for elliptic partial differential equations, SIAM J. Numer. Anal., 25 (1988), pp. 54-74.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 54-74
    • Houstis, E.1    Vavalis, E.2    Rice, J.3
  • 10
    • 0001579105 scopus 로고
    • On complex successive overrelaxation
    • B. KREDELL, On complex successive overrelaxation, BIT, 2 (1962), pp. 143-152.
    • (1962) BIT , vol.2 , pp. 143-152
    • Kredell, B.1
  • 11
    • 84972492483 scopus 로고
    • Direct solution of partial differential equations for a rectangle
    • H. SHINTANI, Direct solution of partial differential equations for a rectangle, J. Sci. Hiroshima Univ. Ser. A-I, 32 (1968), pp. 17-53.
    • (1968) J. Sci. Hiroshima Univ. Ser. A-I , vol.32 , pp. 17-53
    • Shintani, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.