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Volumn 20, Issue 7, 1999, Pages 695-715

Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0032594382     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569908816919     Document Type: Article
Times cited : (12)

References (21)
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    • (1993) Numer. Funct. Anal. and Optimiz. , vol.14 , Issue.5-6 , pp. 456-473
    • Arov, D.Z.1    Gavrilyuk, I.P.2
  • 2
    • 33750165194 scopus 로고
    • Representation and approximation of solution of an inital value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space based on the Cayley transform
    • "Progress in partial differential equations, Pont-a-Mousson 1994", (C. Bandle, J. Bemelmans, M. Chipot, J. Saint Jean Paulin and I. Shafrir, eds.), Longman
    • Arov, D.Z., Gavrilyuk, I.P. and Makarov, V.L.: Representation and approximation of solution of an inital value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space based on the Cayley transform. In "Progress in partial differential equations, Pont-a-Mousson 1994", vol 1 (C. Bandle, J. Bemelmans, M. Chipot, J. Saint Jean Paulin and I. Shafrir, eds.), Pitman Research Notes in Mathematics Series, Longman, 1995.
    • (1995) Pitman Research Notes in Mathematics Series , vol.1
    • Arov, D.Z.1    Gavrilyuk, I.P.2    Makarov, V.L.3
  • 4
    • 0002659384 scopus 로고
    • Some spectral approximations of one-dimensional fourth-order problems
    • (P. Nevai and A. Pinkus, eds.), Boston: Academic Press
    • Bernardi, C. and Maday, Y.: Some spectral approximations of one-dimensional fourth-order problems. (P. Nevai and A. Pinkus, eds.), Progress in approximation theory, pp. 44-116. Boston: Academic Press 1991.
    • (1991) Progress in Approximation Theory , pp. 44-116
    • Bernardi, C.1    Maday, Y.2
  • 7
    • 0342673612 scopus 로고
    • A factorization procedure for the solution of elliptic difference equations
    • Dupont, T.: A factorization procedure for the solution of elliptic difference equations. SIAM Journal of Numerical Analysis, 5 (1968) 4.
    • (1968) SIAM Journal of Numerical Analysis , vol.5 , pp. 4
    • Dupont, T.1
  • 8
    • 0042113929 scopus 로고
    • The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space
    • Gavrilyuk, I.P. and Makarov, V.L.: The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space. Numer. Funct. Anal. and Optimiz., 15 (1994) 5&6, 583-598.
    • (1994) Numer. Funct. Anal. and Optimiz. , vol.15 , Issue.5-6 , pp. 583-598
    • Gavrilyuk, I.P.1    Makarov, V.L.2
  • 9
    • 21344446470 scopus 로고    scopus 로고
    • Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach space
    • Gavrilyuk, I.P. and Makarov, V.L.: Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach space. Journal of Analysis and its Applications (ZAA), 15 (1996) 2, 495-527.
    • (1996) Journal of Analysis and Its Applications (ZAA) , vol.15 , Issue.2 , pp. 495-527
    • Gavrilyuk, I.P.1    Makarov, V.L.2
  • 14
    • 84963022804 scopus 로고
    • Interpolation of boundary value problems of Neumann type on smooth domains
    • Löfström, J.: Interpolation of boundary value problems of Neumann type on smooth domains. J. London Math. Soc., 46 (1992) 2: 499-516.
    • (1992) J. London Math. Soc. , vol.46 , Issue.2 , pp. 499-516
    • Löfström, J.1
  • 15
    • 70350504025 scopus 로고
    • Splitting and alternating directions methods
    • Amsterdam-New York-Oxford-Tokyo: North Holland
    • Marchuk, G.I.: Splitting and Alternating Directions Methods. In Handbook of Numerical Analysis I. Amsterdam-New York-Oxford-Tokyo: North Holland 1990.
    • (1990) Handbook of Numerical Analysis I , vol.1
    • Marchuk, G.I.1
  • 16
    • 84960600688 scopus 로고
    • Orthogonale polynomsysteme mit einer besonderen Gestalt der erzeugenden funktion
    • Meixner, J.: Orthogonale Polynomsysteme mit einer besonderen Gestalt der erzeugenden Funktion. J. London Math. Soc., 9 (1934), 6-13.
    • (1934) J. London Math. Soc. , vol.9 , pp. 6-13
    • Meixner, J.1
  • 18
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    • The numerical solution of parabolic and elliptic differential equations
    • Peaceman, D.W. and Rachford, H.H.: The numerical solution of parabolic and elliptic differential equations. SIAM Journal of Numerical Analysis, 3 (1955) 1.
    • (1955) SIAM Journal of Numerical Analysis , vol.3 , pp. 1
    • Peaceman, D.W.1    Rachford, H.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.