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Volumn 12, Issue 1, 2000, Pages 63-83

An explicit boundary integral representation of the solution of the two-dimensional heat equation and its discretization

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EID: 0004603920     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1020282134     Document Type: Article
Times cited : (7)

References (12)
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    • Pont-a-Mousson, June, (C. Bandle, et al., eds.), Pitman Res. Notes Math. Ser. 325 (1995)
    • D.Z. Arov, I.P. Gavrilyuk and V.L. Makarov, Representation and approximation of solution of initial value problems for differential equations in Hilbert space based on the Cayley transform, in Elliptic and parabolic problems Proc. of2nd European Conf., Pont-a-Mousson, June 1994. (C. Bandle, et al., eds.), Pitman Res. Notes Math. Ser. 325 (1995), 40-50.
    • (1994) Proc. of2nd European Conf. , pp. 40-50
    • Arov, D.Z.1    Gavrilyuk, I.P.2    Makarov, V.L.3
  • 3
    • 0002642482 scopus 로고    scopus 로고
    • Rothe's method for the heat equation and boundary integral equations,
    • R. Chapko and R. Kress, Rothe's method for the heat equation and boundary integral equations, J. Integral Equations Appl. 9 (1997), 47-69.
    • (1997) J. Integral Equations Appl. , vol.9 , pp. 47-69
    • Chapko, R.1    Kress, R.2
  • 4
    • 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,
    • I.P. Gavrilyuk and V.L. Makarov, Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach space, Z. Anal. Anwendungen 15 (1996), 495-527.
    • (1996) Z. Anal. Anwendungen , vol.15 , pp. 495-527
    • Gavrilyuk, I.P.1    Makarov, V.L.2
  • 5
    • 84875323445 scopus 로고    scopus 로고
    • http://www.physik.fu-berlin.de/edvdocu/documentation/reduce-3.6p5/reduce/node181.html
  • 8
    • 3643096756 scopus 로고
    • Time discretizations of parabolic boundary integral equations,
    • C. Lubich and R. Schneider, Time discretizations of parabolic boundary integral equations, Numer. Math. 63 (1992), 455-481.
    • (1992) Numer. Math. , vol.63 , pp. 455-481
    • Lubich, C.1    Schneider, R.2
  • 10
    • 84875318269 scopus 로고
    • On the construction of partial solutions of resonance equations,
    • in Russian
    • V.L. Makarov and T. Arazmyradov, On the construction of partial solutions of resonance equations, Differentsial'nye Uravneniya 14 (1978), 1255-1261 (in Russian).
    • (1978) Differentsial'nye Uravneniya , vol.14 , pp. 1255-1261
    • Makarov, V.L.1    Arazmyradov, T.2
  • 11
    • 0012836965 scopus 로고
    • On constructing distribution function; with applications to Lommel polynomials and Bessel functions
    • D. Maki, On constructing distribution function; with applications to Lommel polynomials and Bessel functions, Trans. Amer. Math. Soc. 130 (1968), 81-297.
    • (1968) Trans. Amer. Math. Soc. , vol.130 , pp. 81-297
    • Maki, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.