메뉴 건너뛰기




Volumn 85, Issue 1, 1997, Pages 11-18

A note on the convergence of product integration and Galerkin method for weakly singular integral equations

Author keywords

Galerkin method; Graded mesh; Product integration; Weak singularities

Indexed keywords

ALGEBRA; CONVERGENCE OF NUMERICAL METHODS; INTEGRATION;

EID: 0031556614     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00108-8     Document Type: Article
Times cited : (7)

References (14)
  • 3
    • 84966251516 scopus 로고
    • Asymptotic expansions for product integration
    • F. de Hoog, R. Weiss, Asymptotic expansions for product integration, Math. Comp. 27 (1973) 295-306
    • (1973) Math. Comp. , vol.27 , pp. 295-306
    • De Hoog, F.1    Weiss, R.2
  • 4
    • 84966206564 scopus 로고
    • Galerkin methods for second kind integral equations with singularities
    • I.G. Graham, Galerkin methods for second kind integral equations with singularities, Math. Comp. 39 (1982) 519-533.
    • (1982) Math. Comp. , vol.39 , pp. 519-533
    • Graham, I.G.1
  • 5
    • 84918641480 scopus 로고
    • 2-projections on spline
    • RA. De Vore, K. Scherer (Eds.), Academic Press, New York
    • 2-projections on spline, in: RA. De Vore, K. Scherer (Eds.), Quantitative Approximation, Academic Press, New York (1980) pp. 153-158.
    • (1980) Quantitative Approximation , pp. 153-158
    • Güssman, B.1
  • 6
    • 0040819604 scopus 로고
    • Product integration for the linear transport equation in slab geometry
    • G. Monegato, V. Colombo, Product integration for the linear transport equation in slab geometry Numer. Math. 52 (1988) 219-240.
    • (1988) Numer. Math. , vol.52 , pp. 219-240
    • Monegato, G.1    Colombo, V.2
  • 7
    • 0012483064 scopus 로고
    • On the degree of convergence of nonlinear spline approximation
    • I.J. Schoenberg (Ed.), Academic Press, New York
    • J.R. Rice, On the degree of convergence of nonlinear spline approximation, in: I.J. Schoenberg (Ed.), Approximations with Special Emphasis on Splines Functions, Academic Press, New York, 1969, pp. 349-365.
    • (1969) Approximations with Special Emphasis on Splines Functions , pp. 349-365
    • Rice, J.R.1
  • 8
    • 0040670110 scopus 로고
    • Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind
    • C. Schneider, Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind, Integral Equations Operator Theory 2 (1979) 62-68.
    • (1979) Integral Equations Operator Theory , vol.2 , pp. 62-68
    • Schneider, C.1
  • 9
    • 84966223417 scopus 로고
    • Product integration for weakly singular integral equations
    • C. Schneider, Product integration for weakly singular integral equations, Math Comp. 36 (1981) 207-213.
    • (1981) Math Comp. , vol.36 , pp. 207-213
    • Schneider, C.1
  • 10
    • 84983961184 scopus 로고
    • On weakly singular integral equations of the second kind
    • C. Schneider, On weakly singular integral equations of the second kind, Z. Angew. Math. Mech. 12 (1988) 643-645.
    • (1988) Z. Angew. Math. Mech. , vol.12 , pp. 643-645
    • Schneider, C.1
  • 11
    • 0041389792 scopus 로고
    • Four variants of the Galerkin method for integral equations of the second kind
    • I.H. Sloan, Four variants of the Galerkin method for integral equations of the second kind, IMA J. Numer. Anal. 4 (1984) 9-17.
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 9-17
    • Sloan, I.H.1
  • 13
    • 0040297593 scopus 로고
    • The properties of solutions of weakly singular integral equations
    • G. Vainikko, A. Pedas, The properties of solutions of weakly singular integral equations, J. Austral. Math. Soc. 22 (1981) 419-430.
    • (1981) J. Austral. Math. Soc. , vol.22 , pp. 419-430
    • Vainikko, G.1    Pedas, A.2
  • 14
    • 0039113632 scopus 로고
    • A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel
    • G. Vainikko, P. Uba, A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel, J. Austral. Math. Soc. 22 (1981) 431-438.
    • (1981) J. Austral. Math. Soc. , vol.22 , pp. 431-438
    • Vainikko, G.1    Uba, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.