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Volumn 16, Issue 11-12, 2009, Pages 995-1011

Well-conditioned matrices for numerical treatment of Fredholm integral equations of the second kind

Author keywords

Error estimate; Fredholm integral equation; Gaussian quadrature formula; Generalized Laguerre weight function; Jacobi weight function; Kernel; Lagrange interpolation; Nystr m interpolation; Orthogonal polynomials; Truncation

Indexed keywords


EID: 70449120330     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.655     Document Type: Article
Times cited : (8)

References (8)
  • 2
    • 0012707577 scopus 로고    scopus 로고
    • The Numerical Solution of Integral Equations of the Second Kind
    • Cambridge University Press: Cambridge
    • Atkinson KE. The Numerical Solution of Integral Equations of the Second Kind. Cambridge Monographs on Applied and Computational Mathematics. Cambridge University Press: Cambridge, 1997.
    • (1997) Cambridge Monographs on Applied and Computational Mathematics
    • Atkinson, K.E.1
  • 5
    • 34547944042 scopus 로고    scopus 로고
    • Projection methods and condition numbers in uniform norm for Fredholm and Cauchy singular integral equations
    • De Bonis MC, Mastroianni G. Projection methods and condition numbers in uniform norm for Fredholm and Cauchy singular integral equations. SIAM Journal on Numerical Analysis 2006; 44:1351-1374.
    • (2006) SIAM Journal on Numerical Analysis , vol.44 , pp. 1351-1374
    • de Bonis, M.C.1    Mastroianni, G.2
  • 6
    • 71049154481 scopus 로고    scopus 로고
    • Some numerical methods for second kind Fredholm integral equation on the real semiaxis
    • DOI: 10.1093/imanum/drn056
    • Mastroianni G, Milovanović GV. Some numerical methods for second kind Fredholm integral equation on the real semiaxis. IMA Journal on Numerical Analysis; DOI: 10.1093/imanum/drn056.
    • IMA Journal on Numerical Analysis
    • Mastroianni, G.1    Milovanović, G.V.2
  • 7
    • 33748459613 scopus 로고    scopus 로고
    • Numerical solution for the Fredholm integral equation of the second kind with Toeplitz kernels by using preconditioners
    • Maleknejad K, Rabbani M. Numerical solution for the Fredholm integral equation of the second kind with Toeplitz kernels by using preconditioners. Applied Mathematics and Computation 2006; 180:128-133.
    • (2006) Applied Mathematics and Computation , vol.180 , pp. 128-133
    • Maleknejad, K.1    Rabbani, M.2
  • 8
    • 9244248599 scopus 로고    scopus 로고
    • Truncated quadrature rule over (0<∞) and Nyström type methods
    • Mastroianni G, Monegato G. Truncated quadrature rule over (0<∞) and Nyström type methods. SIAM Journal on Numerical Analysis 2003; 41:247-258.
    • (2003) SIAM Journal on Numerical Analysis , vol.41 , pp. 247-258
    • Mastroianni, G.1    Monegato, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.