Elliott, D.; Lifanov, I. K.; Litvinchuk, G. S. The solution in a class of singular functions of Cauchy type bisingular integral equations. (English) Zbl 0898.45003 J. Integral Equations Appl. 9, No. 3, 237-251 (1997). Reviewer: E.Minchev (Sofia) MSC: 45E05 76B10 PDFBibTeX XMLCite \textit{D. Elliott} et al., J. Integral Equations Appl. 9, No. 3, 237--251 (1997; Zbl 0898.45003) Full Text: DOI Link
Okada, Susumu; Elliott, David Hölder continuous functions and the finite Hilbert transform. (English) Zbl 0822.47014 Math. Nachr. 169, 219-233 (1994). Reviewer: R.Cross (Rondebosch) MSC: 47A53 46E15 44A15 47A15 47B38 PDFBibTeX XMLCite \textit{S. Okada} and \textit{D. Elliott}, Math. Nachr. 169, 219--233 (1994; Zbl 0822.47014) Full Text: DOI
Elliott, David Projection methods for singular integral equations. (English) Zbl 0705.65103 J. Integral Equations Appl. 2, No. 1, 95-106 (1990). Reviewer: J.Kofroň MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, J. Integral Equations Appl. 2, No. 1, 95--106 (1990; Zbl 0705.65103) Full Text: DOI
Elliott, David A comprehensive approach to the approximate solution of singular integral equations over the arc (-1,1). (English) Zbl 0704.65101 J. Integral Equations Appl. 2, No. 1, 59-94 (1990). Reviewer: J.Kofroň MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, J. Integral Equations Appl. 2, No. 1, 59--94 (1990; Zbl 0704.65101) Full Text: DOI
Elliott, D. Convergence theorems for singular integral equations. (English) Zbl 0735.65091 Numerical solution of integral equations, Math. Concepts Methods Sci. Eng. 42, 309-361 (1990). Reviewer: J.Albrycht MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, in: A survey of boundary integral equation methods for the numerical solution of Laplace's equation in three dimensions. . 309--361 (1990; Zbl 0735.65091)
Elliott, David Rates of convergence for the method of classical collocation for solving singular integral equations. (English) Zbl 0549.65092 SIAM J. Numer. Anal. 21, 136-148 (1984). Reviewer: M.Schleiff MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, SIAM J. Numer. Anal. 21, 136--148 (1984; Zbl 0549.65092) Full Text: DOI
Elliott, David A Galerkin-Petrov method for singular integral equations. (English) Zbl 0517.65094 J. Aust. Math. Soc., Ser. B 25, 261-275 (1983). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, J. Aust. Math. Soc., Ser. B 25, 261--275 (1983; Zbl 0517.65094) Full Text: DOI
Elliott, David The numerical treatment of singular integral equations - a review. (English) Zbl 0522.65088 Treatment of integral equations by numerical methods, Proc. Symp., Durham 1982, 297-312 (1982). MSC: 65R20 45E05 PDFBibTeX XML
Elliott, David Orthogonal polynomials associated with singular integral equations having a Cauchy kernel. (English) Zbl 0508.45002 SIAM J. Math. Anal. 13, 1041-1052 (1982). MSC: 45E05 33C45 PDFBibTeX XMLCite \textit{D. Elliott}, SIAM J. Math. Anal. 13, 1041--1052 (1982; Zbl 0508.45002) Full Text: DOI
Elliott, David The classical collocation method for singular integral equations. (English) Zbl 0482.65069 SIAM J. Numer. Anal. 19, 816-832 (1982). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, SIAM J. Numer. Anal. 19, 816--832 (1982; Zbl 0482.65069) Full Text: DOI
Elliott, David Some aspects of singular integral equations - a numerical analyst’s viewpoint. (English) Zbl 0479.65065 Contemp. Math. 9, 41-54 (1982). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, Contemp. Math. 9, 41--54 (1982; Zbl 0479.65065) Full Text: DOI
Elliott, David A convergence theorem for singular integral equations. (English) Zbl 0469.65091 J. Aust. Math. Soc., Ser. B 22, 539-552 (1981). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, J. Aust. Math. Soc., Ser. B 22, 539--552 (1981; Zbl 0469.65091) Full Text: DOI
Elliott, D. The approximate solution of singular integral equations. (English) Zbl 0446.65062 Solution methods for integral equations, theory and applications, Math. Concepts Meth. Sci. Eng., Vol. 18, 83-107 (1979). MSC: 65R20 45E05 PDFBibTeX XML
Elliott, David On the convergence of Hunter’s quadrature rule for Cauchy principal value integrals. (English) Zbl 0418.65011 BIT, Nord. Tidskr. Inf.-behandl. 19, 457-462 (1979). MSC: 65D32 30E20 41A55 PDFBibTeX XMLCite \textit{D. Elliott}, BIT, Nord. Tidskr. Inf.-behandl. 19, 457--462 (1979; Zbl 0418.65011) Full Text: DOI
Dow, M. L.; Elliott, David The numerical solution of singular integral equations over \((-1,1)\). (English) Zbl 0399.65094 SIAM J. Numer. Anal. 16, 115-134 (1979). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{M. L. Dow} and \textit{D. Elliott}, SIAM J. Numer. Anal. 16, 115--134 (1979; Zbl 0399.65094) Full Text: DOI