Grammont, Laurence; Kulkarni, Rekha P.; Vasconcelos, Paulo B. Fast and accurate solvers for weakly singular integral equations. (English) Zbl 1511.65147 Numer. Algorithms 92, No. 4, 2045-2070 (2023). MSC: 65R20 45L05 PDFBibTeX XMLCite \textit{L. Grammont} et al., Numer. Algorithms 92, No. 4, 2045--2070 (2023; Zbl 1511.65147) Full Text: DOI
Zhang, Chao; Yao, Guoqing; Chen, Sheng A robust hybrid spectral method for nonlocal problems with weakly singular kernels. (English) Zbl 1524.65693 Numer. Math., Theory Methods Appl. 15, No. 4, 1041-1062 (2022). MSC: 65M70 65N35 41A25 42B20 45D05 42C10 65R20 65M12 65M15 PDFBibTeX XMLCite \textit{C. Zhang} et al., Numer. Math., Theory Methods Appl. 15, No. 4, 1041--1062 (2022; Zbl 1524.65693) Full Text: DOI
Ahmadabadi, M. Nili; Laeli Dastjerdi, H. Tau approximation method for the weakly singular Volterra-Hammerstein integral equations. (English) Zbl 1410.65484 Appl. Math. Comput. 285, 241-247 (2016). MSC: 65R20 41A10 45G05 PDFBibTeX XMLCite \textit{M. N. Ahmadabadi} and \textit{H. Laeli Dastjerdi}, Appl. Math. Comput. 285, 241--247 (2016; Zbl 1410.65484) Full Text: DOI
Junghanns, Peter; Mastroianni, Giuseppe; Seidel, Markus On the stabiity of collocation methods for Cauchy singular integral equations in weighted \(\mathbf L^p\) spaces. (English) Zbl 1191.65182 Math. Nachr. 283, No. 1, 58-84 (2010). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{P. Junghanns} et al., Math. Nachr. 283, No. 1, 58--84 (2010; Zbl 1191.65182) Full Text: DOI
Didenko, Victor D.; Silbermann, Bernd Approximation of additive convolution-like operators. Real C*-algebra approach. (English) Zbl 1160.65002 Frontiers in Mathematics. Basel: Birkhäuser (ISBN 978-3-7643-8750-1/pbk). xii, 306 p. (2008). Reviewer: Roland Duduchava (Tbilisi) MSC: 65-02 65N38 31A10 31A30 35Q15 45A05 45B05 45Exx 45L05 74B10 74G15 47B35 47Gxx 47N40 65E05 65Jxx 65R20 74Kxx 74S15 76D05 76M15 PDFBibTeX XMLCite \textit{V. D. Didenko} and \textit{B. Silbermann}, Approximation of additive convolution-like operators. Real C*-algebra approach. Basel: Birkhäuser (2008; Zbl 1160.65002)
Deuflhard, Peter; Hohmann, Andreas Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. (English) Zbl 1025.65001 Texts in Applied Mathematics. 43. New York, NY: Springer. xviii, 337 p. (2003). Reviewer: Robert Plato (Berlin) MSC: 65-01 65Q05 65G50 65Dxx 65Hxx 62J05 65C30 65T50 65Fxx 65Y20 PDFBibTeX XMLCite \textit{P. Deuflhard} and \textit{A. Hohmann}, Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. New York, NY: Springer (2003; Zbl 1025.65001)
Hagen, Roland; Roch, Steffen; Silbermann, Bernd \(C^*\)-algebras and numerical analysis. (English) Zbl 0964.65055 Pure and Applied Mathematics, Marcel Dekker. 236. New York, NY: Marcel Dekker. 376 p. (2001). Reviewer: Teresa Regińska (Warszawa) MSC: 65J10 65-02 47A50 65R20 45E10 65J05 65J20 46L05 47B35 46N40 PDFBibTeX XMLCite \textit{R. Hagen} et al., \(C^*\)-algebras and numerical analysis. New York, NY: Marcel Dekker (2001; Zbl 0964.65055)
Hakk, Kristiina Numerical solution of weakly singular integral equations by piecewise polynomial approximation. (English) Zbl 0973.65128 Theory and practice of differential equations. Proceedings of the 3rd international conference “Differential equations and applications”, Saint-Petersburg, Russia, June 12-17, 2000. Sankt-Peterburg: Izdatel’stvo Sankt-Peterburgskogo Gosudarstvennogo Tekhnicheskogo Universiteta, Math. Res., St. Petersburg. 6, 88-97 (2000). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{K. Hakk}, in: Theory and practice of differential equations. Proceedings of the 3rd international conference ``Differential equations and applications'', Saint-Petersburg, Russia, June 12--17, 2000. Sankt-Peterburg: Izdatel'stvo Sankt-Peterburgskogo Gosudarstvennogo Tekhnicheskogo Universiteta. 88--97 (2000; Zbl 0973.65128)
Weber, Uwe Weighted polynomial approximation method for Cauchy singular integral equations in the non-periodic case. (English) Zbl 0961.41005 Berlin: Logos. Chemnitz: TU Chemnitz, Fakultät für Mathematik (Thesis 1999), 115 p. (2000). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 41A10 65R20 33C45 45E05 PDFBibTeX XMLCite \textit{U. Weber}, Weighted polynomial approximation method for Cauchy singular integral equations in the non-periodic case. Berlin: Logos; Chemnitz: TU Chemnitz, Fakultät für Mathematik (Thesis 1999) (2000; Zbl 0961.41005)
Kress, Rainer Numerical analysis. (English) Zbl 0913.65001 Graduate Texts in Mathematics. 181. New York, NY: Springer. xii, 326 p. (1998). Reviewer: Luigi Gatteschi (Torino) MSC: 65-01 65Fxx 65J10 65Hxx 65Dxx 65Lxx 65R20 PDFBibTeX XMLCite \textit{R. Kress}, Numerical analysis. New York, NY: Springer (1998; Zbl 0913.65001)
Junghanns, Peter; Luther, Uwe Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution. (English) Zbl 0870.65134 J. Comput. Appl. Math. 77, No. 1-2, 201-237 (1997). Reviewer: G.Schmidt (Berlin) MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{P. Junghanns} and \textit{U. Luther}, J. Comput. Appl. Math. 77, No. 1--2, 201--237 (1997; Zbl 0870.65134) Full Text: DOI
Golberg, Michael Improved convergence rates for some discrete Galerkin methods. (English) Zbl 0873.65119 J. Integral Equations Appl. 8, No. 3, 307-335 (1996). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{M. Golberg}, J. Integral Equations Appl. 8, No. 3, 307--335 (1996; Zbl 0873.65119) Full Text: DOI
Mikhlin, Solomon G.; Prössdorf, Siegfried Singular integral operators. Extended and partly modified translation from the German by Albrecht Böttcher and Reinhard Lehmann. (English) Zbl 0612.47024 Berlin etc.: Springer-Verlag. 528 p. DM 98.00 (Orig. Akademie-Verlag, Berlin) (1986). Reviewer: R.Duduchava MSC: 47B35 47-02 45E05 47Gxx 45P05 PDFBibTeX XML