Plato, Robert The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind. (English) Zbl 1245.65187 Adv. Comput. Math. 36, No. 2, 331-351 (2012). Reviewer: Chuangan Hu (Palo Alto) MSC: 65R30 65R20 65R32 45D05 45E10 PDFBibTeX XMLCite \textit{R. Plato}, Adv. Comput. Math. 36, No. 2, 331--351 (2012; Zbl 1245.65187) Full Text: DOI
Plato, Robert Fractional multistep methods for weakly singular Volterra integral equations of the first kind with perturbed data. (English) Zbl 1079.65137 Numer. Funct. Anal. Optimization 26, No. 2, 249-269 (2005). Reviewer: Hermann Brunner (St. John’s) MSC: 65R20 65R30 65T50 45E10 45Q05 PDFBibTeX XMLCite \textit{R. Plato}, Numer. Funct. Anal. Optim. 26, No. 2, 249--269 (2005; Zbl 1079.65137) Full Text: DOI
Plato, R.; Vainikko, G. Fast solution of periodic integral equations by GMRES. (English) Zbl 1026.65127 Comput. Methods Appl. Math. 1, No. 4, 383-397 (2001). MSC: 65R20 35J05 65N38 65T40 45E10 35S15 31A30 45E05 65F10 65J10 47A50 PDFBibTeX XMLCite \textit{R. Plato} and \textit{G. Vainikko}, Comput. Methods Appl. Math. 1, No. 4, 383--397 (2001; Zbl 1026.65127) Full Text: EuDML EMIS
Plato, R. The solution of linear semidefinite ill-posed problems by the conjugate residual method. (English) Zbl 0961.65049 Ramm, A. G. (ed.) et al., Operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 7-11, 1998. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 25, 423-431 (2000). MSC: 65J10 65J20 65R30 45E10 65R20 PDFBibTeX XMLCite \textit{R. Plato}, in: Operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 7--11, 1998. Providence, RI: American Mathematical Society (AMS). 423--431 (2000; Zbl 0961.65049)
Plato, Robert The conjugate gradient method for linear ill-posed problems with operator perturbations. (English) Zbl 0935.65059 Numer. Algorithms 20, No. 1, 1-22 (1999). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65J10 45E10 65R20 65R30 65J20 47A50 47A52 PDFBibTeX XMLCite \textit{R. Plato}, Numer. Algorithms 20, No. 1, 1--22 (1999; Zbl 0935.65059) Full Text: DOI
Plato, Robert The Lavrentiev-regularized Galerkin method for linear accretive ill-posed problems. (English) Zbl 0935.65058 Matimyas Mat. 21, Spec. Iss., 57-66 (1998). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65J10 65J20 45E10 65R20 47A50 47A52 65R30 PDFBibTeX XMLCite \textit{R. Plato}, Matimyás Mat. 21, 57--66 (1998; Zbl 0935.65058)
Plato, R. The method of conjugate residuals for solving the Galerkin equations associated with symmetric positive semidefinite ill-posed problems. (English) Zbl 0916.65057 SIAM J. Numer. Anal. 35, No. 4, 1621-1645 (1998). Reviewer: R.Lepp (Tallinn) MSC: 65J10 65J20 45E10 65R20 47A50 65R30 PDFBibTeX XMLCite \textit{R. Plato}, SIAM J. Numer. Anal. 35, No. 4, 1621--1645 (1998; Zbl 0916.65057) Full Text: DOI
Plato, R. Resolvent estimates for Abel integral operators and the regularization of associated first kind integral equations. (English) Zbl 0904.65136 J. Integral Equations Appl. 9, No. 3, 253-278 (1997). Reviewer: R.Gorenflo (Berlin) MSC: 65R20 65R30 45E10 PDFBibTeX XMLCite \textit{R. Plato}, J. Integral Equations Appl. 9, No. 3, 253--278 (1997; Zbl 0904.65136) Full Text: DOI Link
Plato, R. On the regularization of Abel’s integral equation. (English) Zbl 0900.65390 Z. Angew. Math. Mech. 76, Suppl. 2, 643-644 (1996). MSC: 65R20 45E10 65R30 PDFBibTeX XMLCite \textit{R. Plato}, Z. Angew. Math. Mech. 76, 643--644 (1996; Zbl 0900.65390)