Koshev, N.; Beilina, L. A posteriori error estimates for Fredholm integral equations of the first kind. (English) Zbl 1278.65198 Beilina, Larisa (ed.), Applied inverse problems. Select contributions from the first annual workshop on inverse problems, Gothenburg, Sweden, June 2–3, 2011. New York, NY: Springer (ISBN 978-1-4614-7815-7/hbk; 978-1-4614-7816-4/ebook). Springer Proceedings in Mathematics & Statistics 48, 75-93 (2013). MSC: 65R20 45A05 45B05 65R30 PDFBibTeX XMLCite \textit{N. Koshev} and \textit{L. Beilina}, Springer Proc. Math. Stat. 48, 75--93 (2013; Zbl 1278.65198) Full Text: DOI
Zhang, Rui; Ma, Yi-Chen; Duan, Xian-Bao An improved iterative regularization based on varying the singular values of the regularization operator. (English) Zbl 1188.65075 Jorgensen, Palle (ed.) et al., Recent advances in computational sciences. Selected papers from the international workshop on computational sciences and its education, Beijing, China, 29–31 August, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-700-0/hbk). 333-345 (2008). MSC: 65J10 65J20 47A52 45B05 65R30 PDFBibTeX XMLCite \textit{R. Zhang} et al., in: Recent advances in computational sciences. Selected papers from the international workshop on computational sciences and its education, Beijing, China, 29--31 August, 2005. Hackensack, NJ: World Scientific. 333--345 (2008; Zbl 1188.65075)
Engl, Heinz W. Regularization methods for solving inverse problems. (English) Zbl 0992.65058 Ball, J. M. (ed.) et al., ICIAM 99. Proceedings of the 4th international congress on industrial & applied mathematics, Edinburgh, GB, July 5-9, 1999. Oxford: Oxford University Press. 47-62 (2000). MSC: 65J22 65J10 65J15 65J20 47A52 47J06 PDFBibTeX XMLCite \textit{H. W. Engl}, in: ICIAM 99. Proceedings of the 4th international congress on industrial \& applied mathematics, Edinburgh, GB, July 5--9, 1999. Oxford: Oxford University Press. 47--62 (2000; Zbl 0992.65058)
Colton, David; Kirsch, Andreas; Monk, Peter The linear sampling method in inverse scattering theory. (English) Zbl 0968.35132 Colton, David (ed.) et al., Surveys on solution methods for inverse problems. Wien: Springer. 107-118 (2000). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35R30 35J25 92C55 78A46 PDFBibTeX XMLCite \textit{D. Colton} et al., in: Surveys on solution methods for inverse problems. Wien: Springer. 107--118 (2000; Zbl 0968.35132)
Maaß, Peter; Rieder, Andreas Wavelet-accelerated Tikhonov-Phillips regularization with applications. (English) Zbl 0880.65028 Engl, Heinz W. (ed.) et al., Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Wien: Springer. 134-158 (1997). MSC: 65J10 65R10 44A12 92C55 65J20 47A50 PDFBibTeX XMLCite \textit{P. Maaß} and \textit{A. Rieder}, in: Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4--10, 1996. Wien: Springer. 134--158 (1997; Zbl 0880.65028)
Gorenflo, Rudolf; Yamamoto, Masahiro On regularized inversion of Abel integral operators. (English) Zbl 0852.65132 Nguyen Huu Anh (ed.) et al., Analysis and mechanics of continuous media. Proceedings of an international conference, HoChiMinh City, December 27-29, 1995 in honor of D. D. Ang. HoChiMinh City: Vietnamese Mathematical Society, Publ. HoChiMinh City Math. Soc. 3, 162-182 (1995). Reviewer: J.Appell (Würzburg) MSC: 65R20 65R30 45E10 PDFBibTeX XMLCite \textit{R. Gorenflo} and \textit{M. Yamamoto}, Publ. HoChiMinh City Math. Soc. 3, 162--182 (1995; Zbl 0852.65132)
Falaleev, M. V. Asymptotic expansions of continuous solutions of system of Volterra integral equations of the first kind. (English) Zbl 0842.45002 Lavrent’ev, M. M. (ed.), Computerized tomography. Proceedings of the 4th international symposium, Novosibirsk, Russia, August 10-14, 1993. Utrecht: VSP. 155-157 (1995). MSC: 45F05 45M05 PDFBibTeX XMLCite \textit{M. V. Falaleev}, in: Computerized tomography. Proceedings of the 4th international symposium, Novosibirsk, Russia, August 10-14, 1993. Utrecht: VSP. 155--157 (1995; Zbl 0842.45002)
Dobner, Hans-Jürgen Verified solution of integral equations with applications. (English) Zbl 0793.65101 Adams, E. (ed.) et al., Scientific computing with automatic result verification. Boston: Academic Press, Inc.. Math. Sci. Eng. 189, 225-253 (1993). Reviewer: G.Mayer (Rostock) MSC: 65R20 65G30 45B05 45D05 45G05 45E10 PDFBibTeX XMLCite \textit{H.-J. Dobner}, Math. Sci. Eng. 189, 225--253 (1993; Zbl 0793.65101)
Janno, Jaan On an inverse problem for determining the creep function with a given boundary data close to a singular function. (English) Zbl 0735.73058 Estimation and control of distributed parameter systems, Proc. Int. Conf., Vorau/Austria 1990, ISNM 100, 187-195 (1991). MSC: 74M05 74H45 65R30 74K05 74J25 45D05 45L05 74D05 74D10 PDFBibTeX XMLCite \textit{J. Janno}, in: Exponentially stable approximations of weakly damped wave equations. . 187--195 (1991; Zbl 0735.73058)
Laneev, E. B. On solution of multidimensional linear ill-posed problems by the Fourier method. (Russian) Zbl 0728.65049 Modelling of systems and computer science, Collect. Sci. Works, Moskva, 74-80 (1989). MSC: 65J10 65J20 65R20 45E10 PDFBibTeX XML
Kirsch, Andreas; Kress, Rainer On an integral equation of the first kind in inverse acoustic scattering. (English) Zbl 0607.65089 Inverse problems, Proc. Conf., Oberwolfach/Ger. 1986, ISNM 77, 93-102 (1986). Reviewer: N.D.Sengupta MSC: 65R20 35J05 45E10 76Q05 78A45 PDFBibTeX XML
Rubin, B. S. A multidimensional integral equation of the first kind with a weak singularity on a ball. (Russian) Zbl 0623.45013 Scientific works of the Jubilee seminar on boundary value questions, Collect. Artic., Minsk 1985, 181-185 (1985). Reviewer: J.Appell MSC: 45F15 PDFBibTeX XML
Näther, Wolfgang On the convergence of iterative procedures in experimental design with correlated errors. (English) Zbl 0597.62083 Freiberger Forschungsh., Reihe D 170, 9-20 (1985). Reviewer: O.Krafft MSC: 62K05 62J05 62M20 PDFBibTeX XMLCite \textit{W. Näther}, Freiberger Forschungsh., Reihe D 170, 9--20 (1985; Zbl 0597.62083)
Marti, J. T. On a regularization method for Fredholm equations of the first kind using Sobolev spaces. (English) Zbl 0508.65058 Treatment of integral equations by numerical methods, Proc. Symp., Durham 1982, 59-66 (1982). MSC: 65R20 65J10 47A50 45B05 PDFBibTeX XML
Zaikin, P. N.; Mechenov, A. S. Einige Fragen der numerischen Realisierung eines regularisierenden Algorithmus für lineare Integralgleichungen erster Art. (Russian) Zbl 0306.65082 Vychisl. Metody Program. 21, 155-163 (1973). Reviewer: V. Suchanková-Maršiková MSC: 65R20 65J05 PDFBibTeX XML