Richter, Mathias Inverse Problems. Basics, theory and applied examples. (Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele.) (German) Zbl 1331.65083 Mathematik im Fokus. Heidelberg: Springer Spektrum (ISBN 978-3-662-45810-5/pbk; 978-3-662-45811-2/ebook). ix, 128 p. (2015). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 65L08 65L09 65Z05 00A69 00A06 65R32 65R30 65R10 44A12 45B05 45D05 65T50 65J20 47A52 47J06 94A12 92C55 65M32 65N21 PDF BibTeX XML Cite \textit{M. Richter}, Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele. Heidelberg: Springer Spektrum (2015; Zbl 1331.65083) Full Text: DOI
Voronin, A. F. Reconstruction of a convolution operator from the right-hand side on the real half-axis. (Russian, English) Zbl 1340.45004 Sib. Zh. Ind. Mat. 17, No. 2, 32-40 (2014); translation in J. Appl. Ind. Math. 8, No. 3, 428-435 (2014). MSC: 45E10 45A05 45D05 PDF BibTeX XML Cite \textit{A. F. Voronin}, Sib. Zh. Ind. Mat. 17, No. 2, 32--40 (2014; Zbl 1340.45004); translation in J. Appl. Ind. Math. 8, No. 3, 428--435 (2014) Full Text: DOI
Bhattacharya, Subhra; Mandal, B. N. Use of Bernstein polynomials in numerical solutions of Volterra integral equations. (English) Zbl 1157.65513 Appl. Math. Sci., Ruse 2, No. 33-36, 1773-1787 (2008). MSC: 65R20 45D05 45E10 PDF BibTeX XML Cite \textit{S. Bhattacharya} and \textit{B. N. Mandal}, Appl. Math. Sci., Ruse 2, No. 33--36, 1773--1787 (2008; Zbl 1157.65513) Full Text: Link
Ageev, A. L.; Antonova, T. V. Localization algorithms for singularities of solutions to convolution equations of the first kind. (English) Zbl 1158.65087 J. Inverse Ill-Posed Probl. 16, No. 7, 639-650 (2008). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{A. L. Ageev} and \textit{T. V. Antonova}, J. Inverse Ill-Posed Probl. 16, No. 7, 639--650 (2008; Zbl 1158.65087) Full Text: DOI
Jiang, Wei; Cui, Minggen The exact solution and stability analysis for integral equation of third or first kind with singular kernel. (English) Zbl 1149.45003 Appl. Math. Comput. 202, No. 2, 666-674 (2008). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 45E10 46E22 45M10 PDF BibTeX XML Cite \textit{W. Jiang} and \textit{M. Cui}, Appl. Math. Comput. 202, No. 2, 666--674 (2008; Zbl 1149.45003) Full Text: DOI
Bayev, A. V.; Yagola, A. G. Optimal recovery in problems of solving linear integral equations with a priori information. (English) Zbl 1128.65015 J. Inverse Ill-Posed Probl. 15, No. 6, 569-586 (2007). MSC: 65D15 45B05 45E10 65R32 45Q05 PDF BibTeX XML Cite \textit{A. V. Bayev} and \textit{A. G. Yagola}, J. Inverse Ill-Posed Probl. 15, No. 6, 569--586 (2007; Zbl 1128.65015) Full Text: DOI
Ermolaeva, L. B. On the proof of the quadrature method for solution of integral equation. (English. Russian original) Zbl 1173.65372 Russ. Math. 50, No. 4, 18-27 (2006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2006, No. 4, 20-29 (2006). MSC: 65R20 45E10 45B05 45A05 PDF BibTeX XML Cite \textit{L. B. Ermolaeva}, Russ. Math. 50, No. 4, 18--27 (2006; Zbl 1173.65372); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2006, No. 4, 20--29 (2006)
Voronin, V. V. Condition number of collocation method on a quasiuniform grid for the integral equation of the 1st kind with logarithmic singularity. (English) Zbl 1005.65140 Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 10, 61-66 (2001). Reviewer: N.I.Alexandrova (Novosibirsk) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{V. V. Voronin}, Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 10, 61--66 (2001; Zbl 1005.65140)
Chan, Raymond H.; Ng, Wingfai; Sun, Haiwei Fast construction of optimal circulant preconditioners for matrices from the fast dense matrix method. (English) Zbl 0955.65095 BIT 40, No. 1, 024-040 (2000). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 65R20 45B05 65N38 65F35 35J05 65F10 45E10 PDF BibTeX XML Cite \textit{R. H. Chan} et al., BIT 40, No. 1, 024--040 (2000; Zbl 0955.65095) Full Text: DOI
Fahmy, M. H.; Abdou, M. A.; Darwish, M. A. Integral equations and potential-theoretic type integrals of orthogonal polynomials. (English) Zbl 0929.45004 J. Comput. Appl. Math. 106, No. 2, 245-254 (1999). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 45E10 74B05 74C15 33C05 74M15 PDF BibTeX XML Cite \textit{M. H. Fahmy} et al., J. Comput. Appl. Math. 106, No. 2, 245--254 (1999; Zbl 0929.45004) Full Text: DOI
Chan, Raymond H.; Sun, Hai-Wen; Ng, Wing-Fai Circulant preconditioners for ill-conditioned boundary integral equations from potential equations. (English) Zbl 0932.65122 Int. J. Numer. Methods Eng. 43, No. 8, 1505-1521 (1998). Reviewer: G.Schmidt (Berlin) MSC: 65N38 31A10 31A30 45E10 35J05 35J40 65F10 65F35 65R20 PDF BibTeX XML Cite \textit{R. H. Chan} et al., Int. J. Numer. Methods Eng. 43, No. 8, 1505--1521 (1998; Zbl 0932.65122) Full Text: DOI
Al-Shuaibi, Abdulaziz On the inversion of the Laplace transform by the use of a regularized displacement operator. (English) Zbl 0887.65132 Inverse Probl. 13, No. 5, 1153-1160 (1997). Reviewer: R.Plato (Berlin) MSC: 65R10 65R30 44A10 PDF BibTeX XML Cite \textit{A. Al-Shuaibi}, Inverse Probl. 13, No. 5, 1153--1160 (1997; Zbl 0887.65132) Full Text: DOI
Voronin, V. V. On the condition number of the interpolation and collocation method for Symm’s equation for some quasiuniform grids. (English) Zbl 0940.65149 Bull. Novosib. Comput. Cent., Ser. Math. Model. Geophys. 2, 85-110 (1996). MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{V. V. Voronin}, Bull. Novosib. Comput. Cent., Ser. Math. Model. Geophys. 2, 85--110 (1996; Zbl 0940.65149)
Temizer, O. Faruk; Balci, Mustafa On the first type linear Volterra integral equations with convolution kernel. (English) Zbl 0915.45001 J. Inst. Math. Comput. Sci., Math. Ser. 9, No. 1, 101-103 (1996). MSC: 45D05 PDF BibTeX XML Cite \textit{O. F. Temizer} and \textit{M. Balci}, J. Inst. Math. Comput. Sci., Math. Ser. 9, No. 1, 101--103 (1996; Zbl 0915.45001)
De Mol, C. How to beat the Rayleigh limit? (English) Zbl 0886.65140 Z. Angew. Math. Mech. 76, Suppl. 2, 185-188 (1996). MSC: 65R20 85A05 65R30 45E10 PDF BibTeX XML Cite \textit{C. De Mol}, Z. Angew. Math. Mech. 76, 185--188 (1996; Zbl 0886.65140) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. Gorenflo} and \textit{M. Yamamoto}, in: 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. 162--182 (1995; Zbl 0852.65132)
Elschner, J.; Graham, I. G. An optimal order collocation method for first kind boundary integral equations on polygons. (English) Zbl 0827.65117 Numer. Math. 70, No. 1, 1-31 (1995). Reviewer: T.Burczyński (Gliwice) MSC: 65N38 65N12 65R20 35J05 31A30 45E10 31A10 PDF BibTeX XML Cite \textit{J. Elschner} and \textit{I. G. Graham}, Numer. Math. 70, No. 1, 1--31 (1995; Zbl 0827.65117) Full Text: DOI
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 PDF BibTeX XML Cite \textit{H.-J. Dobner}, Math. Sci. Eng. 189, 225--253 (1993; Zbl 0793.65101)
Logunov, S. L. Stability estimates for solutions of some conditionally correct problems on a set of functions satisfying a Hölder condition. (Russian) Zbl 0733.45014 Zh. Vychisl. Mat. Mat. Fiz. 31, No. 6, 925-929 (1991). Reviewer: U.Kosel (Freiberg) MSC: 45M10 45B05 45E10 45D05 PDF BibTeX XML Cite \textit{S. L. Logunov}, Zh. Vychisl. Mat. Mat. Fiz. 31, No. 6, 925--929 (1991; Zbl 0733.45014)
Bastos, M. A.; Dos Santos, A. F. Convolution equations of the first kind on a finite interval in Sobolev spaces. (English) Zbl 0715.47016 Integral Equations Oper. Theory 13, No. 5, 638-659 (1990). Reviewer: S.G.Samko MSC: 47B35 46E35 47A53 47A50 PDF BibTeX XML Cite \textit{M. A. Bastos} and \textit{A. F. Dos Santos}, Integral Equations Oper. Theory 13, No. 5, 638--659 (1990; Zbl 0715.47016) Full Text: DOI
Grebennikov, A. I. Solving integral equations with a singularity in the kernel by the spline approximation method. (English) Zbl 0816.65136 Sov. J. Numer. Anal. Math. Model. 5, No. 3, 199-208 (1990). MSC: 65R20 65J20 65R30 65J10 45E10 47A50 PDF BibTeX XML Cite \textit{A. I. Grebennikov}, Sov. J. Numer. Anal. Math. Model. 5, No. 3, 199--208 (1990; Zbl 0816.65136)
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 PDF BibTeX XML
Arsenin, V. Ya.; Kriksin, Yu. A.; Timonov, A. A. A local regularization method for linear operator equations of the first kind and its applications. (English. Russian original) Zbl 0691.65046 U.S.S.R. Comput. Math. Math. Phys. 28, No. 3, 113-125 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 6, 793-808 (1988). MSC: 65J10 65R20 47A50 45B05 45E10 PDF BibTeX XML Cite \textit{V. Ya. Arsenin} et al., U.S.S.R. Comput. Math. Math. Phys. 28, No. 3, 113--125 (1988; Zbl 0691.65046); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 6, 793--808 (1988) Full Text: DOI
Arsenin, V. Ya.; Kriksin, Yu. A.; Timonov, A. A. A method of local regularization of linear operator equations of the first kind and its applications. (Russian) Zbl 0681.65036 Zh. Vychisl. Mat. Mat. Fiz. 28, No. 6, 793-808 (1988). Reviewer: V.Ya.Arsenin MSC: 65J10 65R20 47A50 45B05 45E10 PDF BibTeX XML Cite \textit{V. Ya. Arsenin} et al., Zh. Vychisl. Mat. Mat. Fiz. 28, No. 6, 793--808 (1988; Zbl 0681.65036)
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 PDF BibTeX XML
Zelentsov, V. B. On the solution of certain integral equations of mixed problems of plate bending theory. (English. Russian original) Zbl 0589.73050 J. Appl. Math. Mech. 48, 721-727 (1984); translation from Prikl. Mat. Mekh. 48, 983-991 (1984). MSC: 74K20 45L05 74B99 74H99 PDF BibTeX XML Cite \textit{V. B. Zelentsov}, J. Appl. Math. Mech. 48, 721--727 (1984; Zbl 0589.73050); translation from Prikl. Mat. Mekh. 48, 983--991 (1984) Full Text: DOI
Golberg, Michael A. A method of adjoints for solving some ill-posed equations of the first kind. (English) Zbl 0397.65037 Appl. Math. Comput. 5, 123-130 (1979). MSC: 65J10 45E10 45E05 47A50 PDF BibTeX XML Cite \textit{M. A. Golberg}, Appl. Math. Comput. 5, 123--130 (1979; Zbl 0397.65037) Full Text: DOI