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Found 90 Documents (Results 1–90)

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Freeden, Willi; Nashed, M. Zuhair
Inverse gravimetry as an ill-posed problem in mathematical geodesy. (English) Zbl 1407.86016
Freeden, Willi (ed.) et al., Handbook of mathematical geodesy. Functional analytic and potential theoretic methods. Cham: Birkhäuser. Geosyst. Math., 641-685 (2018).
MSC:  86A30 86A22 35R30 35Q86 65D07
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\textit{W. Freeden} and \textit{M. Z. Nashed}, in: Handbook of mathematical geodesy. Functional analytic and potential theoretic methods. Cham: Birkhäuser. 641--685 (2018; Zbl 1407.86016)
Full Text: DOI
Vasin, V. V.; Skurydina, A. F.
Two-stage method of construction of regularizing algorithms for nonlinear ill-posed problems. (English. Russian original) Zbl 1432.65069
Proc. Steklov Inst. Math. 301, Suppl. 1, S173-S190 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 1, 57-74 (2017).
MSC:  65J20
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\textit{V. V. Vasin} and \textit{A. F. Skurydina}, Proc. Steklov Inst. Math. 301, S173--S190 (2018; Zbl 1432.65069); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 1, 57--74 (2017)
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Isakov, Victor
Inverse problems for partial differential equations. 3rd edition. (English) Zbl 1366.65087
Applied Mathematical Sciences 127. Cham: Springer (ISBN 978-3-319-51657-8/hbk; 978-3-319-51658-5/ebook). xv, 406 p. (2017).
Reviewer: Aleksandar Perović (Berlin)
MSC:  65M32 65N21 35-02 35R30 35R25 35B60 35Q61 35Q86 35Q91 35Q93 31B20 47A52 65J22 65J20 74J25 78A46 80A23 81U40 86A22 91G20 93B07
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\textit{V. Isakov}, Inverse problems for partial differential equations. 3rd edition. Cham: Springer (2017; Zbl 1366.65087)
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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
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\textit{M. Richter}, Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele. Heidelberg: Springer Spektrum (2015; Zbl 1331.65083)
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Vasin, V. V.
Modified Newton-type processes generating Fejér approximations of regularized solutions to nonlinear equations. (English. Russian original) Zbl 1305.65148
Proc. Steklov Inst. Math. 284, Suppl. 1, S145-S158 (2014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 2, 85-97 (2013).
MSC:  65J15 65J20 47J06 86A22
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\textit{V. V. Vasin}, Proc. Steklov Inst. Math. 284, S145--S158 (2014; Zbl 1305.65148); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 2, 85--97 (2013)
Full Text: DOI
Akimova, E. N.; Martyshko, P. S.; Misilov, V. E.
Algorithms for solving the structural gravity problem in a multilayer medium. (Russian, English) Zbl 1313.86012
Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 6, 676-679 (2013); translation in Dokl. Earth Sci. 453, 1278-1280 (2013).
Reviewer: Andrei Zemskov (Moskva)
MSC:  86A15 78A46
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\textit{E. N. Akimova} et al., Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 6, 676--679 (2013; Zbl 1313.86012); translation in Dokl. Earth Sci. 453, 1278--1280 (2013)
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Martyshko, P. S.; Ladovskij, I. V.; Byzov, D. D.
Solution of the gravimetric inverse problem using multidimensional grids. (Russian, English) Zbl 1299.86024
Dokl. Akad. Nauk, Ross. Akad. Nauk 450, No. 6, 702-707 (2013); translation in Dokl. Earth Sci. 450, Part 2, 666-671 (2013).
Reviewer: Andrei Zemskov (Moskva)
MSC:  86A22 65N06
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\textit{P. S. Martyshko} et al., Dokl. Akad. Nauk, Ross. Akad. Nauk 450, No. 6, 702--707 (2013; Zbl 1299.86024); translation in Dokl. Earth Sci. 450, Part 2, 666--671 (2013)
Full Text: DOI
Vasin, V. V.; Perestoronina, G. Ya.
The Levenberg-Marquardt method and its modified versions for solving nonlinear equations with application to the inverse gravimetry problem. (English. Russian original) Zbl 1285.47074
Proc. Steklov Inst. Math. 280, Suppl. 1, S174-S182 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 17, No. 2, 53-61 (2011).
MSC:  47J06 65J20 65J22 86A22
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\textit{V. V. Vasin} and \textit{G. Ya. Perestoronina}, Proc. Steklov Inst. Math. 280, S174--S182 (2013; Zbl 1285.47074); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 17, No. 2, 53--61 (2011)
Full Text: DOI
Akimova, E. N.; Belousov, D. V.; Misilov, V. E.
Algorithms for solving inverse geophysical problems on parallel computing systems. (Russian, English) Zbl 1299.65314
Sib. Zh. Vychisl. Mat. 16, No. 2, 107-121 (2013); translation in Numer. Analysis Appl. 6, No. 2, 98-110 (2013).
MSC:  65R32 65Y05 65F22 83-08 83C35 65R20 45Q05 65F10 65F08
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\textit{E. N. Akimova} et al., Sib. Zh. Vychisl. Mat. 16, No. 2, 107--121 (2013; Zbl 1299.65314); translation in Numer. Analysis Appl. 6, No. 2, 98--110 (2013)
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Balk, P. I.; Dolgal’, A. S.
Deterministic approach to the problem of reliability in interpretation results of gravimetric data. (Russian, English) Zbl 1224.86042
Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 1, 102-106 (2010); translation in Dokl. Earth Sci. 431, Part 1, 334-338 (2010).
MSC:  86A22
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\textit{P. I. Balk} and \textit{A. S. Dolgal'}, Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 1, 102--106 (2010; Zbl 1224.86042); translation in Dokl. Earth Sci. 431, Part 1, 334--338 (2010)
Full Text: DOI Link
Vavilova, N. B.; Papusha, I. A.
On application of gradiometer measurements in the airbone gravimetry problem. (English. Russian original) Zbl 1049.70650
Mosc. Univ. Mech. Bull. 54, No. 4, 12-17 (1999); translation from Vestn. Mosk. Univ., Ser. I 1999, No. 4, 39-45 (1999).
Reviewer: V. I. Goncharenko (Kyïv)
MSC:  70M20
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\textit{N. B. Vavilova} and \textit{I. A. Papusha}, Mosc. Univ. Mech. Bull. 54, No. 4, 12--17 (1999; Zbl 1049.70650); translation from Vestn. Mosk. Univ., Ser. I 1999, No. 4, 39--45 (1999)
Lavrent’ev, M. M.; Savel’ev, L. Ya.
Theory of operators and ill-posed problems. Revised and updated version of ‘Linejnye operatory i nekorrektnye zadachi’. (Теория операторов и некорректные задачи.) (Russian) Zbl 0986.47011
Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 701 p. (1999).
Reviewer: Michael Hitrik (Berkeley)
MSC:  47A52 47-01 47A50 35R25 35R30 47A10 47B25 47H10 47J06 34A55
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\textit{M. M. Lavrent'ev} and \textit{L. Ya. Savel'ev}, Теория операторов и некорректные задачи (Russian). Revised and updated version of `Linejnye operatory i nekorrektnye zadachi'. Novosibirsk: Izdatel'stvo Instituta Matematiki Im. S. L. Soboleva SO RAN (1999; Zbl 0986.47011)
Bolotin, Yu. V.; Golovan, A. A.; Kruchinin, P. A.; Parusnikov, N. A.; Tikhomirov, V. V.; Trubnikov, S. A.
Airborne gravimetry problem. Algorithms. Results of testing. (English. Russian original) Zbl 1074.70571
Mosc. Univ. Mech. Bull. 54, No. 2, 1-6 (1999); translation from Vestn. Mosk. Univ., Ser. I 1999, No. 2, 36-41 (1999).
Reviewer: N. V. Nikitina (Kyïv)
MSC:  70Q05 70M20 86A30 86A22
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\textit{Yu. V. Bolotin} et al., Mosc. Univ. Mech. Bull. 54, No. 2, 1--6 (1999; Zbl 1074.70571); translation from Vestn. Mosk. Univ., Ser. I 1999, No. 2, 36--41 (1999)
Koshelev, I. E.
Numerical solution of a linear Fredholm equation of the first kind by a multigrid method. (English. Russian original) Zbl 0933.65059
Russ. Math. 42, No. 2, 31-36 (1998); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1998, No. 2, 34-39 (1998).
Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa)
MSC:  65J10 45B05 65R20 65J20 47A50
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\textit{I. E. Koshelev}, Russ. Math. 42, No. 2, 31--36 (1998; Zbl 0933.65059); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1998, No. 2, 34--39 (1998)
Schwarz, K.-P.; Li, Zuofa
An introduction to airborne gravimetry and its boundary value problems. (English) Zbl 0918.65085
Sansò, Fernando (ed.) et al., Geodetic boundary value problems in view of the one centimeter geoid. Berlin: Springer. Lect. Notes Earth Sci. 65, 312-358 (1997).
MSC:  65Z05 35J05 65N35 86A30 35Q72
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\textit{K. P. Schwarz} and \textit{Z. Li}, in: Geodetic boundary value problems in view of the one centimeter geoid. Berlin: Springer. 312--358 (1997; Zbl 0918.65085)
Kusche, Jürgen
Relativistic modeling for geodetic experiments in local spacetimes. (English) Zbl 0863.53076
Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften. Reihe A, Theoretische Geodäsie. 110. München: Verlag d. Bayerischen Akademie d. Wissenschaften in Komm. bei d. C. H. Beck’schen Verlagsbuchhandlung München, 35 p. (1996).
MSC:  53Z05 86A30 83B05
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\textit{J. Kusche}, Relativistic modeling for geodetic experiments in local spacetimes. München: Verlag d. Bayerischen Akademie d. Wissenschaften in Komm. bei d. C. H. Beck'schen Verlagsbuchhandlung München (1996; Zbl 0863.53076)
Hirsch, Milo
Analysis and numerics of overdetermined boundary value problems in the physical geodesy. (Analyse und Numerik überbestimmter Randwertprobleme in der Physikalischen Geodäsie.) (German. English summary) Zbl 0857.65138
Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften. Reihe C: Dissertationen. 453. München: Verlag d. Bayerischen Akademie d. Wissenschaften in Komm. bei d. C. H. Beck’schen Verlagsbuchhandlung München, 154 p. (1996).
MSC:  65Z05 35S15 35R35 86A30 65M30 35Q72
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\textit{M. Hirsch}, Analyse und Numerik überbestimmter Randwertprobleme in der Physikalischen Geodäsie. München: Verlag d. Bayerischen Akademie d. Wissenschaften in Komm. bei d. C. H. Beck'schen Verlagsbuchhandlung München (1996; Zbl 0857.65138)
Ang, D. D.; Gorenflo, R.; Le, Vy Khoi
A uniqueness theorem for a nonlinear integral equation of gravimetry. (English) Zbl 0843.45004
Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2423-2430 (1996).
MSC:  45G10 86A22 86A20
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\textit{D. D. Ang} et al., in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2423--2430 (1996; Zbl 0843.45004)
Stepanova, I. E.; Strakhov, V. N.
On the construction of a regularized solution of the Fredholm integral equation of the first kind. (English. Russian original) Zbl 0817.65145
Comput. Math. Math. Phys. 33, No. 11, 1523-1529 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 11, 1738-1745 (1993).
MSC:  65R20 65R30 86A20 86A22 45B05
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\textit{I. E. Stepanova} and \textit{V. N. Strakhov}, Comput. Math. Math. Phys. 33, No. 11, 1738--1745 (1993; Zbl 0817.65145); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 11, 1738--1745 (1993)
Isakov, Victor
Prospecting discontinuities by boundary measurements. (English) Zbl 0798.35157
Anger, Gottfried (ed.) et al., Inverse problems: principles and applications in geophysics, technology, and medicine. Proceedings of the international conference held in Potsdam, Germany, August 30 - September 3, 1993. Berlin: Akademie Verlag. Math. Res. 74, 215-223 (1993).
MSC:  35R30 35R05 92C55 86A22
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\textit{V. Isakov}, in: Inverse problems: principles and applications in geophysics, technology, and medicine. Proceedings of the international conference held in Potsdam, Germany, August 30-September 3, 1993. Berlin: Akademie Verlag. 215--223 (1993; Zbl 0798.35157)
Dubrovskij, A. S.; Chikanov, Yu. A.
The minimax approach to solution of inverse gravimetry problems. (Russian) Zbl 0817.31003
Nepejvoda, N. N. (ed.), Mathematical modeling and information technologies. Interuniversity collection of scientific works. Izhevsk: Udmurtskij Gosudarstvennyj Universitet, 10-13 (1991).
MSC:  31A25 86A22
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\textit{A. S. Dubrovskij} and \textit{Yu. A. Chikanov}, in: Matematicheskoe modelirovanie i informatsionnye tekhnologii. Mezhvuzovskij sbornik nauchnykh trudov. Izhevsk: Udmurtskij Gosudarstvennyj Universitet. 10--13 (1991; Zbl 0817.31003)

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