Abstract
We present some old and new ideas and developments in the problem of global modelling of the Earth’s magnetic and paleomagnetic fields. Special attention is paid to the paleomagnetic case. Modelling of insufficient and nonuniformly scattered data required the introduction of a new technique for solving the Least (±) Squares Problem arising from the “global data fitting”.
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References
Chapman, S. and J. Bartels, 1962: Geomagnetism. Vols. 1 and 2, Clarendon Press, Oxford.
Dennis, J.E. and R.B. Schnahel, 1983; Numerical methods for unconstrained optimization and nonlinear equations. Prentice-Hall, Inc., Englewood Cliffs, New Jersey. Gill Ph.E., W. Murray and M. H. Wright, 1981: Practical Optimization, Academic Press, New York.
Kellog, O., 1967: Foundations of Potential Theory. Springer, Berlin.
Nikolskii, S.M., 1988; Quadrature Formalas, Nauka, Moscow (Russian, there is an English translation of earlier editions).
Smythe, W.R., 1950; Static and dynamic electricity. McGraw-Hill, New York.
Sobolev, S.L., 1974; Introduction to the theory of cubature formulas. Nauka, Moscow (Russian, there is an English translation).
Tamm, I.E., 1966; Foundations of electricity theory. Nauka, Moscow (Russian).
Zidarov, D.P., 1971; Paleomagnetic data analysis and the continental drift. Pure Appl. Geoph. 89, VI, 126–133.
Zidarov, D.P., 1985; Earth’s magnetic field modelling and Earth’s structure and evolution. Physics of the Earth and Planet. Interiors 37, 74–86.
Zidarov, D.P., T. Petrova,, 1985s Paleomagnetic. field representating toy field of an optimal electric current loop. C. r. Acad. bulg. sci. 38, 575–578.
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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Kounchev, O. (1990). The Elliptical Current Loop Model of Earth’s Magnetic and Paleomagnetic Field Sources. In: Vogel, A., Ofoegbu, C.O., Gorenflo, R., Ursin, B. (eds) Geophysical Data Inversion Methods and Applications. Theory and Practice of Applied Geophysics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89416-8_14
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DOI: https://doi.org/10.1007/978-3-322-89416-8_14
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-06396-2
Online ISBN: 978-3-322-89416-8
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