Nonlinear Solutions of the Geodetic Boundary Value Problem PDF Download
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Author: Helmut Moritz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 56
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Book Description
A complete series solution of Molodensky's boundary value problem is derived using, instead of an integral equation, analytical continuation by means of power series. This solution is shown to be equivalent, term by term, to the Molodensky-Brovar series, but is simpler and practically more convenient. This equivalence gives a physical explanation of the divergence of the Molodensky series. The exclusion of topographic masses to improve convergence is discussed, and computational formulas for height anomalies and deflections of the vertical are given. In the Appendix, structural similarities between the series of celestial mechanics and of physical geodesy are used to get an insight into the convergence behavior of these series. Another argument for the divergence of series of Molodensky type is given. (Author).
Author: Helmut Moritz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 56
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Book Description
A complete series solution of Molodensky's boundary value problem is derived using, instead of an integral equation, analytical continuation by means of power series. This solution is shown to be equivalent, term by term, to the Molodensky-Brovar series, but is simpler and practically more convenient. This equivalence gives a physical explanation of the divergence of the Molodensky series. The exclusion of topographic masses to improve convergence is discussed, and computational formulas for height anomalies and deflections of the vertical are given. In the Appendix, structural similarities between the series of celestial mechanics and of physical geodesy are used to get an insight into the convergence behavior of these series. Another argument for the divergence of series of Molodensky type is given. (Author).
Author: C. Rogers
Publisher: Academic Press
ISBN: 0080958702
Category : Computers
Languages : en
Pages : 433
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Book Description
Overall, our object has been to provide an applications-oriented text that is reasonably self-contained. It has been used as the basis for a graduate-level course both at the University of Waterloo and at the Centro Studie Applicazioni in Tecnologie Avante, Bari, Italy. The text is aimed, in the main, at applied mathematicians with a strong interest in physical applications or at engineers working in theoretical mechanics.
Author: Milan Kubíček
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Author: Martin van Gelderen
Publisher:
ISBN: 9789061322412
Category : Boundary value problems
Languages : en
Pages : 160
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Book Description
Author: Herbert B. Keller
Publisher: SIAM
ISBN: 9781611970449
Category : Mathematics
Languages : en
Pages : 69
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Book Description
Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.
Author: H Begehr
Publisher: CRC Press
ISBN: 9780582292048
Category : Mathematics
Languages : en
Pages : 282
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Book Description
Author: Lloyd Jackson
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 84
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Book Description
Author: Helmut Moritz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 107
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Book Description
Author: Andrzej Granas
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 140
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Author: Zachariah Sinkala
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 250
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Book Description
