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Approximations In Geophysics

Gutenberg, B. (1949) Approximations In Geophysics. In: Publication dedicated to Ilmari Bonsdorff on the occasion of his 70th anniversary. Publications of the Finnish Geodetic Institute. No.36. Finnish Geodetic Institute , Helsinki, pp. 41-44. https://resolver.caltech.edu/CaltechAUTHORS:20220328-195435702

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Abstract

A relatively large fraction of theoretical formulations as well as fundamental numerical data in geophysics are based on approximations. Unfortunately in many instances this fact is not realized sufficiently. Theoretical approximations are used for various reasons. For example, very frequently in differential equations only first derivatives are used, and second or higher derivatives are neglected. While this procedure usually does not lead to large errors, there are occasional cases where second derivatives approach, and even surpass the first derivatives in magnitude. Under such conditions results may be misleading and even may prevent progress in the investigation of the problem involved. Other approximations occur in connection with the use of series, where only terms with one or two powers of a quantity are retained regardless of the fact that the neglected terms may contribute appreciably to the results under certain conditions.


Item Type:Book Section
Additional Information:© 1949 Finnish Geodetic Institute.
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Caltech Division of Geological Sciences475
Series Name:Publications of the Finnish Geodetic Institute
Issue or Number:36
Record Number:CaltechAUTHORS:20220328-195435702
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220328-195435702
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114103
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:28 Mar 2022 21:22
Last Modified:28 Mar 2022 21:22

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