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Boundary-Value Problems for Gravimetric Determination of a Precise Geoid (1998)

Boundary-Value Problems for Gravimetric Determination of a Precise Geoid

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"Boundary-Value Problems for Gravimetric Determination of a Precise Geoid" by Zdenek Martinec is a mathematics book and learning resource focused on Astronomical Data. Best for teachers, students, and readers looking for stronger mathematical understanding.

This book offers a simultaneous treatment of the theory and numerical application of boundary-value problems related to the determination of a precise geoid from gravimetric data. The following subjects are discussed: topographical effects and their computations in precise gravimetric geoid determination, the downward continuation of a harmonic function, Stokes' problem formulated on an ellipsoid of revolution, spherical Stokes' problem with ellipsoidal corrections involved in boundary conditions for an anomalous potential, and the altimetry-gravimetry boundary-value problem. The answer to a number of scientific problems, raised and discussed in geodetic literature over the past years, can be found here. The book is intended for scientists and advanced graduate students.

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Best For: Researchers and professionals in geodesy and earth sciences focusing on precise geoid determination.
Focus: Theoretical and numerical methods for solving boundary-value problems in gravimetric geoid determination.
Covers: Topographical effects, downward continuation of harmonic functions, and Stokes' problem on ellipsoids relevant to gravimetric data analysis.
Why It Matters: Provides a detailed approach to improving the accuracy of geoid models essential for earth science applications and precise location measurements.

"Boundary-Value Problems for Gravimetric Determination of a Precise Geoid" by Zdenek Martinec is a mathematics book and learning resource focused on Astronomical Data. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Astronomical Data

Author: Zdenek Martinec

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This book offers a simultaneous treatment of the theory and numerical application of boundary-value problems related to the determination of a precise geoid from gravimetric data. The following subjects are discussed: topographical effects and their computations in precise gravimetric geoid determination, the downward continuation of a harmonic function, Stokes' problem formulated on an ellipsoid of revolution, spherical Stokes' problem with ellipsoidal corrections involved in boundary conditions for an anomalous potential, and the altimetry-gravimetry boundary-value problem. The answer to a number of scientific problems, raised and discussed in geodetic literature over the past years, can be found here. The book is intended for scientists and advanced graduate students.

AuthorZdenek Martinec
PublisherSpringer
Published1998-08-20
ISBN-139783540644620
BindingPaperback
Pages244
LanguageEnglish
SubjectsMathematics
TopicAstronomical Data
SeriesLecture Notes in Earth Sciences

Format: Paperback

Length: 244 pages

Language: English

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