A Comparison of Various Integration Methods for Solving Newton's Integral in Detailed Forward Modelling

Robert Tenzer, Z. Hamayun, I. Prutkin

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

4 Citations (Scopus)


We compare the numerical precision and the time efficiency of various integration methods for solving Newton's integral, namely the rectangular prism and the line integral analytical approaches, the linear vertical mass and the Gauss cubature semi-analytical approaches, and the point-mass numerical approach. The relative precision of the semi-analytical and numerical integration methods with respect to the rectangular prism approach is analyzed at the vicinity of the computation point up to one arc-min of spherical distance. The results of the numerical experiment reveal that the Gauss cubature approach is more precise than the linear vertical mass and the point-mass approaches. The time efficiency of integration methods is compared, showing that the point-mass approach is the most time-efficient while the line integral approach is the most time-consuming.
Original languageEnglish
Title of host publicationGravity, Geoid and Earth Observation - IAG Commission 2
Subtitle of host publicationGravity Field
Number of pages8
Publication statusPublished - 1 Dec 2010
Externally publishedYes
EventIAG International Symposium on "Gravity, Geoid and Earth Observation 2008" - Chania, Crete, Germany
Duration: 23 Jun 200827 Jun 2008


ConferenceIAG International Symposium on "Gravity, Geoid and Earth Observation 2008"
CityChania, Crete

ASJC Scopus subject areas

  • Computers in Earth Sciences
  • Geophysics

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