Gronwall's inequality in an approximate computation of ellipsoidal harmonics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F03%3A00007390" target="_blank" >RIV/00025615:_____/03:00007390 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Gronwall's inequality in an approximate computation of ellipsoidal harmonics

Original language description

The purpose of this paper is to discuss the difference between the solution of the exact and an approximate version of an ordinary differential equation, which results from the use of the method of separation of variables in the solution of Laplace's partial differential equation. The problem is interpreted in terms of systems of ordinary differential equations of the first order and Gronwall's inequality is applied as an efficient tool to get an estimate of the investigated difference. The problem is motivated by the use of ellipsoidal harmonics in refined studies on Earth gravitational potential.

Czech name

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Czech description

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Type

C - Chapter in a specialist book

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2003

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name

Em.Univ.-Prof. Dipl.-Ing. Dr.h.c.mult. Dr.techn. Helmut Moritz Festschrift zum 70. Geburtstag

ISBN

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Number of pages of the result

12

Pages from-to

111-122

Number of pages of the book

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Publisher name

Institut fuer Geodaesie,Technische Universitaet Graz

Place of publication

Graz

UT code for WoS chapter

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