Finite pointset methods on the sphere and their application in physical geodesy:
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
1995
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | I, 102 S. graph. Darst. |
Staff View
MARC
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| 100 | 1 | |a Cui, Jianjun |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Finite pointset methods on the sphere and their application in physical geodesy |c Jianjun Cui |
| 264 | 1 | |c 1995 | |
| 300 | |a I, 102 S. |b graph. Darst. | ||
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| 502 | |a Kaiserslautern, Univ., Diss., 1995 | ||
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Record in the Search Index
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| adam_text |
CONTENTS
1
INTRODUCTION
1
2
SPHERICAL
HARMONICS
5
3
SOBOLEV
SPACES
AND
PSEUDODIFFERENTIAL
OPERATORS
10
3.1
SOBOLEV
SPACES
.
10
3.2
PSEUDODIFFERENTIAL
OPERATORS
.
17
4
FINITE
POINTSET
APPROXIMATION
ON
THE
SPHERE
24
4.1
EQUIDISTRIBUTION
ON
THE
SPHERE
.
24
4.2
WEIGHTED
FINITE
POINTSET
APPROXIMATION
.
31
4.3
NON-UNIFORM
F-DISTRIBUTION
.
35
4.4
GENERATING
POINT
SYSTEMS
ON
THE
SPHERE
AND
THEIR
DISCREPANCY
.
40
4.5
SOME
APPROXIMATE
INTEGRATION
FORMULAS
AND
TESTS
.
55
4.5.1
INTEGRATION
WITH
SCATTERED
DATA
.
56
4.5.2
LOW
DISCREPANCY
METHOD
.
59
4.5.3
NUMERICAL
INTEGRATION
OF
HIGH
DEGREE
SPHERICAL
HARMONIC
COEFFI
CIENTS
.
60
5
FINITE
POINTSET
METHODS
FOR
INTEGRAL
EQUATIONS
63
5.1
FPM
FOR
SINGLE
LAYER
POTENTIAL
EQUATION
.
65
5.2
FPM
FOR
INTEGRAL
EQUATIONS
CORRESPONDING
TO
SMOOTHING
KERNELS
.
74
5.3
CONVERGENCE
OF
POINT
COLLOCATION
METHODS
.
81
5.4
NUMERICAL
TESTS
.
86
6
APPLICATIONS
IN
PHYSICAL
GEODESY
89
6.1
PSEUDODIFFERENTIAL
EQUATIONS
IN
PHYSICAL
GEODESY
.
89
6.2
FPM
FOR
SATELLITE
GRADIOMETRY
PROBLEM
.
93 |
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| id | DE-604.BV010339363 |
| illustrated | Illustrated |
| indexdate | 2024-08-18T00:43:51Z |
| institution | BVB |
| language | English |
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| physical | I, 102 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| spelling | Cui, Jianjun Verfasser aut Finite pointset methods on the sphere and their application in physical geodesy Jianjun Cui 1995 I, 102 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kaiserslautern, Univ., Diss., 1995 Finite-Punktmengen-Methode (DE-588)4366410-6 gnd rswk-swf Mathematische Geodäsie (DE-588)4275272-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Finite-Punktmengen-Methode (DE-588)4366410-6 s DE-604 Mathematische Geodäsie (DE-588)4275272-3 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006881835&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cui, Jianjun Finite pointset methods on the sphere and their application in physical geodesy Finite-Punktmengen-Methode (DE-588)4366410-6 gnd Mathematische Geodäsie (DE-588)4275272-3 gnd |
| subject_GND | (DE-588)4366410-6 (DE-588)4275272-3 (DE-588)4113937-9 |
| title | Finite pointset methods on the sphere and their application in physical geodesy |
| title_auth | Finite pointset methods on the sphere and their application in physical geodesy |
| title_exact_search | Finite pointset methods on the sphere and their application in physical geodesy |
| title_full | Finite pointset methods on the sphere and their application in physical geodesy Jianjun Cui |
| title_fullStr | Finite pointset methods on the sphere and their application in physical geodesy Jianjun Cui |
| title_full_unstemmed | Finite pointset methods on the sphere and their application in physical geodesy Jianjun Cui |
| title_short | Finite pointset methods on the sphere and their application in physical geodesy |
| title_sort | finite pointset methods on the sphere and their application in physical geodesy |
| topic | Finite-Punktmengen-Methode (DE-588)4366410-6 gnd Mathematische Geodäsie (DE-588)4275272-3 gnd |
| topic_facet | Finite-Punktmengen-Methode Mathematische Geodäsie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006881835&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT cuijianjun finitepointsetmethodsonthesphereandtheirapplicationinphysicalgeodesy |