Spherical radial basis functions, theory and applications:
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | SpringerBriefs in mathematics
|
| Subjects: | |
| Online Access: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (X, 143 S.) 7 illus., 3 illus. in color |
| ISBN: | 9783319179391 |
| ISSN: | 2191-8198 |
| DOI: | 10.1007/978-3-319-17939-1 |
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Record in the Search Index
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| adam_text |
SPHERICAL RADIAL BASIS FUNCTIONS, THEORY AND APPLICATIONS
/ HUBBERT, SIMON
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
MOTIVATION AND BACKGROUND FUNCTIONAL ANALYSIS
THE SPHERICAL BASIS FUNCTION METHOD
ERROR BOUNDS VIA DUCHON'S TECHNIQUE
RADIAL BASIS FUNCTIONS FOR THE SPHERE
FAST ITERATIVE SOLVERS FOR PDES ON SPHERES
PARABOLIC PDES ON SPHERES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SPHERICAL RADIAL BASIS FUNCTIONS, THEORY AND APPLICATIONS
/ HUBBERT, SIMON
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK IS THE FIRST TO BE DEVOTED TO THE THEORY AND APPLICATIONS OF
SPHERICAL (RADIAL) BASIS FUNCTIONS (SBFS), WHICH IS RAPIDLY EMERGING AS
ONE OF THE MOST PROMISING TECHNIQUES FOR SOLVING PROBLEMS WHERE
APPROXIMATIONS ARE NEEDED ON THE SURFACE OF A SPHERE. THE AIM OF THE
BOOK IS TO PROVIDE ENOUGH THEORETICAL AND PRACTICAL DETAILS FOR THE
READER TO BE ABLE TO IMPLEMENT THE SBF METHODS TO SOLVE REAL WORLD
PROBLEMS. THE AUTHORS STRESS THE CLOSE CONNECTION BETWEEN THE THEORY OF
SBFS AND THAT OF THE MORE WELL-KNOWN FAMILY OF RADIAL BASIS FUNCTIONS
(RBFS), WHICH ARE WELL-ESTABLISHED TOOLS FOR SOLVING APPROXIMATION
THEORY PROBLEMS ON MORE GENERAL DOMAINS. THE UNIQUE SOLVABILITY OF THE
SBF INTERPOLATION METHOD FOR DATA FITTING PROBLEMS IS ESTABLISHED AND AN
IN-DEPTH INVESTIGATION OF ITS ACCURACY IS PROVIDED. TWO CHAPTERS ARE
DEVOTED TO PARTIAL DIFFERENTIAL EQUATIONS (PDES). ONE DEALS WITH THE
PRACTICAL IMPLEMENTATION OF AN SBF-BASED SOLUTION TO AN ELLIPTIC PDE AND
ANOTHER WHICH DESCRIBES AN SBF APPROACH FOR SOLVING A PARABOLIC
TIME-DEPENDENT PDE, COMPLETE WITH ERROR ANALYSIS. THE THEORY DEVELOPED
IS ILLUMINATED WITH NUMERICAL EXPERIMENTS THROUGHOUT. SPHERICAL RADIAL
BASIS FUNCTIONS, THEORY AND APPLICATIONS WILL BE OF INTEREST TO GRADUATE
STUDENTS AND RESEARCHERS IN MATHEMATICS AND RELATED FIELDS SUCH AS THE
GEOPHYSICAL SCIENCES AND STATISTICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
| author | Hubbert, Simon Lê Gia, Quôc Thông 1975- Morton, Tanya M. 19XX- |
| author_GND | (DE-588)1072386798 (DE-588)1072388065 |
| author_facet | Hubbert, Simon Lê Gia, Quôc Thông 1975- Morton, Tanya M. 19XX- |
| author_role | aut aut aut |
| author_sort | Hubbert, Simon |
| author_variant | s h sh g q t l gqt gqtl t m m tm tmm |
| building | Verbundindex |
| bvnumber | BV042592244 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
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| dewey-full | 511.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.4 |
| dewey-search | 511.4 |
| dewey-sort | 3511.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-17939-1 |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2025-03-04T05:00:12Z |
| institution | BVB |
| isbn | 9783319179391 |
| issn | 2191-8198 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028025456 |
| oclc_num | 910748247 |
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| physical | 1 Online-Ressource (X, 143 S.) 7 illus., 3 illus. in color |
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| spelling | Hubbert, Simon Verfasser aut Spherical radial basis functions, theory and applications Simon Hubbert ; Quôc Thông Lê Gia ; Tanya M. Morton Cham [u.a.] Springer 2015 1 Online-Ressource (X, 143 S.) 7 illus., 3 illus. in color txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics 2191-8198 Mathematics Physical geography Global analysis Differential equations, partial Numerical analysis Approximations and Expansions Partial Differential Equations Numerical Analysis Global Analysis and Analysis on Manifolds Geophysics/Geodesy Mathematik Lê Gia, Quôc Thông 1975- Verfasser (DE-588)1072386798 aut Morton, Tanya M. 19XX- Verfasser (DE-588)1072388065 aut Erscheint auch als Druckausgabe 978-3-319-17938-4 https://doi.org/10.1007/978-3-319-17939-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025456&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Hubbert, Simon Lê Gia, Quôc Thông 1975- Morton, Tanya M. 19XX- Spherical radial basis functions, theory and applications Mathematics Physical geography Global analysis Differential equations, partial Numerical analysis Approximations and Expansions Partial Differential Equations Numerical Analysis Global Analysis and Analysis on Manifolds Geophysics/Geodesy Mathematik |
| title | Spherical radial basis functions, theory and applications |
| title_auth | Spherical radial basis functions, theory and applications |
| title_exact_search | Spherical radial basis functions, theory and applications |
| title_full | Spherical radial basis functions, theory and applications Simon Hubbert ; Quôc Thông Lê Gia ; Tanya M. Morton |
| title_fullStr | Spherical radial basis functions, theory and applications Simon Hubbert ; Quôc Thông Lê Gia ; Tanya M. Morton |
| title_full_unstemmed | Spherical radial basis functions, theory and applications Simon Hubbert ; Quôc Thông Lê Gia ; Tanya M. Morton |
| title_short | Spherical radial basis functions, theory and applications |
| title_sort | spherical radial basis functions theory and applications |
| topic | Mathematics Physical geography Global analysis Differential equations, partial Numerical analysis Approximations and Expansions Partial Differential Equations Numerical Analysis Global Analysis and Analysis on Manifolds Geophysics/Geodesy Mathematik |
| topic_facet | Mathematics Physical geography Global analysis Differential equations, partial Numerical analysis Approximations and Expansions Partial Differential Equations Numerical Analysis Global Analysis and Analysis on Manifolds Geophysics/Geodesy Mathematik |
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