Ellipsoidal harmonics. Theory and applications
Dassios G.
The ellipsoidal system and its geometry -- Differential operators in ellipsoidal geometry -- Lamé functions -- Ellipsoidal harmonics -- The theory of Niven and Cartesian harmonics -- Integration techniques -- Boundary value problems in ellipsoidal geometry -- Connection between harmonics -- The elliptic functions approach -- Ellipsoidal biharmonic functions -- Vector ellipsoidal harmonics -- Applications to geometry -- Applications to physics -- Applications to low-frequency scattering theory -- Applications to bioscience -- Applications to inverse problems.
Abstract: The ellipsoidal system and its geometry -- Differential operators in ellipsoidal geometry -- Lamé functions -- Ellipsoidal harmonics -- The theory of Niven and Cartesian harmonics -- Integration techniques -- Boundary value problems in ellipsoidal geometry -- Connection between harmonics -- The elliptic functions approach -- Ellipsoidal biharmonic functions -- Vector ellipsoidal harmonics -- Applications to geometry -- Applications to physics -- Applications to low-frequency scattering theory -- Applications to bioscience -- Applications to inverse problems
Abstract: The ellipsoidal system and its geometry -- Differential operators in ellipsoidal geometry -- Lamé functions -- Ellipsoidal harmonics -- The theory of Niven and Cartesian harmonics -- Integration techniques -- Boundary value problems in ellipsoidal geometry -- Connection between harmonics -- The elliptic functions approach -- Ellipsoidal biharmonic functions -- Vector ellipsoidal harmonics -- Applications to geometry -- Applications to physics -- Applications to low-frequency scattering theory -- Applications to bioscience -- Applications to inverse problems
Kategorie:
Rok:
2012
Wydawnictwo:
Cambridge University Press
Język:
english
Strony:
476
ISBN 10:
0521113091
ISBN 13:
9780521113090
Serie:
Encyclopedia of mathematics and its applications ; 146
Plik:
PDF, 2.69 MB
IPFS:
,
english, 2012
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