| dc.contributor |
Ward , Joseph D . |
|
| dc.contributor |
Narcowich , Francis J . |
|
| dc.creator |
Le Gia , Quoc Thong |
|
| dc.date |
2004 -09 -30T01 :40 :22Z |
|
| dc.date |
2004 -09 -30T01 :40 :22Z |
|
| dc.date |
2003 -08 |
|
| dc.date |
2004 -09 -30T01 :40 :22Z |
|
| dc.date.accessioned |
2013 -03 -12T17 :36 :20Z |
|
| dc.date.available |
2013 -03 -12T17 :36 :20Z |
|
| dc.date.issued |
2013 -03 -12 |
|
| dc.identifier |
http : / /hdl .handle .net /1969 .1 /22 |
|
| dc.identifier.uri |
http : / /hdl .handle .net /1969 .1 /22 |
|
| dc.description |
The theory of interpolation and approximation of solutions to
differential and integral equations on spheres has attracted
considerable interest in recent years ; it has also been applied
fruitfully in fields such as physical geodesy , potential theory ,
oceanography , and meteorology .
In this dissertation we study the approximation of linear
partial differential equations on spheres , namely a class of
elliptic partial differential equations
and the heat equation on the unit sphere .
The shifts of a spherical basis
function are used to construct the approximate solution . In the
elliptic case , both the finite element method and the collocation method
are discussed . In the heat equation , only the collocation method is
considered . Error estimates in the supremum norms and the Sobolev norms
are obtained when certain regularity conditions are imposed on
the spherical basis functions . |
|
| dc.format |
436604 bytes |
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| dc.format |
120044 bytes |
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| dc.format |
electronic |
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| dc.format |
application /pdf |
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| dc.format |
text /plain |
|
| dc.format |
born digital |
|
| dc.language |
en _US |
|
| dc.publisher |
Texas A &M University |
|
| dc.subject |
spherical basis functions |
|
| dc.subject |
partial differential equations |
|
| dc.subject |
numerical analysis |
|
| dc.title |
Approximation of linear partial differential equations on spheres |
|
| dc.type |
Book |
|
| dc.type |
Thesis |
|
| dc.type |
Electronic Dissertation |
|
| dc.type |
text |
|