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   -> Volume 6, Issue 6


Answer: Connection coefficients on bounded intervals. (WD 6.5 #4)
 
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"Angela Kunoth" (kunoth@IGPM.Rwth-Aachen.DE)
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PostPosted: Fri May 23, 1997 8:49 pm    
Subject: Answer: Connection coefficients on bounded intervals. (WD 6.5 #4)
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#12 Answer: Connection coefficients on bounded intervals. (WD 6.5 #4)

Re: Topic 4 in WD #06, 05: Connection Coefficients on Bounded
Intervals

Responding to the announcement of the paper by B. Peyton and
C.H. Romine "Computing connection coefficients of compactly
supported wavelets on bounded intervals" let me point out that

(1) what is called "proper connection coefficients" there
is a very special case of a general treatment on the computation
of integrals of products of refinable functions by

W. Dahmen and C.A. Micchelli,
"Using the refinement equation for evaluating integrals of
wavelets",
Siam J. Numer. Anal. 30, 1993, 507-537.

(2) I have programmed the Dahmen/Micchelli results in such
a way that integrals of refinable functions can be computed
for up to three spatial dimensions, different derivatives
and arbitrary refinable functions in the integrals, see
my homepage

http://www.igpm.rwth-aachen.de/~kunoth

for a summary of the main theoretical results and a documentation
of the C++-program called

"Computing Refinable Integrals - Documentation of the Program"
(May 1995)

(3) A sophisticated version of the program (with e.g. a
special treatment of the tensor product case) is implemented
in the package "wst" by Karsten Urban for the solution of
Stokes problem in up to three dimensions by wavelets, see

http://elc2.igpm.rwth-aachen.de/~urban/html/progs.html

best regards, angela kunoth
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