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   -> Volume 2, Issue 8


Preprint available: Wavelets for the fast solution of ODE's.
 
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Wim Sweldens, University of South Carolina
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PostPosted: Fri Nov 29, 2002 3:30 pm    
Subject: Preprint available: Wavelets for the fast solution of ODE's.
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Preprint available: Wavelets for the fast solution of ODE's.

Title: Wavelet multiresolution analyses adapted for the fast solution of
boundary value ordinary differential equations

Authors: Bjorn Jawerth and Wim Sweldens

Abstract:
We present ideas on how to use wavelets in the solution
of boundary value ordinary differential equations. Rather than
using classical wavelets, we adapt their construction so that
they become (bi)orthogonal with respect to the inner
product defined by the operator. The stiffness matrix in
a Galerkin method then becomes diagonal and can thus be
trivially inverted. We show how one can construct an
O(N) algorithm for various constant and variable coefficient
operators.

Status: Industrial Mathematics Initiative, Report 1993:3
To appear the in proceedings of the sixth Copper Mountain
Multigrid Conference, April 1993.

The postscript or tex (without figures) file of this paper can be
retrieved by using anonymous ftp to maxwell.math.sc.edu,
directory /pub/imi_93, files imi93_3.tex or imi93_3.ps.
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