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一些用Matlab编写的数学函数,供参考。
Numerical Integration Toolbox
MATLAB Toolbox for 1-D, 2-D, and n-D Numerical Integration
The original 1-D routines were obtained from NETLIB and were
written by
Howard Wilson
Department of Engineering Mechanics
University of Alabama
Box 870278
Tuscaloosa, Alabama 35487-0278
Phone 205 348-1617
Email address: HWILSON @ UA1VM.UA.EDU
The rest of the routines were written by
Bryce Gardner
Ray W. Herrick Laboratories
Purdue University
West Lafayette, IN 47906
Phone: 317-494-0231
Fax:317-494-0787
Email: gardner@ecn.purdue.edu
Updated by the MathTools for MATCOM, Matlab 5 compatibity
MathTools Ltd
Web: www.mathtools.com
Email: info@mathtools.com
These are the general purpose integration routines:
quadg.m -- High accuracy replacement for QUAD and QUAD8 (1-D)
quad2dg.m -- 2-D integration over a rectangular region
quad2dggen.m -- 2-D integration over a general region
quadndg.m -- n-D integration over a n-D hyper-rectangular region
Use the other routines if you want a specific integration quadrature or
specific order of integration quadrature. It is faster if you know that
you need a 10th order integration quadrature to use it directly. If you
use the above routines, the integration will be done with quadratures of
several different orders until the results converge. |
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