Mercurial > forge
diff extra/integration/Contents.m @ 0:6b33357c7561 octave-forge
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author | pkienzle |
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date | Wed, 10 Oct 2001 19:54:49 +0000 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/extra/integration/Contents.m Wed Oct 10 19:54:49 2001 +0000 @@ -0,0 +1,113 @@ +% Numerical Integration Toolbox +% +% MATLAB Toolbox for 1-D, 2-D, and n-D Numerical Integration +% +% Edited Version for OCTAVE +% +% 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 +% +% Easy to use routines: (these routines iteratively integrate with +% higher order quadratures until the integral has +% converged--use these routine unless you want to +% specify the order of integration quadrature that +% is to be used) +% 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 +% README.nit -- introductory readme file +% +% The 1-D routines: +% README -- The original readme file by Howard Wilson +% gquad.m -- Integrates a 1-D function with input Gauss +% points and weights (modified by Bryce Gardner to +% handle an optional parameter in the function to be +% integrated and also to calculate the Gauss points +% and weights on the fly) +% gquad6.m -- Integrates a 1-D function with a 6-point quadrature +% grule.m -- Calculates the Gauss points and weights +% run.log -- File with examples +% +% New 1-D routines: +% quadg.m -- High accuracy replacement for QUAD and QUAD8 +% quadc.m -- 1-D Gauss-Chebyshev integration routine +% crule.m -- Calculates the Gauss-Chebyshev points and weights +% ncrule.m -- Calculates the Newton-Coates points and weights +% +% The 2-D routines: +% quad2dg.m -- 2-D integration over a rectangular region +% quad2dc.m -- 2-D integration over a rectangular region with +% a 1/sqrt(1-x.^2)/sqrt(1-y.^2) sinqularity +% gquad2d.m -- Integrates a 2-D function over a square region +% gquad2d6.m -- Integrates a 2-D function over a square region with +% a 6-point quadrature +% quad2dggen.m -- 2-D integration over a general region +% quad2dcgen.m -- 2-D integration over a general region with +% a 1/sqrt(1-x.^2)/sqrt(1-y.^2) sinqularity +% gquad2dgen.m -- Integrates a 2-D function over a variable region +% (That is the limits on the inner integration are +% defined by a function of the variable of integration +% of the outer integral.) +% grule2d.m -- Calculates the Gauss points and weights for gquad2d.m +% grule2dgen.m -- Calculates the Gauss points and weights for +% gquad2dgen.m +% crule2d.m -- Calculates the Gauss-Chebyshev points and weights +% for gquad2d.m +% crule2dgen.m -- Calculates the Gauss-Chebyshev points and weights +% for gquad2dgen.m +% +% The n-D routines: +% quadndg.m -- n-D integration over an n-D hyper-rectangular region +% gquadnd.m -- Integrates a n-D function over +% an n-D hyper-rectangular +% region using a Gauss quadrature +% cquadnd.m -- Integrates a n-D function over +% an n-D hyper-rectangular +% region using a Gauss-Chebyshev quadrature +% innerfun.m -- used internally to gquadnd.m and cquadnd.m +% +% Utility routines: +% count.m -- routine to count the number of function calls +% zero_count.m -- routine to report the number of function calls and +% then to reset the counter +% +% Test scripts: +% run2dtests.m -- 2-D examples and 1-D Gauss-Chebyshev examples +% tests2d.log -- output of run2dtests.m -- Matlab 4.1 on a Sparc 10 +% test_ncrule.m-- m-file to check the Newton-Coates quadrature +% testsnc.log -- output of test_ncrule.m -- Matlab 4.1 on a Sparc 10 +% test_quadg.m -- m-file to check the quadg routine +% testsqg.log -- output of test_quadg.m -- Matlab 4.1 on a Sparc 10 +% +% Test functions: +% xsquar.m -- xsquar(x)=x.^2 +% xcubed.m -- xcubed(x)=x.^3 +% x25.m -- x25(x)=x.^25 +% fxpow.m -- fxpow(x,y)=x.^y +% hx.m -- hx(x)=sum(x.^2) +% gxy.m -- gxy(x,y)=x.^2+y.^2 +% gxy1.m -- gxy1(x,y)=ones(size(x)) +% gxy2.m -- gxy2(x,y)=sqrt(x.^2+y.^2) +% glimh.m -- glimh(y)=3 +% glimh2.m -- glimh(y)=y +% gliml.m -- gliml(y)=0 +% lcrcl.m -- lcrcl(y)=-sqrt(4-y.^2) +% lcrcu.m -- lcrcu(y)=sqrt(4-y.^2) +%