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Index for integration
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nit: <directory>

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 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
 
 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

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misc: <directory>  Integration of math expressions

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dquad.m:

  DQUAD     Numerically integrates an expression using QUAD.
            I = DQUAD('1/(1+x^3)',a,b) approximates,
 
                                      a
                                     /
                                    |     1    
                                    | ----------- dX
                                    |        3
                                    |  (1 + x  )
                                   /
                                   b

      D. Thomas  2/93
      dethomas@athena.mit.edu

dquad8.m:

  DQUAD     Numerically integrates an expression using QUAD8.
            I = DQUAD8('exp(-x^2)/(1+x^(1/2))',a,b) approximates,
 
                                   a
                                  /        2
                                 |  exp(- x )
                                 |  --------- dx
                                 |        1/2
                                /    1 + x
                                b
      D. Thomas  2/93
      dethomas@athena.mit.edu

trapz.m:

  a = trapz(y,x)

  find the area under the curve y = f(x) using the trapezoidal rule
   x = vector containing the independent variable data points
       the elements of x need not be equally spaced
   y = f(x) = vector of the function values corresponding to the
       elements in x

  a = the area under f(x) in the interval defined by x

 
 Written by: Duane Hanselman, University of Maine, (207)-581-2246
