Introduction to PV-WAVE

Welcome to IT’s seminar on statistical packages

Sam Gordji, ccsam@olemiss.edu

Weir 107

List of Statistical Packages

• SPSS

• SAS

• Mathematica

• MathWorks

• IMSL

Statistical Package:SAS/PC (cont.)

• 50 copies are available for faculty use• For each copy purchased, a faculty

member can get a free copy (to be installed on a student PC)

• The cost is $100 per copy per year• To obtain a copy of SAS please email

– ccsam@olemiss.edu – assist@mcsr.olemiss.edu

List of Statistical Packages

Mathematica

Mathematica (free copy for faculty, staff, and students). To obtain a copy of Mathematica please visit:

http://www.mcsr.olemiss.edu/appssubpage.php?pagename=mathematica.inc

List of Statistical Packages

Matlab

Matlab is available on willow and sweetgum

Other packages such as Fortran, IMSL, etc. will be mentioned briefly

List of Statistical Packages

IMSL

IMSL is a comprehensive package containing math, stat., and special functions

IMSL is available only on sweetgum

IMSL is a set of subroutines called by a Fortran program

PV-WAVE is a set of subroutines and is available only on willow and sweetgum

General Information

Email contact– Email your questions to ccsam@olemiss.edu

To download this and other materials visit: http://www.mcsr.olemiss.edu/appssubpage.

php?pagename=mathcamp.inc

Please fill out the performance report and leave your email address so we may contact you for follow up questions

General Information

SAS performs statistical analysis SPSS performs statistical analysis and is

similar to SAS Mathematica’s main function is to perform

mathematical operations including statistics

MathWorks is similar to Mathematica and is available on willow and sweetgum

General Information

IT staff will assist users to access these packages. We also assist users to find the proper procedure to analyze their data. If you need assistance please send an email to Sam Gordji at ccsam@olemiss.edu,

assist@mcsr.olemiss.edu , or

mathadm@olemiss.edu

Using PV To Solve Real Life Example

• Analytical Approach to Evaporation Problem Using Linearized Richards’ Equation and the Application of Green Function

PV-WAVE at UM/MCSR

• PV-WAVE is a comprehensive package for obtaining solutions for linear and non-linear equations and has a powerful graphics feature that is capable of graphing complex functions.

• Most if not all the famous mathematical and statistical functions such as Error Function, Gamma Function, FFT, etc, are programmed in PV-WAVE and are available without much effort.

• Instructions on how to run PV-WAVE is on this web page for PV8.5:

http://www.mcsr.olemiss.edu/appssubpage.php?pagename=pvwave.incAnd the following web page for PV9.0:

http://www.mcsr.olemiss.edu/appssubpage.php?pagename=pvwave9.inc

• The following two examples graph and solve equations 13 and 15 obtained by J. M. Chen et al.

• The t-axis on the graph represents the time in seconds and f(t) represents the rain fall intensity q(T), the rate at which the rainfall piles up on a certain soil (silt loam).

chen5_ex.pro

• ; *** This graphs, eq. 13 on pg. 1092 of Ap. 2001 of WRR paper by J.M. Chen. ****• ; ** This is for the case when gama=5 & n=0, F(T)=5 ***• ; Next 3 lines defines the problem. • FUNCTION f,t• RETURN, .0018455*(SQRT(t/3.14)+1.)*exp(-0.25*t) • END

• ; pro or procedure tell the compiler that a user prog. module follows• PRO chen5_ex

• ; activate the Math toolkit• MATH_INIT• t= INTERPOL([0,100],400000)• ; plot statement plots f, f(t) with the range of 0 to 2 and .0018 to .0023 • plot, t, f(t), xrange=[0,2], yrange=[.0018,.0023]• ; zero=zerovect(f(t),t)• ; print, zero• ; oplot , plots the second plot in our case it plots over the original plot • oplot, [zero], [f(zero)], psym=6• END

Program Zerovec_ex.pro Solves Equation 14 or 15 to obtain time for surface saturation

• ;;;;;;;;;zerovec_ex.pro, As before the three lines are to define the problem;;;;;;;;;;;;;;• FUNCTION f,t• RETURN, 2.18*SQRT((1/3.14)*t)*exp(-0.25*t) - 0.216• END

• PRO zerovec_ex• ; pro = procedure zerovec_ex• MATH_INIT• ; call Mathematical Tool Kit from IMSL/PV• t= INTERPOL([0,14],10000)• ; Interpolate the above function from 0 to 14 with n=10000• ; choosing smaller number for n may yield a curve that is not smooth• ; or may yeild bad answers• plot, t, f(t)• ; plot t and f(t)• zero=zerovect(f(t),t)• ; call zerovect and find zeros of the above function• print, zero• ;print the results• oplot, [zero], [f(zero)], psym=6• xyouts, .2, .5, ' Computed zero is at x=' +STRING(zero(0))+' and x='+STRING(zero(1))• ; print the answers on the graph as well• END• ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;• ;;;;;;;;;

Note that the below equation has 2 solution t=0.03131, 11.914

Web Pages

• Link below gets you to IMSL main site:

http://www.imsl.com/

http://www.imsl.com/products/imsl/fortran/overview.php

http://www.imsl.com/products/imsl/fortran/whatsNew.php