Dr. Autar Kaw: New Applications
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en-us2015 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSun, 24 May 2015 11:14:24 GMTSun, 24 May 2015 11:14:24 GMTNew applications published by Dr. Autar Kawhttp://www.mapleprimes.com/images/mapleapps.gifDr. Autar Kaw: New Applications
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Naive Gauss Elimination Method
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The worksheet shows the step by step procedure for solving set of simultaneous linear equations using Naive Gauss Elimination Method.<img src="/view.aspx?si=4863//applications/images/app_image_blank_lg.jpg" alt="Naive Gauss Elimination Method" align="left"/>The worksheet shows the step by step procedure for solving set of simultaneous linear equations using Naive Gauss Elimination Method.4863Fri, 26 Jan 2007 00:00:00 ZDr. Autar KawDr. Autar KawLU Decomposition
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This worksheet shows the algorithm for the LU Decomposition of solving Simultaneous Linear Equations.<img src="/view.aspx?si=4862//applications/images/app_image_blank_lg.jpg" alt="LU Decomposition" align="left"/>This worksheet shows the algorithm for the LU Decomposition of solving Simultaneous Linear Equations.4862Fri, 26 Jan 2007 00:00:00 ZDr. Autar KawDr. Autar KawDirect Method of Polynomial Interpolation
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This worksheet demonstrates the use of Maple to illustrate the direct method of interpolation. We limit this worksheet to using first, second, and third order polynomials. <img src="/view.aspx?si=4399//applications/images/app_image_blank_lg.jpg" alt="Direct Method of Polynomial Interpolation " align="left"/>This worksheet demonstrates the use of Maple to illustrate the direct method of interpolation. We limit this worksheet to using first, second, and third order polynomials. 123873Fri, 13 Jun 2003 14:25:27 ZDr. Autar KawDr. Autar KawLagrangian Method of Interpolation
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This worksheet demonstrates the use of Maple to illustrate the Lagrangian method of interpolation. We limit this worksheet to using first, second, and third order polynomials. <img src="/view.aspx?si=4398//applications/images/app_image_blank_lg.jpg" alt="Lagrangian Method of Interpolation " align="left"/>This worksheet demonstrates the use of Maple to illustrate the Lagrangian method of interpolation. We limit this worksheet to using first, second, and third order polynomials. 123872Fri, 13 Jun 2003 14:22:38 ZDr. Autar KawDr. Autar KawSpline Method of Interpolation
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This worksheet demonstrates the use of Maple to illustrate the spline method of interpolation. We limit this worksheet to linear and quadratic spline interpolation.<img src="/view.aspx?si=4397//applications/images/app_image_blank_lg.jpg" alt="Spline Method of Interpolation " align="left"/>This worksheet demonstrates the use of Maple to illustrate the spline method of interpolation. We limit this worksheet to linear and quadratic spline interpolation.123871Fri, 13 Jun 2003 14:03:38 ZDr. Autar KawDr. Autar KawNewton Divided Difference Method of Interpolation
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This worksheet demonstrates the use of Maple to illustrate the Newton's Divided Difference Method of interpolation. We limit this worksheet to using first, second, and third order polynomials.<img src="/view.aspx?si=4396//applications/images/app_image_blank_lg.jpg" alt="Newton Divided Difference Method of Interpolation " align="left"/>This worksheet demonstrates the use of Maple to illustrate the Newton's Divided Difference Method of interpolation. We limit this worksheet to using first, second, and third order polynomials.123870Fri, 13 Jun 2003 14:00:45 ZDr. Autar KawDr. Autar KawFinding the Shortest Smooth Path for a Robot
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This worksheet demonstrates the use of Maple for finding the shortest smooth path for the path of a robot in the area of manufacturing. It illustrates how spline interpolation can be used to determine this path.<img src="/view.aspx?si=4376/1172.jpg" alt="Finding the Shortest Smooth Path for a Robot" align="left"/>This worksheet demonstrates the use of Maple for finding the shortest smooth path for the path of a robot in the area of manufacturing. It illustrates how spline interpolation can be used to determine this path.4376Thu, 17 Apr 2003 10:37:50 ZDr. Autar KawDr. Autar KawThe Dangers of Extrapolation
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This worksheet demonstrates the use of Maple to show how extrapolation can be dangerous and can lead to wrong and erroneous estimations. This is illustrated using NASDAQ reports from 1994-2001.<img src="/view.aspx?si=4375//applications/images/app_image_blank_lg.jpg" alt="The Dangers of Extrapolation" align="left"/>This worksheet demonstrates the use of Maple to show how extrapolation can be dangerous and can lead to wrong and erroneous estimations. This is illustrated using NASDAQ reports from 1994-2001.4375Thu, 17 Apr 2003 10:34:27 ZDr. Autar KawDr. Autar KawThe Need for Spline Interpolation
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This worksheet demonstrates the use of Maple to motivate spline interpolation. It illustrates how interpolation using splines can be more accurate when compared to interpolation using polynomials.<img src="/view.aspx?si=4374//applications/images/app_image_blank_lg.jpg" alt="The Need for Spline Interpolation" align="left"/>This worksheet demonstrates the use of Maple to motivate spline interpolation. It illustrates how interpolation using splines can be more accurate when compared to interpolation using polynomials.4374Thu, 17 Apr 2003 10:31:47 ZDr. Autar KawDr. Autar KawHigher Order Interpolation is a Bad Idea
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This worksheet demonstrates the use of Maple to show how higher interpolation can be a bad idea. It illustrates how choosing more data points can result in highly oscillatory polynomial functions.<img src="/view.aspx?si=4373//applications/images/app_image_blank_lg.jpg" alt="Higher Order Interpolation is a Bad Idea" align="left"/>This worksheet demonstrates the use of Maple to show how higher interpolation can be a bad idea. It illustrates how choosing more data points can result in highly oscillatory polynomial functions.4373Thu, 17 Apr 2003 10:30:11 ZDr. Autar KawDr. Autar KawThe Effect of Choice of Points on Polynomial Interpolation
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Using the Runge function as an example, this worksheet demonstrates the use of Maple to show how the choice of points affects the polynomial interpolation of a function<img src="/view.aspx?si=4372//applications/images/app_image_blank_lg.jpg" alt="The Effect of Choice of Points on Polynomial Interpolation" align="left"/>Using the Runge function as an example, this worksheet demonstrates the use of Maple to show how the choice of points affects the polynomial interpolation of a function4372Thu, 17 Apr 2003 10:27:04 ZDr. Autar KawDr. Autar Kaw