Rank: 72 based on 582 downloads (last 30 days) and 42 files submitted
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Greg von Winckel

E-mail
Company/University
Karl-Franzens Universität Graz
Lat/Long
47.078957, 15.448676

Personal Profile:

I am an assistant professor at Karl-Franzens Universität in Graz, Austria. I program in MATLAB and Python for scientific computing applications. Visit my webpage at http://www.scientificpython.net/

Professional Interests:
PDE Constrained optimization, quantum mechanics, numerical methods

 

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Files Posted by Greg View all
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  • 42
Updated   File Tags Downloads
(last 30 days) 		Comments Rating
19 Apr 2006 Quadrature rules for spherical volume integrals Computes weights and nodes for numerically solving spherical volume integrals. Author: Greg von Winckel volume, gauss, integration, quadrature, integral, spherical 9 2
  • 5.0
5.0 | 2 ratings
27 Dec 2005 n-dimensional simplex quadrature % Construct Gauss points and weights for a n-dimensional simplex Author: Greg von Winckel integration, guass quadature, simplex, interval, triangle, tetrahedron 13 4
  • 5.0
5.0 | 4 ratings
21 Dec 2005 Gaussian Quadrature for Triangles Compute Gauss nodes and weights for a triangle Author: Greg von Winckel triangle, gauss, triangular, integration, quadrature, cubature 20 11
  • 4.33333
4.3 | 9 ratings
21 Dec 2005 Gauss Quadrature for Tetrahedra Compute Gauss weights and nodes for a specied tetrahedron Author: Greg von Winckel integration, gauss quadrature, tetrahedron, tetrahedra, 3d, finite 11 2
  • 5.0
5.0 | 2 ratings
11 Nov 2005 Summed Newton-Cotes Rules 2-11 Point Summed Newton-Cotes Rules Author: Greg von Winckel integration, numerical, summed newtoncotes, uniform, grid 19 2
Comments and Ratings on Greg's Files View all
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  • 137
Updated File Comment by Comments Rating
11 May 2012 Legendre-Gauss Quadrature Weights and Nodes Computes the Legendre-Gauss weights and nodes for solving definite integrals. Author: Greg von Winckel u

very good, thanks
26 Apr 2012 Legende-Gauss-Lobatto nodes and weights Computes the Legendre-Gauss-Lobatto weights, nodes and vandermonde matrix. Author: Greg von Winckel Susam

I guess line 24 should be,

x=-cos(pi*(0:N)/N)' instead of x=cos(pi*(0:N)/N)'

There is a sign missing.
04 Apr 2012 Legendre-Gauss Quadrature Weights and Nodes Computes the Legendre-Gauss weights and nodes for solving definite integrals. Author: Greg von Winckel Andrea

very handy, thanks!!
01 Apr 2012 Gaussian Quadrature for Triangles Compute Gauss nodes and weights for a triangle Author: Greg von Winckel sfilop
27 Mar 2012 Legendre-Gauss Quadrature Weights and Nodes Computes the Legendre-Gauss weights and nodes for solving definite integrals. Author: Greg von Winckel Bergman, David

This is a very useful script. Thanks for sharing. I noticed that you are storing a lot of memory for items you don't need. As an example you never use the full Lp, set to zeros(N1,N2). Only the highest order is needed. If I comment out all but the last occurrence of Lp the script generates the same results. You could do the same for L(N1,N2) since you only need 3 values of k at any step in the calculation. Just a thought.

Top Tags Applied by Greg
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approximation, interpolation, integration, polynomials, numerical
Files Tagged by Greg View all
  • 1 - 5 of
  • 42
Updated   File Tags Downloads
(last 30 days) 		Comments Rating
19 Apr 2006 Quadrature rules for spherical volume integrals Computes weights and nodes for numerically solving spherical volume integrals. Author: Greg von Winckel volume, gauss, integration, quadrature, integral, spherical 9 2
  • 5.0
5.0 | 2 ratings
27 Dec 2005 n-dimensional simplex quadrature % Construct Gauss points and weights for a n-dimensional simplex Author: Greg von Winckel integration, guass quadature, simplex, interval, triangle, tetrahedron 13 4
  • 5.0
5.0 | 4 ratings
21 Dec 2005 Gaussian Quadrature for Triangles Compute Gauss nodes and weights for a triangle Author: Greg von Winckel triangle, gauss, triangular, integration, quadrature, cubature 20 11
  • 4.33333
4.3 | 9 ratings
21 Dec 2005 Gauss Quadrature for Tetrahedra Compute Gauss weights and nodes for a specied tetrahedron Author: Greg von Winckel integration, gauss quadrature, tetrahedron, tetrahedra, 3d, finite 11 2
  • 5.0
5.0 | 2 ratings
11 Nov 2005 Summed Newton-Cotes Rules 2-11 Point Summed Newton-Cotes Rules Author: Greg von Winckel integration, numerical, summed newtoncotes, uniform, grid 19 2

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