jburkardt-python

get python code

wget -r -np -l 0 http://people.sc.fsu.edu/~jburkardt/py_src/
wget -r -np -l 0 http://people.sc.fsu.edu/~jburkardt/fenics_src/
wget -r -np -l 0 http://people.sc.fsu.edu/~jburkardt/data/

http://ossanworld.com/cfdbooks/cfdcodes.html

Interpolate

• barycentric_interp_1d
• chebyshev_interp_1d
• lagrange_interp_1d
• nearest_interp_1d
• newton_interp_1d
• pwl_interp_1d
• pwl_interp_2d
• rbf_interp_1d
• rbf_interp_2d
• shepard_interp_1d
• test_interp
• test_interp_1d
• test_interp_2d
• triangle_interpolate
• vandermonde_interp_1d

Monte Calro

• annulus_monte_carlo
• ball_monte_carlo
• circle_monte_carlo
• cube_monte_carlo
• disk01_monte_carlo
• disk01_quarter_monte_carlo
• disk_monte_carlo
• ellipse_monte_carlo
• ellipsoid_monte_carlo
• hyperball_monte_carlo
• hypercube_monte_carlo
• hypersphere_monte_carlo
• line_monte_carlo
• polygon_monte_carlo
• pyramid_monte_carlo
• simplex_monte_carlo
• sphere_monte_carlo
• square_monte_carlo
• tetrahedron01_monte_carlo
• triangle01_monte_carlo
• triangle_monte_carlo
• wedge_monte_carlo

Integral

• ball_integrals
• circle_integrals
• cube_integrals
• disk01_integrals
• elliptic_integral
• hyperball_integrals
• hypercube_integrals
• hypersphere_integrals
• line_integrals
• polygon_integrals
• pyramid_integrals
• simplex_integrals
• sphere_integrals
• square_integrals
• tetrahedron_integrals
• triangle01_integrals
• triangle_integrals
• wedge_integrals

Probability Density Functions

prob

For a discrete variable X, PDF(X) is the probability that the value X will occur
for a continuous variable, PDF(X) is the probability density of X,
the probability of a value between $X$ and $X+dX$ is $PDF(X) * dX$

CDF - Cumulative Density Functions

• cardioid
  • cardioid_cdf_test
  • cardioid_sample_test
  • cardioid_cdf
  • cardioid_cdf_inv
  • cardioid_pdf

$$ pdf(A, Bx) = \frac{1}{2 \pi} (1 + 2B \cos(X-A)) $$

Grid

• ball_grid
• circle_arc_grid
• cube_grid
• disk_grid
• ellipse_grid
• ellipsoid_grid
• grid
• hypercube_grid
• line_grid
• polygon_grid
• pyramid_grid
• simplex_grid
• sphere_fibonacci_grid
• sphere_llq_grid
• sphere_llt_grid
• square_grid
• tetrahedron_grid
• triangle_grid
• wedge_grid

toms

• toms097
  • All Pairs Shortest Distance, Floyd's Algorithm.
• toms112
  • determines whether a point is inside a polygon.
• toms178
  • Minimization by Hooke-Jeeves Direct Search
• toms179
  • Modified Beta Function
• toms243
  • evaluates the logarithm of a complex value, by David Collens.
• toms515
  • subsets of an N set
• toms577
  • Carlson's Elliptic Integrals
  • functions RC, RD, RF and RJ.
• toms655
  • Weights for Interpolatory Quadrature
• toms743
  • Evaluation of Lambert's W function.

toms743 Lambert's W function

omega function or product logarithm the branches of the inverse relation of function $f(w)=w e^w$, where w is complex

for each integer k there is one branch, $$W_0$$ is principle branch.

$w e^w = z$

$$ W_0 (x) = \Sigma_{n=1}^{\infin} \frac{(-1)^{n-1}}{n!} x^n $$