legendre_product_display

legendre_product_display, a MATLAB code which displays the points in a 2D Gauss-Legendre product quadrature rule.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

legendre_product_display is available in a MATLAB version and an Octave version.

Related Data and Programs:

legendre_product_display_test

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Reference:

1. Philip Davis, Philip Rabinowitz,
   Methods of Numerical Integration,
   Second Edition,
   Dover, 2007,
   ISBN: 0486453391,
   LC: QA299.3.D28.
2. Lloyd Trefethen,
   Is Gauss Quadrature Better than Clenshaw-Curtis?

Source Code:

• comp_next.m computes the compositions of the integer N into K parts.
• compnz_next.m computes the compositions of the integer N into K nonzero parts.
• gl_grid.m returns a multidimensional Gauss Legendre grid in which any combination of 1D rules may be specified.
• gl_grid_display.m displays a multidimensional Gauss Legendre grid.
• gl_grid_square_display.m displays a 2D "square" Gauss Legendre grid.
• gl_grid_square.m returns a multidimensional Gauss Legendre grid in which all 1D rules have the same order.
• gl_grids_minmax.m computes all Gauss Legendre grids whose orders sum to Q between QMIN and QMAX.
• gl_grids_minmax_display.m displays all Gauss Legendre grids whose orders sum to Q between QMIN and QMAX.
• gl_grids_minmax_size.m computes the total size of all Gauss Legendre grids whose orders sum to Q between QMIN and QMAX.
• gl_level_to_order.m converts a GL level to a GL order.
• gl_levels_minmax.m computes all Gauss Legendre grids whose orders sum to LEVEL between LEVEL_MIN and LEVEL_MAX.
• gl_levels_minmax_display.m displays all Gauss Legendre grids whose orders sum to LEVEL between LEVEL_MIN and LEVEL_MAX.
• gl_levels_minmax_size.m computes the total size of all Gauss Legendre grids whose orders sum to LEVEL between LEVEL_MIN and LEVEL_MAX.
• i4_sign.m returns the sign of an integer.
• legendre_compute.m computes the points and weights of a Gauss-Legendre quadrature rule.
• tuple_next2.m computes the next element of an integer tuple space.
• vec_next.m computes the elements of a product space.