octave_integrals


octave_integrals, an Octave code which returns the exact value of the integral of any monomial over the surface or interior of some geometric object, including a line, quadrilateral, box, circle, disk, sphere, ball and others.

Licensing:

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

Languages:

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

Related Data and Programs:

annulus_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of an annulus centered at the origin.

ball_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit ball in 3D.

circle_integrals, an Octave code which returns the exact value of the integral of any monomial over the surface of the unit circle in 2D.

cube_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit cube in 3D.

disk_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of a disk of radius R centered at the origin.

disk01_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit disk in 2D.

hexagon_integrals, an Octave code which returns the exact value of the integral of a monomial over the interior of a hexagon in 2D.

hyperball_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit hyperball in M dimensions.

hypercube_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit hypercube in M dimensions.

hypersphere_integrals, an Octave code which returns the exact value of the integral of any monomial over the surface of the unit hypersphere in M dimensions.

line_integrals, an Octave code which returns the exact value of the integral of any monomial over the length of the unit line in 1D.

polygon_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of a polygon in 2D.

pyramid_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit pyramid in 3D.

simplex_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.

sphere_integrals, an Octave code which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3D.

square_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit square in 2D.

tetrahedron_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3D.

triangle_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of an arbitrary triangle in 2d.

triangle01_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit triangle in 2D.

wedge_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit wedge in 3D.


Last revised on 19 September 2024.