gumerov-expansion-coefficients 1.1.0

Multiple translation and rotation coefficients for the 3D Helmholtz Equation

Gumerov Expansion Coefficients

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Documentation: https://gumerov-expansion-coefficients.readthedocs.io

Source Code: https://github.com/34j/gumerov-expansion-coefficients

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Multiple translation and rotation coefficients for the 3D Helmholtz Equation

Installation

Install this via pip (or your favourite package manager):

pip install gumerov-expansion-coefficients

Usage

from gumerov_expansion_coefficients import translational_coefficients

translational_coefficients(
    k * r, theta, phi, same=True, n_end=10
)  # (R|R) coefficients from 0 to 9 th degree
translational_coefficients(
    k * r, theta, phi, same=False, n_end=10
)  # (S|R) coefficients from 0 to 9 th degree

References

• Gumerov, N. A., & Duraiswami, R. (2004). Recursions for the Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation. SIAM Journal on Scientific Computing, 25(4), 1344–1381. https://doi.org/10.1137/S1064827501399705

Contributors ✨

Thanks goes to these wonderful people (emoji key):

This project follows the all-contributors specification. Contributions of any kind welcome!

Credits

This package was created with Copier and the browniebroke/pypackage-template project template.