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Using Computer Algebra to Explore Sound-Wave Propagation in Spherical Cavities
March/April 2000 (vol. 2 no. 2)
pp. 84-94
ASCII Text
x 
 
Stanley P. Lipshitz, Renato Portugal, John Vanderkooy, "Using Computer Algebra to Explore Sound-Wave Propagation in Spherical Cavities," Computing in Science and Engineering, vol. 2, no. 2, pp. 84-94, March/April, 2000.
 
 
BibTex
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@article{ 10.1109/MCSE.2000.10012,
author = {Stanley P. Lipshitz and Renato Portugal and John Vanderkooy},
title = {Using Computer Algebra to Explore Sound-Wave Propagation in Spherical Cavities},
journal ={Computing in Science and Engineering},
volume = {2},
number = {2},
issn = {1521-9615},
year = {2000},
pages = {84-94},
doi = {http://doi.ieeecomputersociety.org/10.1109/MCSE.2000.10012},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - MGZN
JO - Computing in Science and Engineering
TI - Using Computer Algebra to Explore Sound-Wave Propagation in Spherical Cavities
IS - 2
SN - 1521-9615
SP84
EP94
EPD - 84-94
A1 - Stanley P. Lipshitz,
A1 - Renato Portugal,
A1 - John Vanderkooy,
PY - 2000
VL - 2
JA - Computing in Science and Engineering
ER -
 
This article shows how we have used the Maple computer algebra system to solve a classical problem in mathematical physics-that of analyzing sound-wave propagation in spherical cavities using the Fourier method to solve the wave equation. Our approach lets users easily generate and visualize solutions starting from various initial conditions for this conceptually difficult problem. To illustrate our approach, we perform a careful analysis of the propagation and reflection of spherically symmetrical sound waves for a specific initial condition.
Citation:
Stanley P. Lipshitz, Renato Portugal, John Vanderkooy, "Using Computer Algebra to Explore Sound-Wave Propagation in Spherical Cavities," Computing in Science and Engineering, vol. 2, no. 2, pp. 84-94, March-April 2000, doi:10.1109/MCSE.2000.10012
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