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Volume 3, Issue 2
Vector Addition Theorem and Its Diagonalization

W. C. Chew

Commun. Comput. Phys., 3 (2008), pp. 330-341.

Published online: 2008-03

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  • Abstract

The conventional vector addition theorem is written in a compact notation. Then a new and succinct derivation of the vector addition theorem is presented that is as close to the derivation of the scalar addition theorem. Newly derived expressions in this new derivation are used to diagonalize the vector addition theorem. The diagonal form of the vector addition theorem is important in the design of fast algorithms for computational wave physics such as computational electromagnetics and computational acoustics.

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@Article{CiCP-3-330, author = {W. C. Chew}, title = {Vector Addition Theorem and Its Diagonalization}, journal = {Communications in Computational Physics}, year = {2008}, volume = {3}, number = {2}, pages = {330--341}, abstract = {

The conventional vector addition theorem is written in a compact notation. Then a new and succinct derivation of the vector addition theorem is presented that is as close to the derivation of the scalar addition theorem. Newly derived expressions in this new derivation are used to diagonalize the vector addition theorem. The diagonal form of the vector addition theorem is important in the design of fast algorithms for computational wave physics such as computational electromagnetics and computational acoustics.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7856.html} }
TY - JOUR T1 - Vector Addition Theorem and Its Diagonalization AU - W. C. Chew JO - Communications in Computational Physics VL - 2 SP - 330 EP - 341 PY - 2008 DA - 2008/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7856.html KW - AB -

The conventional vector addition theorem is written in a compact notation. Then a new and succinct derivation of the vector addition theorem is presented that is as close to the derivation of the scalar addition theorem. Newly derived expressions in this new derivation are used to diagonalize the vector addition theorem. The diagonal form of the vector addition theorem is important in the design of fast algorithms for computational wave physics such as computational electromagnetics and computational acoustics.

W. C. Chew. (2008). Vector Addition Theorem and Its Diagonalization. Communications in Computational Physics. 3 (2). 330-341. doi:
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