Title :
Argument-Recursive Computation of Legendre Polynomials with Applications in Computational Electromagnetics
Author :
Adam, John D. ; Klinkenbusch, L.
Author_Institution :
Comput. Electromagn. Group, Kiel Univ.
Abstract :
We introduce an efficient t-recursive algorithm to compute Legendre polynomials Pn(t) and their derivatives Pn(t) on the interval (0, 1) with fixed order nisinN. The numerical properties are discussed and related examples in Computational Electromagnetics are given. In particular, this method is well suited to enhance a recently proposed spherical-multipole based time-domain near-to-far-field transformation algorithm
Keywords :
Legendre polynomials; computational electromagnetics; time-domain analysis; transforms; Legendre polynomials; argument-recursive computation; computational electromagnetics; spherical multipole; t-recursive algorithm; time-domain near-to-far-field transformation algorithm; Algorithm design and analysis; Computational efficiency; Computational electromagnetics; Differential equations; Finite difference methods; Linear systems; Mathematics; Numerical stability; Polynomials; Time domain analysis;
Conference_Titel :
Antennas and Propagation Society International Symposium 2006, IEEE
Conference_Location :
Albuquerque, NM
Print_ISBN :
1-4244-0123-2
DOI :
10.1109/APS.2006.1711481
