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arXiv · 1809.06794

Generating Laguerre expansion coefficients by solving a one-dimensional transport equation

Andrew V. Terekhov
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Abstract

Spectral methods based on integral transforms may be efficiently used to solve differential equations in some special cases. This paper considers a different approach in which algorithms are proposed to calculate integral Laguerre transform by solving a one-dimensional transport equation. In contrast to the direct calculation of improper integrals of rapidly oscillating functions, these procedures make it possible to calculate the expansion coefficients of a Laguerre series expansion with better stability, higher accuracy, and less computational burden.

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Andrew V. Terekhov. 2018-09-18. Generating Laguerre expansion coefficients by solving a one-dimensional transport equation. https://doi.org/10.1007/s11075-021-01115-8

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