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

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.

Corrected

References in corpus (3)

• Efficient computation of Laguerre polynomials
• The Laguerre finite difference one-way equation solver
• The stabilization of high-order multistep schemes for the Laguerre one-way wave equation solver