Rational Chebyshev spectral transform for the dynamics of broad-area laser diodes

DOI10.1016/j.jcp.2015.06.027zbMath1349.78109arXiv1407.0542OpenAlexW832480850MaRDI QIDQ2374680

J. Javaloyes, Susanne Balle

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0542

zbMATH Keywords

numerical methodsspatio-temporal dynamicsspectral transformationsdelayed equationsbroad area lasers

Mathematics Subject Classification ID

Composite media; random media in optics and electromagnetic theory (78A48) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Uses Software

• FFTW
• Freetwm

Cites Work

• Unnamed Item
• Exponential time differencing for stiff systems
• The eigenvalues of Hermite and rational spectral differentiation matrices
• Application of rational Chebyshev polynomials to optical problems
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Comments on "Method of flow graph simplification for the 16-point discrete Fourier Transform"
• A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space
• An Algorithm for the Machine Calculation of Complex Fourier Series

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