The problem of numerical precision in spectral line shapes calculations

23rd International Conference on Spectral Line Shapes

Ablewski, P.^1 ; Wcislo, P.^1 ; Ciurylo, R.^1

Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toru, Grudziadzka 5, Toru

87-100, Poland^1

关键词: Collisional;    Error function;    Iterative approach;    Numerical precision;    Numerical problems;    Relaxation equations;    Spectral line shape;    Voigt profile;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/810/1/012043/pdf
DOI  :  10.1088/1742-6596/810/1/012043

来源: IOP

【 摘 要 】

Spectral line shapes can be described by the transport-relaxation equation (TRE). When ab initio collisional operator is incorporated, the TRE needs to be solved numericaly. We report a pure numerical problems encountered during tests of the iterative approach to solving the TRE. As a reference we have used Voigt profile, which can be easily calculated analytically with error function, as well as numerically by solving TRE with simple collisional operator. Our studies lead us to the conclusions about impact of numerical precion and matrix operators dimensions on the accuracy of the calculations.