Computation of the Complex Probability Function
Abstract
The complex probability function is important in many areas of physics and many techniques have been developed in an attempt to compute it for some z quickly and e ciently. Most prominent are the methods that use GaussHermite quadrature, which uses the roots of the n ^{th} degree Hermite polynomial and corresponding weights to approximate the complex probability function. This document serves as an overview and discussion of the use, shortcomings, and potential improvements on the GaussHermite quadrature for the complex probability function.
 Authors:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1375900
 Report Number(s):
 LAUR1727554
 DOE Contract Number:
 AC5206NA25396
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; Complex Probability Function Gauss Hermite Quadrature
Citation Formats
Trainer, Amelia Jo, and Ledwith, Patrick John. Computation of the Complex Probability Function. United States: N. p., 2017.
Web. doi:10.2172/1375900.
Trainer, Amelia Jo, & Ledwith, Patrick John. Computation of the Complex Probability Function. United States. doi:10.2172/1375900.
Trainer, Amelia Jo, and Ledwith, Patrick John. Tue .
"Computation of the Complex Probability Function". United States.
doi:10.2172/1375900. https://www.osti.gov/servlets/purl/1375900.
@article{osti_1375900,
title = {Computation of the Complex Probability Function},
author = {Trainer, Amelia Jo and Ledwith, Patrick John},
abstractNote = {The complex probability function is important in many areas of physics and many techniques have been developed in an attempt to compute it for some z quickly and e ciently. Most prominent are the methods that use GaussHermite quadrature, which uses the roots of the nth degree Hermite polynomial and corresponding weights to approximate the complex probability function. This document serves as an overview and discussion of the use, shortcomings, and potential improvements on the GaussHermite quadrature for the complex probability function.},
doi = {10.2172/1375900},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Aug 22 00:00:00 EDT 2017},
month = {Tue Aug 22 00:00:00 EDT 2017}
}
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