From 53c3b1227a2433eac5a3ab32a6937607d5cd8e3d Mon Sep 17 00:00:00 2001 From: Nao Pross Date: Sun, 28 Aug 2022 14:20:31 +0200 Subject: kugel: Re-add usecase reference, minor corrections --- buch/papers/kugel/references.bib | 16 ++++++++++++++++ buch/papers/kugel/spherical-harmonics.tex | 21 +++++++++++++++------ 2 files changed, 31 insertions(+), 6 deletions(-) (limited to 'buch/papers') diff --git a/buch/papers/kugel/references.bib b/buch/papers/kugel/references.bib index e13b67c..7603f2f 100644 --- a/buch/papers/kugel/references.bib +++ b/buch/papers/kugel/references.bib @@ -275,4 +275,20 @@ This photo was taken during studies that resulted in the publication: Hope, C, S urldate = {2022-08-27}, date = {2022-04-27}, doi = {10.5281/ZENODO.6497293}, +} + +@article{davari_new_2013, + title = {New Implementation of Legendre Polynomials for Solving Partial Differential Equations}, + volume = {04}, + issn = {2152-7385, 2152-7393}, + url = {http://www.scirp.org/journal/doi.aspx?DOI=10.4236/am.2013.412224}, + doi = {10.4236/am.2013.412224}, + pages = {1647--1650}, + number = {12}, + journaltitle = {Applied Mathematics}, + shortjournal = {{AM}}, + author = {Davari, Ali and Ahmadi, Abozar}, + urldate = {2022-08-28}, + date = {2013}, + file = {Full Text:/Users/npross/Zotero/storage/A8XM56WK/Davari and Ahmadi - 2013 - New Implementation of Legendre Polynomials for Sol.pdf:application/pdf}, } \ No newline at end of file diff --git a/buch/papers/kugel/spherical-harmonics.tex b/buch/papers/kugel/spherical-harmonics.tex index 02d93e9..0fb6557 100644 --- a/buch/papers/kugel/spherical-harmonics.tex +++ b/buch/papers/kugel/spherical-harmonics.tex @@ -190,7 +190,6 @@ require a dedicated section of its own. \begin{figure} \centering - % \kugelplaceholderfig{.8\textwidth}{5cm} \includegraphics[ scale = 1.2, trim = 0 40 0 0, clip, @@ -327,7 +326,14 @@ obtain the \emph{associated Legendre functions}. \end{equation} are known as Ferrers or associated Legendre functions. \end{definition} -The constraint $|m|