diff --git a/books/bookvolbib.pamphlet b/books/bookvolbib.pamphlet index ddab7df..37d4fe0 100644 --- a/books/bookvolbib.pamphlet +++ b/books/bookvolbib.pamphlet @@ -109,7 +109,7 @@ IT 255, Oct 1993 ACM SIGPLAN Notices, 30(2) pp33-41 February 1995 CODEN SINODQ ISSN 0362-1340\\ \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html| -\bibitem[Bronstein 87]{Mon87} Bronstein, Manuel\\ +\bibitem[Bronstein 87]{Bro87} Bronstein, Manuel\\ ``Integration of Algebraic and Mixed Functions''\\ in [Wit87], p18 @@ -3058,6 +3058,27 @@ Math. Tables Aids Comput. 10 91--96. (1956) Technical Report ARL-TR-1758, U.S. Army Ballistic Research Laboratory,\\ Aberdeen Proving Ground, MD, September 1998 +\begin{adjustwidth}{2.5em}{0pt} +A four-parameter fit is developed for the class of integrals known as +the exponential integral (real branch). Unlike other fits that are +piecewise in nature, the current fit to the exponential integral is +valid over the complete domain of the function (compact) and is +everywhere accurate to within $\pm 0.0052\%$ when evaluating the first +exponential integral, $E_1$. To achieve this result, a methodology +that makes use of analytically known limiting behaviors at either +extreme of the domain is employed. Because the fit accurately captures +limiting behaviors of the $E_1$ function, more accuracy is retained +when the fit is used as part of the scheme to evaluate higher-order +exponential integrals, $E_n$, as compared with the use of brute-force +fits to $E_1$, which fail to accurately model limiting +behaviors. Furthermore, because the fit is compact, no special +accommodations are required (as in the case of spliced piecewise fits) +to smooth the value, slope, and higher derivatives in the transition +region between two piecewise domains. The general methodology employed +to develop this fit is outlined, since it may be used for other +problems as well. +\end{adjustwidth} + \bibitem[Segletes 09]{Se09} Segletes, S.B.\\ ``Improved fits for $E_1(x)$ {\sl vis-\'a-vis} those presented in ARL-TR-1758\\ Technical Report ARL-TR-1758, U.S. Army Ballistic Research Laboratory,\\ diff --git a/changelog b/changelog index 8d83184..f0e7f8e 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,5 @@ +20140607 tpd src/axiom-website/patches.html 20140607.01.tpd.patch +20140607 tpd books/bookvolbib add abstract for Segletes 98, fix duplicate 20140606 tpd src/axiom-website/patches.html 20140606.04.tpd.patch 20140606 tpd books/bookvolbib add special functions / exponential integral 20140606 tpd src/axiom-website/patches.html 20140606.03.tpd.patch diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 34973c7..af42a20 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -4394,6 +4394,8 @@ books/Makefile remove style and def files from final distro book/*.txt email cleanup 20140606.04.tpd.patch books/bookvolbib add special functions / exponential integral +20140607.01.tpd.patch +books/bookvolbib add abstract for Segletes 98, fix duplicate