/[escript]/trunk/doc/cookbook/cookbook.tex
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Revision 2957 - (hide annotations)
Tue Mar 2 01:28:19 2010 UTC (9 years, 9 months ago) by artak
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1 ahallam 2411
2     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3     %
4 jfenwick 2881 % Copyright (c) 2003-2010 by University of Queensland
5 ahallam 2411 % Earth Systems Science Computational Center (ESSCC)
6     % http://www.uq.edu.au/esscc
7     %
8     % Primary Business: Queensland, Australia
9     % Licensed under the Open Software License version 3.0
10     % http://www.opensource.org/licenses/osl-3.0.php
11     %
12     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
13    
14     \documentclass{manual}
15 ahallam 2495 %%% Table of contents to list down to subsections and no further
16     \setcounter{tocdepth}{3}
17     %%% Number down to subsubsections only
18     \setcounter{secnumdepth}{3}
19 ahallam 2411 % grab the handy definitions and \usepackage statements etc
20     \input{cookbook_defs}
21     % title, author, etc stuff
22 ahallam 2775 \title{The \textit{escript} COOKBOOK}
23 ahallam 2411
24    
25 jfenwick 2944
26 gross 2861 \author{Antony Hallam, Lutz Gross, et. al.}
27 ahallam 2411 \authoraddress{
28     Earth Systems Science Computational Centre (ESSCC) \\
29     School of Earth Sciences \\
30     The University of Queensland \\
31     Brisbane, Australia \\
32     Email: \email{esys@esscc.uq.edu.au}
33     }
34     \date{\today}
35 jfenwick 2923 \release{development}
36     \setreleaseinfo{\\(r\RepVersion)}
37 ahallam 2411 \setshortversion{}
38    
39     \makeindex
40    
41     \begin{document}
42    
43     \maketitle
44 gross 2605
45 jfenwick 2944 % This must come after maketitle or you'll get latex in the pdf title
46     \ifpdf
47     \pdfinfo {
48     /Author (Antony Hallam and Lutz Gross)
49     /Title (escript COOKBOOK)
50     /Keywords (escript, PDEs)
51     }
52     \fi
53    
54 ahallam 2634 \input{../user/copyrights}
55 gross 2605
56     \begin{abstract}
57 artak 2957 \esc is a \pyt based environment that has been developed to solve complex mathematical models, particularly coupled, non-linear and time-dependent partial differential equations. The intention of this cookbook is to introduce new users to \esc and provide a set of examples which demonstrate the major concepts and can be adapted to new problems. Although most of the examples in this cookbook are focused on the disciplines of geophysics and geology, they provide solid introduction to \esc and its capabilities.
58 gross 2605 \end{abstract}
59 ahallam 2411 \tableofcontents
60    
61 ahallam 2495 \newpage
62    
63 ahallam 2411 \input{intro}
64    
65 gross 2605
66 ahallam 2411 \chapter{Getting Started with Heat Diffusion}
67 ahallam 2634 \label{CHAP HEAT DIFF}
68 artak 2957 We start by examining a simple one dimensional heat diffusion equation. This problem provides a good starting example to build our knowledge of \esc and demonstrate how to solve simple partial differential equations (PDEs)\footnote{Wikipedia provides an excellent and comprehensive introduction to \textit{Partial Differential Equations} \url{http://en.wikipedia.org/wiki/Partial_differential_equation}, however their relevance to \esc and implementation should become much clearer as we develop our understanding further into the cookbook.}
69 gross 2949 \input{example01}
70     \input{example02}
71 ahallam 2634
72 gross 2931 \chapter{The Second Dimension}
73     \label{CHAP HEAT 2a}
74 gross 2950 \input{example03}
75 gross 2931
76    
77     \chapter{Complex Geometries}
78 ahallam 2634 \label{CHAP HEAT 2}
79 ahallam 2597 \input{steadystateheatdiff}
80 ahallam 2411
81     % Moving into 2D and 3D wave propagations in next chapters.
82 gross 2948 % not part of release 3.1
83 gross 2931 % \chapter{Seismic Wave Propagation}
84     % \input{twodswp001}
85 ahallam 2411
86 gross 2905 \include{einsteinETA}
87 ahallam 2411 \end{document}

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