# Contents of /trunk/doc/cookbook/cookbook.tex

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Mon Mar 1 01:31:59 2010 UTC (9 years, 6 months ago) by artak
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First corrections: NEEDS MORE AND MORE...

 1 2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 3 % 4 % Copyright (c) 2003-2010 by University of Queensland 5 % Earth Systems Science Computational Center (ESSCC) 6 7 % 8 % Primary Business: Queensland, Australia 9 % Licensed under the Open Software License version 3.0 10 11 % 12 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 13 14 \documentclass{manual} 15 %%% 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 % grab the handy definitions and \usepackage statements etc 20 \input{cookbook_defs} 21 % title, author, etc stuff 22 \title{The \textit{escript} COOKBOOK} 23 24 25 26 \author{Antony Hallam, Lutz Gross, et. al.} 27 \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 \release{development} 36 \setreleaseinfo{\\(r\RepVersion)} 37 \setshortversion{} 38 39 \makeindex 40 41 \begin{document} 42 43 \maketitle 44 45 % 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 \input{../user/copyrights} 55 56 \begin{abstract} 57 \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 give new \esc users a comprehensive introduction, and to create a fundamental knowledge base and example set, that can be used as templates or references for new problems. Although most of the examples in this cookbook are focused on the disciplines of geophysics and geology they all provide solid introduction to \esc and its capabilities. 58 \end{abstract} 59 \tableofcontents 60 61 \newpage 62 63 \input{intro} 64 65 66 \chapter{Getting Started with Heat Diffusion} 67 \label{CHAP HEAT DIFF} 68 We start by examining a simple one dimensional heat diffusion equation. This problem provides good starting example to build our knowledge on \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 \input{example01} 70 \input{example02} 71 72 \chapter{The Second Dimension} 73 \label{CHAP HEAT 2a} 74 \input{example03} 75 76 77 \chapter{Complex Geometries} 78 \label{CHAP HEAT 2} 79 \input{steadystateheatdiff} 80 81 % Moving into 2D and 3D wave propagations in next chapters. 82 % not part of release 3.1 83 % \chapter{Seismic Wave Propagation} 84 % \input{twodswp001} 85 86 \include{einsteinETA} 87 \end{document}