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Revision 2426 - (hide annotations)
Fri May 15 04:28:31 2009 UTC (10 years, 4 months ago) by ahallam
Original Path: trunk/doc/cookbook/TEXT/cookbook_defs.tex
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File size: 13627 byte(s)
Week 7: Work done on wave problem.
1 ahallam 2411
2     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3     %
4     % Copyright (c) 2003-2008 by University of Queensland
5     % 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    
15     \usepackage{subfigure}
16     \usepackage{epsfig}
17     \usepackage{graphicx,color}
18     \usepackage{makeidx} % handle the index properly
19     \usepackage{xspace} % handle spaces after commands more nicely
20     % use the ams math stuff, as it makes the maths easier to code, and
21     % nicer output than the standard LaTeX stuff
22     \usepackage{amsmath,amsfonts,amssymb} % this is handy for mathematicians and physicists
23     % see http://www.ams.org/tex/amslatex.html
24     \usepackage{alltt} % handy verbatim stuff
25    
26    
27     %Tony's Commands
28     \newcommand{\editor}[1] {\textit{EDITORIAL: {#1}}}
29     %\newcommand{\eqref}[1] {(\ref{#1})}
30     \newcommand{\esc}{\module{escript}\xspace}
31 ahallam 2426 \newcommand{\fileex}[1]{\module{\textbackslash examples\textbackslash {#1}}\xspace}
32 ahallam 2411
33     % % define some handy commands for escript stuff
34     % \newcommand{\LINUX}{{\it Linux}\xspace}
35     % \newcommand{\WINDOWS}{{\it MS Windows}\xspace}
36     % \newcommand{\PYTHON}{{\it python}\xspace}
37     % % \newcommand{\netCDF}{{\it netCDF}\cite{NETCDF}\index{netCDF} \xspace}
38     % \newcommand{\netCDF}{{\it netCDF}\index{netCDF}\xspace}
39     % \newcommand{\escript}{\module{esys.escript}\xspace}
40     % \newcommand{\finley}{\module{esys.finley}\xspace}
41     % \newcommand{\esys}{\module{esys}\xspace}
42     % \newcommand{\pyvisi}{\module{esys.pyvisi}\xspace}
43     % \newcommand{\pycad}{\module{esys.pycad}\xspace}
44     % \newcommand{\gmsh}{\module{esys.pycad.gmsh}\xspace}
45     % \newcommand{\gmshextern}{{\it Gmsh}\cite{GMSH}\index{Gmsh} \xspace}
46     % \newcommand{\env}[1]{\textbf{\mbox{#1}}\index{Environment!#1}}
47     % % \newcommand{\MPI}{{\it MPI}\xspace\index{Message Passing Interface!MPI}\cite{MPI}\xspace}
48     % % \newcommand{\OPENMP}{{\it OpenMP}\xspace\index{OpenMP!threading}\cite{OPENMP}\xspace}
49     % \newcommand{\MPI}{{\it MPI}\xspace\index{Message Passing Interface!MPI}\xspace}
50     % \newcommand{\OPENMP}{{\it OpenMP}\xspace\index{OpenMP!threading}\xspace}
51     % \newcommand{\linearPDEs}{\module{esys.escript.linearPDEs}\xspace}
52     % \newcommand{\LinearPDE}{\class{LinearPDE}\xspace}
53     % \newcommand{\timeseries}{\module{esys.timeseries}\xspace}
54     % \newcommand{\modelframe}{\module{esys.modelframe}\xspace}
55     % \newcommand{\pdetools}{\module{esys.pdetools}\xspace}
56     % \newcommand{\esysxml}{{\it esysxml}}
57     %
58     % \newcommand{\AdvectivePDE}{\class{AdvectivePDE}\xspace}
59     % \newcommand{\Poisson}{\class{Poisson}\xspace}
60     % \newcommand{\Helmholtz}{\class{Helmholtz}\xspace}
61     % \newcommand{\Lame}{\class{Lame}\xspace}
62     % \newcommand{\Data}{\class{Data}\xspace}
63     % \newcommand{\EmptyData}{empty \class{Data}\index{empty Data}\xspace}
64     % \newcommand{\Domain}{\class{Domain}\xspace}
65     % %\newcommand{\VTK}{{\it vtk} \cite{VTK}\index{visualization!vtk} \xspace}
66     % \newcommand{\GnuPlot}{{\it gnuplot} \cite{GNUPLOT}\index{visualization!gnuplot}\index{gnuplot}}
67     % \newcommand{\mayavi}{{\it mayavi}\index{visualization!mayavi}\index{mayavi}}
68     % \newcommand{\OpenDX}{{\it OpenDX} \cite{OPENDX}\xspace}
69     % \newcommand{\finleyelement}[1]{{\it #1}\index{finley!#1}}
70     % \newcommand{\False}{\constant{False}\xspace}
71     % \newcommand{\True}{\constant{True}\xspace}
72     % \newcommand{\PCG}{\constant{LinearPDE.PCG}\xspace\index{linear solver!PCG}\index{PCG}}
73     % \newcommand{\BiCGStab}{\constant{LinearPDE.BICGSTAB}\xspace\index{linear solver!BiCGStab}\index{BiCGStab}}
74     % \newcommand{\Direct}{\constant{LinearPDE.DIRECT}\xspace\index{linear solver!Direct}\index{Direct solver}}
75     % \newcommand{\GMRES}{\constant{LinearPDE.GMRES}\xspace\index{linear solver!GMRES}\index{GMRES}}
76     % \newcommand{\PRESTWENTY}{\constant{LinearPDE.PRES20}\xspace\index{linear solver!PRES20}\index{PRES20}}
77     % \newcommand{\JACOBI}{\constant{LinearPDE.JACOBI}\xspace\index{preconditioner!Jacobi}\index{Jacobi}}
78     % \newcommand{\ILU}{\constant{LinearPDE.ILU0}\xspace\index{preconditioner!ILU0}\index{ILU0}}
79     % \newcommand{\ILUT}{\constant{LinearPDE.ILUT}\xspace\index{preconditioner!ILUT}\index{ILUT}}
80     % \newcommand{\LUMPING}{\constant{LinearPDE.LUMPING}\xspace\index{linear solver!lumping}\index{lumping}}
81     % \newcommand{\NOREORDERING}{\constant{LinearPDE.NO\hackscore REORDERING}\xspace}
82     % \newcommand{\MINIMUMFILLIN}{\constant{LinearPDE.MINIMUM\hackscore FILL\hackscore IN}\xspace\index{linear solver!minimum fill-in ordering}\index{minimum fill-in ordering}}
83     % \newcommand{\NESTEDDESCTION}{\constant{LinearPDE.NESTED\hackscore DISSECTION}\xspace\index{linear solver!nested dissection ordering}\index{nested dissection}}
84     %
85     % \newcommand{\FunctionSpace}{\class{FunctionSpace}\xspace}
86     % \newcommand{\Operator}{\class{Operator}\xspace}
87     % \newcommand{\SolutionFS}{solution \class{FunctionSpace}\index{solution}\xspace}
88     % \newcommand{\ReducedSolutionFS}{reduced solution \class{FunctionSpace}\index{solution!reduced}\xspace}
89     % \newcommand{\FunctionOnBoundary}{boundary \class{FunctionSpace}\xspace}
90     % \newcommand{\Function}{general \class{FunctionSpace}\xspace}
91     % \newcommand{\FunctionOnContactZero}{contact \class{FunctionSpace} on side 0\xspace}
92     % \newcommand{\FunctionOnContactOne}{contact \class{FunctionSpace} on side 1\xspace}
93     % \newcommand{\ContinuousFunction}{continuous \class{FunctionSpace}\xspace}
94     % \newcommand{\RankOne}{{rank-1 \Data object}\xspace}
95     % \newcommand{\RankTwo}{{rank-2 \Data object}\xspace}
96     % \newcommand{\RankThree}{{rank-3 \Data object}\xspace}
97     % \newcommand{\RankFour}{{rank-4 \Data object}\xspace}
98     % \newcommand{\Tensor}{{tensor \Data object}\xspace}
99     % \newcommand{\Vector}{{vector \Data object}\xspace}
100     % \newcommand{\Scalar}{{scalar \Data object}\xspace}
101     % \newcommand{\DataSample}{{data sample}\index{data sample}\xspace}
102     % \newcommand{\DataSamplePoints}{{data sample points}\index{data sample!points}\xspace}
103     % \newcommand{\numarray}{\module{numarray}\xspace}
104     % \newcommand{\numarrayNA}{\module{numarray}.\class{NumArray}\xspace}
105     % \newcommand{\Shape}{shape\xspace\index{shape}}
106     % \newcommand{\Rank}{rank\xspace\index{shape}}
107     % \newcommand{\ExampleDirectory}{example directory\xspace}
108     % \newcommand{\ReferenceGuide}{\url{http://shake200.esscc.uq.edu.au/esys/docs.html}\xspace}
109     % \newcommand{\Point}{\class{Point} \xspace}
110     % \newcommand{\PropertySet}{\class{PropertySet} \xspace}
111     % \newcommand{\Design}{\class{Design} \xspace}
112     % \newcommand{\TagMap}{\class{TagMap} \xspace}
113     % \newcommand{\ManifoldOneD}{\class{Manifold1D} \xspace}
114     % \newcommand{\ManifoldTwoD}{\class{Manifold2D} \xspace}
115     % \newcommand{\ManifoldThreeD}{\class{Manifold3D} \xspace}
116     %
117     % % default width for figures
118     % \newcommand{\figwidth}{100mm}
119     % % commands useful in cross-referencing
120     % \newcommand {\Ref}[1] {Reference~\cite{#1}}
121     % \newcommand {\Sec}[1] {Section~\ref{#1}}
122     % \newcommand {\App}[1] {Appendix~\ref{#1}}
123     % \newcommand {\Chap}[1] {Chapter~\ref{#1}}
124     % \newcommand {\etal} {\emph{~et~al.}}
125     % \newcommand {\fig}[1] {Figure~\ref{#1}}
126     % \newcommand {\eqn}[1] {Equation~(\ref{#1})}
127     % \newcommand {\tab}[1] {Table~\ref{#1}}
128     %
129     % % this stops one figure taking up a whole page and lets more text onto
130     % % the one page when a figure exists
131     % \renewcommand{\floatpagefraction}{0.8} % Default = 0.5
132     %
133     % % improved version of caption handling
134     % \usepackage{ccaption}
135     % \captionnamefont{\scshape}
136     % \captionstyle{}
137     % \makeatletter
138     % \renewcommand{\fnum@figure}[1]{\quad\small\textsc{\figurename~\thefigure}:}
139     % \renewcommand{\@makecaption}[2]{%
140     % \vskip\abovecaptionskip
141     % \sbox\@tempboxa{#1: #2}%
142     % \ifdim \wd\@tempboxa >\hsize
143     % \def\baselinestretch{1}\@normalsize
144     % #1: #2\par
145     % \def\baselinestretch{1.5}\@normalsize
146     % \else
147     % \global \@minipagefalse
148     % \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
149     % \fi
150     % \vskip\belowcaptionskip}
151     % \makeatother
152     %
153     % % \usepackage{fancyvrb} % fancy verbatim stuff. Needed so code below goes
154     % %%% this code grabbed from the PyScript docs
155     % %%% pyscript.sourceforge.net
156 ahallam 2426
157     % --------------------------------------------------------------
158     % Code format within \Verb
159     % --------------------------------------------------------------
160    
161     % \definecolor{pycolor}{rgb}{0,0.4,0}
162    
163     %% \DefineVerbatimEnvironment{python}{Verbatim}
164     %% {frame=leftline,framerule=.5mm,rulecolor=\color{pycolor},
165     %% formatcom=\color{pycolor}\small,fontshape=rm}
166    
167     %\DefineShortVerb[formatcom=\color{dgreen}\small,fontshape=sl]{\|}
168    
169     % \RecustomVerbatimCommand{\Verb}{Verb}{formatcom=\color{pycolor}\small,fontshape=rm}
170    
171     %%% end of grabbed code
172    
173     % this is for when one uses pdflatex and therefore needs to load pdf
174     % figures into \includegraphics
175 ahallam 2411 % \ifpdf
176     % \DeclareGraphicsExtensions{.pdf} % this command defined in graphicx
177     % \pdfcompresslevel=9 % 0: no compression, 9: highest compression
178     % % or, set compress_level 9 in file pdftex.cfg
179     % \else
180     % \DeclareGraphicsExtensions{.eps}
181     % \fi
182     %
183     % % defines the colour for the background of code examples
184     % \definecolor{LightGrey}{gray}{0.9}
185     %
186     % % add the listings package to pretty print the code output
187     % \usepackage{listings}
188     %
189     %
190     % %Some colour definitions added to keep pdflatex happy
191     % %I make no claim that these values are particularly good
192     % \definecolor{Purple}{rgb}{0.7, 0, 0.6}
193     % \definecolor{Tan}{rgb}{0.5,0.5,0.5}
194     % \definecolor{BrickRed}{rgb}{0.7, 0.2, 0.2}
195     %
196     % % All the \color{x} used to be \color[named]{x}
197     % %end color defs
198     %
199     % \lstdefinestyle{myC++}{%
200     % %\lstset{%
201     % language=C++,
202     % showstringspaces=false,
203     % basicstyle=\small\ttfamily,
204     % commentstyle=\color{BrickRed}\ttfamily,
205     % keywordstyle=\color{Purple}\ttfamily,
206     % %identifierstyle=\color{Blue}\ttfamily,
207     % %functionstyle=\color{Blue}\ttfamily,
208     % %typestyle=\color{ForestGreen}\ttfamily,
209     % stringstyle=\color{Tan}\ttfamily,%
210     % morekeywords={,complex,}%
211     % frame=none,%
212     % backgroundcolor=\color{LightGrey}%
213     % }
214     %
215     % \lstdefinestyle{myMatlab}{%
216     % %\lstset{%
217     % language=Matlab,
218     % showstringspaces=false,
219     % basicstyle=\small\ttfamily,
220     % commentstyle=\color{BrickRed}\ttfamily,
221     % keywordstyle=\color{Purple}\ttfamily,
222     % %identifierstyle=\color{Blue}\ttfamily,
223     % %functionstyle=\color{Blue}\ttfamily,
224     % %typestyle=\color{ForestGreen}\ttfamily,
225     % stringstyle=\color{Tan}\ttfamily,%
226     % frame=none,%
227     % backgroundcolor=\color{LightGrey}%
228     % }
229     %
230     % \lstdefinestyle{myScilab}{%
231     % %\lstset{%
232     % language=Scilab,
233     % showstringspaces=false,
234     % basicstyle=\small\ttfamily,
235     % commentstyle=\color{BrickRed}\ttfamily,
236     % keywordstyle=\color{Purple}\ttfamily,
237     % %identifierstyle=\color{Blue}\ttfamily,
238     % %functionstyle=\color{Blue}\ttfamily,
239     % %typestyle=\color{ForestGreen}\ttfamily,
240     % stringstyle=\color{Tan}\ttfamily,%
241     % frame=none,%
242     % backgroundcolor=\color{LightGrey}%
243     % }
244     %
245     % \lstdefinestyle{myShell}{%
246     % %\lstset{%
247     % language=ksh,
248     % showstringspaces=false,
249     % basicstyle=\small\ttfamily,
250     % commentstyle=\color{Black}\ttfamily,
251     % keywordstyle=\color{Black}\ttfamily,
252     % %identifierstyle=\color{Blue}\ttfamily,
253     % %functionstyle=\color{Blue}\ttfamily,
254     % %typestyle=\color{ForestGreen}\ttfamily,
255     % stringstyle=\color{Black}\ttfamily,%
256     % frame=none,%
257     % backgroundcolor=\color{LightGrey}%
258     % }
259     %
260     % \lstdefinestyle{myPython}{%
261     % %\lstset{%
262     % language=python,
263     % showstringspaces=false,
264     % basicstyle=\small\ttfamily,
265     % commentstyle=\color{BrickRed}\ttfamily,
266     % keywordstyle=\color{Purple}\ttfamily,
267     % %identifierstyle=\color{Blue}\ttfamily,
268     % %functionstyle=\color{Blue}\ttfamily,
269     % %typestyle=\color{ForestGreen}\ttfamily,
270     % stringstyle=\color{Tan}\ttfamily,%
271     % frame=none,%
272     % %backgroundcolor=\color{LightGrey}%
273     % }
274     %
275     % \lstdefinestyle{myhtml}{%
276     % %\lstset{%
277     % language=xml,
278     % showstringspaces=false,
279     % basicstyle=\small\ttfamily,
280     % commentstyle=\color{BrickRed}\ttfamily,
281     % keywordstyle=\color{Purple}\ttfamily,
282     % %identifierstyle=\color{Blue}\ttfamily,
283     % %functionstyle=\color{Blue}\ttfamily,
284     % %typestyle=\color{ForestGreen}\ttfamily,
285     % stringstyle=\color{Tan}\ttfamily,
286     % morekeywords={,simulation,prop_dim,error_check,stochastic,%
287     % globals,field,dimensions,lattice,domains,samples,vector,%
288     % components,fourier_space,sequence,integrate,algorithm,%
289     % interval,k_operators,constant,operator_names,vectors,%
290     % output,filename,group,sampling,moments,benchmark,use_double,%
291     % use_wisdom,use_prefs,binary_output,cycles,filter,post_propagation,%
292     % default_value,argv,arg,iterations,cross_propagation,%
293     % use_mpi,paths,seed,noises,author,description,name,type,%
294     % }
295     % frame=none,%
296     % %framerule=2pt,%
297     % backgroundcolor=\color{LightGrey}%
298     % }
299     %
300     % % this implements producing nice code blocks
301     % % it also saves time, typing and
302     % % *should* reduce errors in the text by removing doubling up of code
303     % \lstnewenvironment{xmdsCode}[1][]{\lstset{style=myhtml}\lstset{#1}}{}
304     %
305     % % this implements nicely formatted shell code
306     % \lstnewenvironment{shellCode}[1][]{\lstset{style=myShell}\lstset{#1}}{}
307     %
308     % % this implements nicely formatted Perl code
309     % \lstnewenvironment{perlCode}[1][]{\lstset{style=myPerl}\lstset{#1}}{}
310     %
311     % % this implements nicely formatted Python code
312     % \lstnewenvironment{python}[1][]{\lstset{style=myPython}\lstset{#1}}{}
313     %
314     % % this implements nicely formatted C++ code
315     % \lstnewenvironment{CCode}{\lstset{style=myC++}}{}
316     %
317     % % this implements nicely formatted matlab code
318     % \lstnewenvironment{matlabCode}{\lstset{style=myMatlab}}{}
319     %
320     % % this implements nicely formatted scilab code
321     % \lstnewenvironment{scilabCode}{\lstset{style=myScilab}}{}
322     %
323     % %Ensures that latex doesn't have an error if we don't specify the version
324     % \providecommand{\RepVersion}{Unknown\xspace}
325 ahallam 2426 % to set this value use:
326     % (pdf)latex '\newcommand{\RepVersion}{version\xspace}\input{guide.tex}'
327     % as your command-line

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