This is TeX, Version 3.14159 (Web2C 7.4.5) (format=latex 2003.3.19)  23 MAY 2003 16:04
**\nonstopmode\input test.tex
(./test.tex (/pkg/teTeX/2.0.2/texmf/tex/latex/base/article.cls
Document Class: article 2001/04/21 v1.4e Standard LaTeX document class
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File: size10.clo 2001/04/21 v1.4e Standard LaTeX file (size option)
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Package: inputenc 2001/07/10 v0.99a Input encoding file 

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File: latin1.def 2001/07/10 v0.99a Input encoding file 
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Package: amsmath 2000/07/18 v2.13 AMS math features
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Package: babel 2001/03/01 v3.7h The Babel package

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File: babel.def 2001/03/01 v3.7h Babel common definitions
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) (./test.aux
! Missing \endcsname inserted.
<to be read again> 
                   \unhbox 
l.11 ..., med f\"or\"anklade randv\"arden}{{1}{2}}
                                                  
The control sequence marked <to be read again> should
not appear between \csname and \endcsname.


LaTeX Warning: Label `L\"osning av ekv. Ax=b, med f\"or\"anklade randv\"arden' 
multiply defined.

! Missing \endcsname inserted.
<to be read again> 
                   \unhbox 
l.11 ..., med f\"or\"anklade randv\"arden}{{1}{2}}
                                                  
The control sequence marked <to be read again> should
not appear between \csname and \endcsname.


! LaTeX Error: Missing \begin{document}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.11 ..., med f\"or\"anklade randv\"arden}{{1}{2}}
                                                  
You're in trouble here.  Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

! Missing number, treated as zero.
<to be read again> 
                   \accent@spacefactor 
l.11 ..., med f\"or\"anklade randv\"arden}{{1}{2}}
                                                  
A number should have been here; I inserted `0'.
(If you can't figure out why I needed to see a number,
look up `weird error' in the index to The TeXbook.)

! Bad space factor (0).
<to be read again> 
                   \accent@spacefactor 
l.11 ..., med f\"or\"anklade randv\"arden}{{1}{2}}
                                                  
I allow only values in the range 1..32767 here.

! Extra \endcsname.
\@namedef ...xpandafter \def \csname #1\endcsname 
                                                  
l.11 ..., med f\"or\"anklade randv\"arden}{{1}{2}}
                                                  
I'm ignoring this, since I wasn't doing a \csname.

! Extra }, or forgotten \endgroup.
\@newl@bel ...ined}}\global \@namedef {#1@#2}{#3}}
                                                  
l.11 ..., med f\"or\"anklade randv\"arden}{{1}{2}}
                                                  
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.

)
\openout1 = `test.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 11.
LaTeX Font Info:    ... okay on input line 11.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 11.
LaTeX Font Info:    ... okay on input line 11.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 11.
LaTeX Font Info:    ... okay on input line 11.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 11.
LaTeX Font Info:    ... okay on input line 11.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 11.
LaTeX Font Info:    ... okay on input line 11.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 11.
LaTeX Font Info:    ... okay on input line 11.
 [1

]
! Double subscript.
<argument> \split@tag \begin {split}u_x_
                                        x+u_y_y&=q_0, 0.1<x<0.9, 0<y<0.2\\- ...
l.21 ...lde{h}u(1,y),\textbf{{x}}\in D \end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split}u_x_x+u_y_
                                              y&=q_0, 0.1<x<0.9, 0<y<0.2\\- ...
l.21 ...lde{h}u(1,y),\textbf{{x}}\in D \end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split}u_x_
                                        x+u_y_y&=q_0, 0.1<x<0.9, 0<y<0.2\\- ...
l.21 ...lde{h}u(1,y),\textbf{{x}}\in D \end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split}u_x_x+u_y_
                                              y&=q_0, 0.1<x<0.9, 0<y<0.2\\- ...
l.21 ...lde{h}u(1,y),\textbf{{x}}\in D \end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> Lk_C_
                n
l.22 ...\tilde{h}=\frac{100W/(m^2\cdot K)}{Lk_C_n}
                                                  =12.56/m^2?$. \\
I treat `x_1_2' essentially like `x_1{}_2'.


Underfull \hbox (badness 10000) in paragraph at lines 21--23

 []

! Double subscript.
l.25 ...llar losningen i de olika punkterna  $u_k_
                                                  ,_l=u(k\triangle x,l\trian...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...ar losningen i de olika punkterna  $u_k_,_
                                                  l=u(k\triangle x,l\triangl...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...har alltså de $MN$ st inre punkterna:$u_1_
                                                  1,u_1_2,..u_1_M,u_2_1,...,...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...ltså de $MN$ st inre punkterna:$u_1_1,u_1_
                                                  2,..u_1_M,u_2_1,...,u_N_M$...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...$MN$ st inre punkterna:$u_1_1,u_1_2,..u_1_
                                                  M,u_2_1,...,u_N_M$. \\Det ...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...t inre punkterna:$u_1_1,u_1_2,..u_1_M,u_2_
                                                  1,...,u_N_M$. \\Det forenk...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...kterna:$u_1_1,u_1_2,..u_1_M,u_2_1,...,u_N_
                                                  M$. \\Det forenklade randv...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 .... \\Det forenklade randvillkoret ger $u_k_
                                                  l=0$ då $k=0,N+1$ eller $l...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...0,N+1$ eller $l=0,M+1$. Vi får också $f_k_
                                                  ,_l=f(k\triangle,l\triangl...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...N+1$ eller $l=0,M+1$. Vi får också $f_k_,_
                                                  l=f(k\triangle,l\triangle)...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...ander vi fempunktsapproximationen av $u_x_
                                                  x +u_y_y$ ... Genom att in...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...i fempunktsapproximationen av $u_x_x +u_y_
                                                  y$ ... Genom att infora $\...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ..._y$ ... Genom att infora $\textbf{u}=(u_1_
                                                  1,u_1_2,u_1_3,u_2_1,u_2_2,...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 .... Genom att infora $\textbf{u}=(u_1_1,u_1_
                                                  2,u_1_3,u_2_1,u_2_2,u_2_3,...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...m att infora $\textbf{u}=(u_1_1,u_1_2,u_1_
                                                  3,u_2_1,u_2_2,u_2_3,..,u_9...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...infora $\textbf{u}=(u_1_1,u_1_2,u_1_3,u_2_
                                                  1,u_2_2,u_2_3,..,u_9_3)$ o...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ... $\textbf{u}=(u_1_1,u_1_2,u_1_3,u_2_1,u_2_
                                                  2,u_2_3,..,u_9_3)$ och $MN...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...tbf{u}=(u_1_1,u_1_2,u_1_3,u_2_1,u_2_2,u_2_
                                                  3,..,u_9_3)$ och $MN$-vekt...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ..._1_1,u_1_2,u_1_3,u_2_1,u_2_2,u_2_3,..,u_9_
                                                  3)$ och $MN$-vektorn $\tex...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...{q} _0$ vilken innehåller vardena på $f_k_
                                                  ,_l$, och ar ordnad på sam...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ...} _0$ vilken innehåller vardena på $f_k_,_
                                                  l$, och ar ordnad på samma...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.25 ..._l$, och ar ordnad på samma satt som $u_k_
                                                  l$ får vi ekvationen for d...
I treat `x_1_2' essentially like `x_1{}_2'.

[2]
! Undefined control sequence.
l.27 dar $\textbf{\emph{A}}$ ar $MN\timesMN
                                           $ och har komponenterna $A_i_j=-4...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Double subscript.
l.27 ...r $MN\timesMN$ och har komponenterna $A_i_
                                                  j=-4, i=j, A_i_j=1, |i-j|=...
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.27 ...och har komponenterna $A_i_j=-4, i=j, A_i_
                                                  j=1, |i-j|=1$, eller $|i-j...
I treat `x_1_2' essentially like `x_1{}_2'.


LaTeX Warning: File `fig1.eps' not found on input line 27.


! LaTeX Error: File `fig1.eps' not found.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.27 ...graphics[height=6 cm,width=9 cm]{fig1.eps}
                                                  
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Cannot determine size of graphic in fig1.eps (no BoundingBox).

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.27 ...graphics[height=6 cm,width=9 cm]{fig1.eps}
                                                  
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

File: fig1.eps Graphic file (type eps)
<fig1.eps>
Overfull \hbox (62.6413pt too wide) in paragraph at lines 26--28
\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 i \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 j\OM
S/cmsy/m/n/10 j \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 M$\OT1/cmr/m/n/10 . Re-sul-t
a-ten ses i fi-gur 1. [] 
 []

File: forenklade_rv.eps Graphic file (type eps)
<forenklade_rv.eps>
! Double subscript.
l.41 ...ta påverkar endast diagonalelementen $A_j_
                                                  j$ enl foljande: $\frac{1}...
I treat `x_1_2' essentially like `x_1{}_2'.


Overfull \hbox (2.53879pt too wide) in paragraph at lines 44--44
[]\OT1/cmr/bx/n/12 V^^Wagekvationen i 1D - Los-ning med Leap-Frog-Metoden 
 []


! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.44 ...n i 1D - Losning med Leap-Frog-Metoden}\\I
                                                   den har uppgiften studera...

Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

! Double subscript.
<argument> \split@tag \begin {split} u_t_
                                         t-u_x_x&=0, 0<x<1\\u(0,x)&=u_0(x)\\...
l.48 \end{split}
                
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split} u_t_t-u_x_
                                               x&=0, 0<x<1\\u(0,x)&=u_0(x)\\...
l.48 \end{split}
                
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split} u_t_
                                         t-u_x_x&=0, 0<x<1\\u(0,x)&=u_0(x)\\...
l.48 \end{split}
                
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split} u_t_t-u_x_
                                               x&=0, 0<x<1\\u(0,x)&=u_0(x)\\...
l.48 \end{split}
                
I treat `x_1_2' essentially like `x_1{}_2'.

[3]
! Double subscript.
<argument> ...begin {split} \textbf {\emph {u}}_t_
                                                  t=\textbf {\emph {A}}\text...
l.53 \end{split}
                
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> ...begin {split} \textbf {\emph {u}}_t_
                                                  t=\textbf {\emph {A}}\text...
l.53 \end{split}
                
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
l.55 ...nkterna på x-axeln. Vi har också att $A_i_
                                                  j=-2/(\triangle x)^2$ om $...
I treat `x_1_2' essentially like `x_1{}_2'.


Overfull \hbox (8.33395pt too wide) in paragraph at lines 54--56
\OT1/cmr/m/n/10 D^^Wa vi lo-ser det-ta sy-stem med central-dif-fe-ren-ser i ti-
den f^^War vi for var-je u-komponent: 
 []


LaTeX Warning: File `ogon.eps' not found on input line 59.


! LaTeX Error: File `ogon.eps' not found.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.59 \scalebox{0.5}{\includegraphics{ogon.eps}}
                                               
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Cannot determine size of graphic in ogon.eps (no BoundingBox).

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.59 \scalebox{0.5}{\includegraphics{ogon.eps}}
                                               
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

File: ogon.eps Graphic file (type eps)
<ogon.eps>
! Double subscript.
<argument> \split@tag \begin {split}p_t_
                                        t-c_0^2p_x_x+D(x)p=G(t,x), p(0)=p(L)...
l.67 ..._x_x+D(x)p=G(t,x),  p(0)=p(L)=0\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> ...it@tag \begin {split}p_t_t-c_0^2p_x_
                                                  x+D(x)p=G(t,x), p(0)=p(L)=...
l.67 ..._x_x+D(x)p=G(t,x),  p(0)=p(L)=0\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split}p_t_
                                        t-c_0^2p_x_x+D(x)p=G(t,x), p(0)=p(L)...
l.67 ..._x_x+D(x)p=G(t,x),  p(0)=p(L)=0\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> ...it@tag \begin {split}p_t_t-c_0^2p_x_
                                                  x+D(x)p=G(t,x), p(0)=p(L)=...
l.67 ..._x_x+D(x)p=G(t,x),  p(0)=p(L)=0\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split}u_t_
                                        t-u_x_x+d(x)p=g(t,x), u(0)=u(1)=0\en...
l.70 ..._x_x+d(x)p=g(t,x),  u(0)=u(1)=0\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split}u_t_t-u_x_
                                              x+d(x)p=g(t,x), u(0)=u(1)=0\en...
l.70 ..._x_x+d(x)p=g(t,x),  u(0)=u(1)=0\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split}u_t_
                                        t-u_x_x+d(x)p=g(t,x), u(0)=u(1)=0\en...
l.70 ..._x_x+d(x)p=g(t,x),  u(0)=u(1)=0\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> \split@tag \begin {split}u_t_t-u_x_
                                              x+d(x)p=g(t,x), u(0)=u(1)=0\en...
l.70 ..._x_x+d(x)p=g(t,x),  u(0)=u(1)=0\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> ...\begin {split}\textbf {\emph {u}}_t_
                                                  t=\textbf {\emph {A}}\text...
l.72 ...{\emph{u}}+\textbf{\emph{g}}(t)\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.

! Double subscript.
<argument> ...\begin {split}\textbf {\emph {u}}_t_
                                                  t=\textbf {\emph {A}}\text...
l.72 ...{\emph{u}}+\textbf{\emph{g}}(t)\end{split}
                                                  \end{equation}
I treat `x_1_2' essentially like `x_1{}_2'.


LaTeX Warning: File `staende.eps' not found on input line 77.


! LaTeX Error: File `staende.eps' not found.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.77 \scalebox{0.5}{\includegraphics{staende.eps}}
                                                  
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Cannot determine size of graphic in staende.eps (no BoundingBox)
.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.77 \scalebox{0.5}{\includegraphics{staende.eps}}
                                                  
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

File: staende.eps Graphic file (type eps)
<staende.eps> [4]

LaTeX Warning: File `x025.eps' not found on input line 86.


! LaTeX Error: File `x025.eps' not found.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.86 \scalebox{0.5}{\includegraphics{x025.eps}}
                                               
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Cannot determine size of graphic in x025.eps (no BoundingBox).

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.86 \scalebox{0.5}{\includegraphics{x025.eps}}
                                               
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

File: x025.eps Graphic file (type eps)
<x025.eps>

LaTeX Warning: File `hz.eps' not found on input line 97.


! LaTeX Error: File `hz.eps' not found.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.97 \scalebox{0.5}{\includegraphics{hz.eps}}
                                             
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Cannot determine size of graphic in hz.eps (no BoundingBox).

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.97 \scalebox{0.5}{\includegraphics{hz.eps}}
                                             
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.

File: hz.eps Graphic file (type eps)
<hz.eps>
Underfull \hbox (badness 10000) in paragraph at lines 104--107

 []


Underfull \hbox (badness 10000) in paragraph at lines 113--114

 []

[5] [6] (./test.aux
! Missing \endcsname inserted.
<to be read again> 
                   \protect 
l.11 ...=b, med f\"orenklade randv\"arden}{{1}{3}}
                                                  
The control sequence marked <to be read again> should
not appear between \csname and \endcsname.

! Extra \endcsname.
\@newl@bel ... \bbl@tempa \csname #1@#2\endcsname 
                                                  \def \bbl@tempb {#3}\@safe...
l.11 ...=b, med f\"orenklade randv\"arden}{{1}{3}}
                                                  
I'm ignoring this, since I wasn't doing a \csname.

)

LaTeX Warning: There were multiply-defined labels.

 ) 
Here is how much of TeX's memory you used:
 1525 strings out of 95826
 17603 string characters out of 1195103
 74195 words of memory out of 1000001
 4472 multiletter control sequences out of 10000+50000
 10719 words of font info for 38 fonts, out of 500000 for 1000
 22 hyphenation exceptions out of 1000
 27i,17n,24p,1012b,372s stack positions out of 1500i,500n,5000p,200000b,5000s

Output written on test.dvi (6 pages, 14080 bytes).