/[MITgcm]/manual/s_algorithm/text/time_stepping.tex
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revision 1.26 by jmc, Thu Jun 29 01:45:32 2006 UTC revision 1.27 by jmc, Fri Aug 27 13:08:18 2010 UTC
# Line 10  describe the spatial discretization. The Line 10  describe the spatial discretization. The
10  terms are described first, afterwards the schemes that apply to  terms are described first, afterwards the schemes that apply to
11  passive and dynamically active tracers are described.  passive and dynamically active tracers are described.
12    
13  \input{part2/notation}  \input{s_algorithm/text/notation}
14    
15  \section{Time-stepping}  \section{Time-stepping}
16  \begin{rawhtml}  \begin{rawhtml}
# Line 74  described in section \ref{sect:nonlinear Line 74  described in section \ref{sect:nonlinear
74    
75  \begin{figure}  \begin{figure}
76  \begin{center}  \begin{center}
77  \resizebox{4.0in}{!}{\includegraphics{part2/pressure-method-rigid-lid.eps}}  \resizebox{4.0in}{!}{\includegraphics{s_algorithm/figs/pressure-method-rigid-lid.eps}}
78  \end{center}  \end{center}
79  \caption{  \caption{
80  A schematic of the evolution in time of the pressure method  A schematic of the evolution in time of the pressure method
# Line 376  A stability analysis for a relaxation eq Line 376  A stability analysis for a relaxation eq
376    
377  \begin{figure}  \begin{figure}
378  \begin{center}  \begin{center}
379  \resizebox{5.5in}{!}{\includegraphics{part2/oscil+damp_AB2.eps}}  \resizebox{5.5in}{!}{\includegraphics{s_algorithm/figs/oscil+damp_AB2.eps}}
380  \end{center}  \end{center}
381  \caption{  \caption{
382  Oscillatory and damping response of  Oscillatory and damping response of
# Line 451  implicit and are thus cast as a an expli Line 451  implicit and are thus cast as a an expli
451    
452  \begin{figure}  \begin{figure}
453  \begin{center}  \begin{center}
454  \resizebox{5.0in}{!}{\includegraphics{part2/adams-bashforth-sync.eps}}  \resizebox{5.0in}{!}{\includegraphics{s_algorithm/figs/adams-bashforth-sync.eps}}
455  \end{center}  \end{center}
456  \caption{  \caption{
457  A schematic of the explicit Adams-Bashforth and implicit time-stepping  A schematic of the explicit Adams-Bashforth and implicit time-stepping
# Line 571  time-step. The corresponding calling tre Line 571  time-step. The corresponding calling tre
571    
572  \begin{figure}  \begin{figure}
573  \begin{center}  \begin{center}
574  \resizebox{5.5in}{!}{\includegraphics{part2/adams-bashforth-staggered.eps}}  \resizebox{5.5in}{!}{\includegraphics{s_algorithm/figs/adams-bashforth-staggered.eps}}
575  \end{center}  \end{center}
576  \caption{  \caption{
577  A schematic of the explicit Adams-Bashforth and implicit time-stepping  A schematic of the explicit Adams-Bashforth and implicit time-stepping
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