This chapter describes interface functions for
GNUPLOT ox server ox_sm1_gnuplot
.
These interface functions are defined in the file gnuplot
.
The file `gnuplot.rr' is at
`$(OpenXM_HOME)/lib/asir-contrib'.
[255] gnuplot.start(); 0 [257] gnuplot.gnuplot("plot sin(x**2);"); 0
The function
gnuplot.heat
(dt,step) demonstrates our gnuplot interface.
It numerically solves the heat equation
The segment [0,1] is devided into Heat_N
segments.
The static variable Heat_N
can be set by the function
gnuplot.heat_set_N
.
If the celebrated Courant-Friedrichs-Levi number
dt*Heat_N
*Heat_N
is less than or equal to 0.5,
then the explicit scheme is numerically stable.
One can observe the instability by changing CFL number.
gnuplot.heat_set_N(20); gnuplot.heat(0.001,30); (CFL number is 0.4) gnuplot.heat_set_N(20); gnuplot.heat(0.003,30); (CFL > 0.5 unstable)
Author of GNUPLOT
: Thomas Williams, Colin Kelley.
http://www.gnuplot.info
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