Analysis of the ODE Integration Methods

June 9, 1996

53

The following two graphs, FIGURE 29. and FIGURE 30., show the x-axis compo-

nent of the acceleration vector as a star makes a close pass to a collapsar. The time

*t=0*

is

arbitrarily chosen as the time when the star is the closest to the collapsar.

t

f(x(t))

**FIGURE 29. Graph of f() with a large step size.**

Note the apparent singularity at t=0.

t

f(x(t))

**FIGURE 30. Graph of f() with a small step size.**

Note that f() now looks like a continuous

function and has smaller peaks.

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