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functions in romberg.i -
max_doublings
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max_doublings= 20
is the maximum number of times romberg or simpson will split the
integration interval in half. Default is 20.
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romberg
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integral= romberg(function, a, b)
or integral= romberg(function, a, b, epsilon)
returns the integral of FUNCTION(x) from A to B. If EPSILON is
given, Simpson's rule is refined until that fractional accuracy
is obtained. EPSILON defaults to 1.e-6.
If the notvector= keyword is supplied and non-zero, then FUNCTION
may not be called with a list of x values to return a list of
results. By default, FUNCTION is assumed to be a vector function.
If the function is not very smooth, simpson may work better.
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SEE ALSO:
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simpson,
max_doublings
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simpson
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integral= simpson(function, a, b)
or integral= simpson(function, a, b, epsilon)
returns the integral of FUNCTION(x) from A to B. If EPSILON is
given, Simpson's rule is refined until that fractional accuracy
is obtained. EPSILON defaults to 1.e-6.
If the notvector= keyword is supplied and non-zero, then FUNCTION
may not be called with a list of x values to return a list of
results. By default, FUNCTION is assumed to be a vector function.
If the function is very smooth, romberg may work better.
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SEE ALSO:
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romberg,
max_doublings
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