Next: Enhanced integration facilities
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Evalf now uses asymptotic series to numerically evaluate
the following special functions for large
:
Si(x) and Ci(x) (Sine and Cosine integrals),
Ai(x) and Bi(x) (Airy wave functions),
erfc(x) (complementary error function),
BesselJ(v,x) and BesselY(v,x)
(Bessel functions 
and 
).
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The efficiency of evaluating the elementary functions to high precision
has also been improved - see section 7.
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Evalf of sum(f(r),r=RootOf(a(x),x)) sums
over the
complex roots of a polynomial 
.
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Dsolve has been extended to use a Runge-Kutta based numerical method for
solving initial value ODE's.
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The library routines shake and evalr provide a model
of interval arithmetic which is used to do simplifications of
signum of exact real constants.