http://www.linear.com and http://www.maxim-ic.com make charging single
cell lithium ion batteries pretty easy. I've used the LTC1733 and LT4058
in a couple projects. As I recall, the LTC1733 terminates on current
dropping to 10% of the programmed current or on a time-out, whichever is
first. The LT4058 terminates on current dropping to 10% of programmed
current. Both are linear chargers with interesting thermal management. If
the temperature is getting too high, the current is backed off. So, if you
have a high ambient temperature or a small heat sink, your only penalty is
that it takes longer to charge the battery.

Harold




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