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How to avoid overflow or underflow in mathematica?

• To: mathgroup at smc.vnet.net
• Subject: [mg88648] How to avoid overflow or underflow in mathematica?
• From: quantumfang <membrane at 163.com>
• Date: Sun, 11 May 2008 15:14:41 -0400 (EDT)

It's well known that Mathematica can do evaluation to arbitrary precision. But I don't know how to avoid the following trouble in computing:

Ef = 0.;
mu=0.;
KBT = 1.*10^-10;
FL[omega_Real] := 1./(1. + E^((omega - mu - Ef)/KBT));

the error message shows

General::ovfl: Overflow occurred in computation. >>
General::unfl: Underflow occurred in computation. >>

• Follow-Ups:
  • Re: How to avoid overflow or underflow in mathematica?
    • From: "W_Craig Carter" <ccarter@mit.edu>
  • Re: How to avoid overflow or underflow in mathematica?
    • From: Carl Woll <carlw@wolfram.com>