The Collaborative International Dictionary of English v.0.48:

Numeric \Nu*mer"ic\, Numerical \Nu*mer"ic*al\, a. [Cf. F.
   num['e]rique. See Number, n.]
   [1913 Webster]
   1. Belonging to number; denoting number; consisting in
      numbers; expressed by numbers, and not letters; as,
      numerical characters; a numerical equation; a numerical
      statement.
      [1913 Webster]

   Note: Numerical, as opposed to algebraical, is used to
         denote a value irrespective of its sign; thus, -5 is
         numerically greater than -3, though algebraically less.
         [1913 Webster]

   2. The same in number; hence, identically the same;
      identical; as, the same numerical body. [Obs.] --South.
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            Would to God that all my fellow brethren, which with
            me bemoan the loss of their books, . . . might
            rejoice for the recovery thereof, though not the
            same numerical volumes.               --Fuller.
      [1913 Webster]

   3. relating to or having ability to think in or work with
      numbers; as, tests for rating numerical aptitude.
      Contrasted with verbal.

   Syn: mathematical.
        [WordNet 1.5]

   Numerical equation (Alg.), an equation which has all the
      quantities except the unknown expressed in numbers; --
      distinguished from literal equation.

   Numerical value of an equation or expression, that deduced
      by substituting numbers for the letters, and reducing.
      [1913 Webster]