  A computation method of algebraic local cohomology with parameters,
associated with zero-dimensional ideal with parameter, is introduced. This
computation method gives us in particular a decomposition of the parameter
space depending on the structure of algebraic local cohomology classes. This
decomposition informs us several properties of input ideals and the output of
our algorithm completely describes the multiplicity structure of input ideals.
An efficient algorithm for computing a parametric standard basis of a given
zero-dimensional ideal, with respect to an arbitrary local term order, is also
described as an application of the computation method. The algorithm can always
output "reduced" standard basis of a given zero-dimensional ideal, even if the
zero-dimensional ideal has parameters.
