Operational methods have been used for over a century to solve
problems such as ordinary and partial differential equations. When
solving such problems, in many cases it is fairly easy to obtain
the Laplace transform, while it is very demanding to determine the
inverse Laplace transform which is the solution of a given problem.
Sometimes, after some difficult contour integration we may find
that a series solution results, but this may be quite difficult to
evaluate in order to get an answer at a particular time value. The
advent of computers has given an impetus to developing numerical
methods for the determination of the inverse Laplace transform.
This book gives background material on the theory of Laplace
transforms, together with a fairly comprehensive list of methods
which are available at the current time. Computer programs are
included for those methods which perform consistently well on a
wide range of Laplace transforms.
General
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