One of the main ways by which we can understand complex processes
is to create computerised numerical simulation models of them.
Modern simulation tools are not used only by experts, however, and
reliability has therefore become an important issue, meaning that
it is not sufficient for a simulation package merely to print out
some numbers, claiming them to be the desired results. An estimate
of the associated error is also needed. The errors may derive from
many sources: errors in the model, errors in discretization,
rounding errors, etc.
Unfortunately, this situation does not obtain for current
packages and there is a great deal of room for improvement. Only if
the error can be estimated is it possible to do something to reduce
it. The contributions in this book cover many aspects of the
subject, the main topics being error estimates and error control in
numerical linear algebra algorithms (closely related to the concept
of condition numbers), interval arithmetic and adaptivity for
continuous models.
General
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