The contents of this thesis are concerned with the implementation
of parallel algorithms for solving partial differential equations
(POEs) by the Alternative Group EXplicit (AGE) method and an
investigation into the numerical inversion of the Laplace transform
on the Balance 8000 MIMO system.
Parallel computer architectures are introduced with different
types of existing parallel computers including the Data-Flow computer
and VLSI technology which are described from both the hardware and
implementation points of view. The main characteristics of the Sequent
parallel computer system at Loughborough University is presented, and
performance indicators, i.e., the speed-up and efficiency factors are
defined for the measurement of parallelism in the system. Basic ideas
of programming such computers are also outlined.....
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.