Scientific computing has become an indispensable tool in numerous
fields, such as physics, mechanics, biology, finance and industry.
For example, it enables us, thanks to efficient algorithms adapted
to current computers, to simulate, without the help of models or
experimentations, the deflection of beams in bending, the sound
level in a theater room or a fluid flowing around an aircraft wing.
This book presents the scientific computing techniques applied to
parallel computing for the numerical simulation of large-scale
problems; these problems result from systems modeled by partial
differential equations. Computing concepts will be tackled via
examples. Implementation and programming techniques resulting from
the finite element method will be presented for direct solvers,
iterative solvers and domain decomposition methods, along with an
introduction to MPI and OpenMP.
General
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