The influence of scientific computing has become very wide over
the last few decades: almost every area of science and engineering
is greatly influenced by simulations - image processing, thin
films, mathematical finance, electrical engineering, moving
interfaces and combustion, to name but a few.
One half of this book focuses on the techniques of scientific
computing: domain decomposition, the absorption of boundary
conditions and one-way operators, convergence analysis of
multi-grid methods and other multi-grid techniques, dynamical
systems, and matrix analysis.
The remainder of the book is concerned with combining techniques
with concrete applications: stochastic differential equations,
image processing, thin films, and asymptotic analysis for
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