The first book to approach high oscillation as a subject of its
own, Highly Oscillatory Problems begins a new dialogue and lays the
groundwork for future research. It ensues from the six-month
programme held at the Newton Institute of Mathematical Sciences,
which was the first time that different specialists in highly
oscillatory research, from diverse areas of mathematics and
applications, had been brought together for a single intellectual
agenda. This ground-breaking volume consists of eight review papers
by leading experts in subject areas of active research, with an
emphasis on computation: numerical Hamiltonian problems, highly
oscillatory quadrature, rapid approximation of functions, high
frequency wave propagation, numerical homogenization,
discretization of the wave equation, high frequency scattering and
the solution of elliptic boundary value problems.
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