We discuss the finite element approximation of eigenvalue problems associated with
compact operators. While the main emphasis is on symmetric problems, some comments …

Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

Numerical simulation of electromagnetic, thermal, and mechanical responses of the human
body to different stimuli in magnetic resonance imaging safety, antenna research …

This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …

We present a novel framework for finite element particle-in-cell methods based on the
discretization of the underlying Hamiltonian structure of the Vlasov–Maxwell system. We …

This book covers finite element methods for several typical eigenvalues that arise from
science and engineering. Both theory and implementation are covered in depth at the …

Efficient multiscale electromagnetic simulations require several major challenges that need
to be addressed, such as flexible and robust geometric modeling schemes, efficient and …

Computing spectra is a central problem in computational mathematics with an abundance of
applications throughout the sciences. However, in many applications gaining an …

The Foundations of Infinite-Dimensional Spectral Computations Page 1 The Foundations of
Infinite-Dimensional Spectral Computations Matthew J. Colbrook St John’s College University …

The problem of computing spectra of operators is arguably one of the most investigated
areas of computational mathematics. However, the problem of computing spectra of general …