4,959 research outputs found
Present status of moral education in the public schools
Thesis (M.A.)--Boston Universit
Digital Eyewear in Cardiology-Looking Forward
Non peer reviewedPublisher PD
On the convergence of local expansions of layer potentials
In a recently developed quadrature method (quadrature by expansion or QBX),
it was demonstrated that weakly singular or singular layer potentials can be
evaluated rapidly and accurately on surface by making use of local expansions
about carefully chosen off-surface points. In this paper, we derive estimates
for the rate of convergence of these local expansions, providing the analytic
foundation for the QBX method. The estimates may also be of mathematical
interest, particularly for microlocal or asymptotic analysis in potential
theory
Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations, II
In this paper, we develop a new integral representation for the solution of
the time harmonic Maxwell equations in media with piecewise constant dielectric
permittivity and magnetic permeability in R^3. This representation leads to a
coupled system of Fredholm integral equations of the second kind for four
scalar densities supported on the material interface. Like the classical Muller
equation, it has no spurious resonances. Unlike the classical approach,
however, the representation does not suffer from low frequency breakdown. We
illustrate the performance of the method with numerical examples.Comment: 36 pages, 5 figure
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Heterogeneous Catalyst Design Principles for the Conversion of Lignin into High Value Commodity Fuels and Chemicals
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