866 research outputs found
Differential/Difference Equations
The study of oscillatory phenomena is an important part of the theory of differential equations. Oscillations naturally occur in virtually every area of applied science including, e.g., mechanics, electrical, radio engineering, and vibrotechnics. This Special Issue includes 19 high-quality papers with original research results in theoretical research, and recent progress in the study of applied problems in science and technology. This Special Issue brought together mathematicians with physicists, engineers, as well as other scientists. Topics covered in this issue: Oscillation theory; Differential/difference equations; Partial differential equations; Dynamical systems; Fractional calculus; Delays; Mathematical modeling and oscillations
The exponentially convergent trapezoidal rule
It is well known that the trapezoidal rule converges geometrically when applied to analytic functions on periodic intervals or the real line. The mathematics and history of this phenomenon are reviewed and it is shown that far from being a curiosity, it is linked with computational methods all across scientific computing, including algorithms related to inverse Laplace transforms, special functions, complex analysis, rational approximation, integral equations, and the computation of functions and eigenvalues of matrices and operators
An Exact, Time-dependent Analytical Solution for the Magnetic Field in the Inner Heliosheath
We derive an exact, time-dependent analytical magnetic eld solution for the inner
heliosheath, which satis es both the induction equation of ideal magnetohydrodynamics in the limit
of in nite electric conductivity and the magnetic divergence constraint. To this end, we assume
that the magnetic eld is frozen into a plasma
ow resembling the characteristic interaction of the
solar wind with the local interstellar medium. Furthermore, we make use of the ideal Ohm's law
for the magnetic vector potential and the electric scalar potential. By employing a suitable gauge
condition that relates the potentials and working with a characteristic coordinate representation, we
thus obtain an inhomogeneous rst-order system of ordinary di erential equations for the magnetic
vector potential. Then, using the general solution of this system, we compute the magnetic eld via
the magnetic curl relation. Finally, we analyze the well-posedness of the corresponding Dirichlettype
initial-boundary value problem, specify compatibility conditions for the initial-boundary values,
and outline the implementation of initial-boundary conditions
Abstract book
Welcome at the International Conference on Differential and Difference Equations
& Applications 2015.
The main aim of this conference is to promote, encourage, cooperate, and bring
together researchers in the fields of differential and difference equations. All areas
of differential & difference equations will be represented with special emphasis on
applications. It will be mathematically enriching and socially exciting event.
List of registered participants consists of 169 persons from 45 countries.
The five-day scientific program runs from May 18 (Monday) till May 22, 2015
(Friday). It consists of invited lectures (plenary lectures and invited lectures in
sections) and contributed talks in the following areas:
Ordinary differential equations,
Partial differential equations,
Numerical methods and applications, other topics
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