Electromagnetic Theory PHYS334

2013-2014
Başkal Baykal, Sibel
Maxwells̀ equations; electromagnetic waves; propagation of electromagnetic waves in bounded region; Lienard-Wiechert potential; field of accelerated charge; electromagnetic radiation; Thomson cross-section; Lorentz transformation of electromagnetic fields.

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Maxwell's equations; electromagnetic waves; propagation of electromagnetic waves in bounded region; Lienard-Wiechert potential; field of accelerated charge; electromagnetic radiation; Thomson cross-section; Lorentz transformation of electromagnetic fields.
Quantum groups, R-matrices and factorization
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R-matrices are solutions of the Yang-Baxter equation. They give rise to link invariants. Quantum groups can be used to obtain R-matrices. Roughly speaking, Drinfeld’s quantum double corresponds to LU-decomposition. We proved a partial result concerning factorization of the quantum group M_{p,q} (n) into simpler pieces to ease the computations.
Oscillation of third-order nonlinear delay difference equations
AKTAŞ, MUSTAFA FAHRİ; Tiryaki, Aydin; Zafer, Ağacık (2012-01-01)
Third-order nonlinear difference equations of the form Delta(c(n)Delta(d(n)Delta x(n))) p(n)Delta x(n+1) + q(n)f (x(n-sigma)) = n >= n(0) are considered. Here, {c(n)}, {d(n)}, {p(n)} and {q(n)} are sequences of positive real numbers for n(0) is an element of N, f is a continuous function such that f(u)/u >= K > 0 for u not equal 0. By means of a Riccati transformation technique we obtain some new oscillation criteria. Examples are given to illustrate the importance of the results.
On the discretization of Laine equations
Zheltukhın, Kostyantyn (2018-01-01)
We consider the discretization of Darboux integrable equations. For each of the integrals of a Laine equation we constructed either a semi-discrete equation which has that integral as an n-integral, or we proved that such an equation does not exist. It is also shown that all constructed semi-discrete equations are Darboux integrable.
Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems
Karasözen, Bülent; Uzunca, Murat (2017-11-01)
Activator-inhibitor FitzHugh-Nagumo (FHN) equation is an example for reaction-diffusion equations with skew-gradient structure. We discretize the FHN equation using symmetric interior penalty discontinuous Galerkin (SIPG) method in space and average vector field (AVF) method in time. The AVF method is a geometric integrator, i.e. it preserves the energy of the Hamiltonian systems and energy dissipation of the gradient systems. In this work, we show that the fully discrete energy of the FHN equation satisfie...
Citation Formats
S. Başkal Baykal, “Electromagnetic Theory PHYS334,” 00, 2013, Accessed: 00, 2020. [Online]. Available: https://ocw.metu.edu.tr/course/view.php?id=237.