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Electromagnetic Theory PHYS334
Date
2013-2014
Author
Başkal Baykal, Sibel
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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.
URI
https://ocw.metu.edu.tr/course/view.php?id=237
https://hdl.handle.net/11511/37078
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Department of Physics, Course Material
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Özpineci, Altuğ(2009)
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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.
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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
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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...
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S. Başkal Baykal, “Electromagnetic Theory PHYS334,” 00, 2013, Accessed: 00, 2020. [Online]. Available: https://ocw.metu.edu.tr/course/view.php?id=237.