Previously, Chang reported a new class of high-order Conservation Element Solution Element, CESE, methods for solving nonlinear hyperbolic partial differential equations. The scheme was then extended by Bilyeu, et al. to solve a 1D vector equation with an arbitrary order of convergence. This new high-order CESE method shares many favorable attributes of the original second-order CESE method, including: (i) compact mesh stencil involving only the immediate mesh nodes surrounding the ...
In the present paper, we extend Chang's high-order method for system of linear and non-linear hyperbolic partial differential equations. A general formulation is presented for solving the coupled equations with arbitrarily high-order accuracy. To demonstrate the formulation, several linear and non-linear cases are reported. First, we solve a convection equation with source term and the linear acoustics equations. We then solve the Euler equations for acoustic waves, a blast wave, ...
Low dimensional structures such as quantum wires and boxes are one of the interesting subjects. Up to date, various microstructures have been fabricated and characterized by various methods. Focused ion beam (FEB) is one of the useful methods because this method makes it possible to modify, deposit and etch various materials in desired pattern. In this paper, we report fabrication of InGaAs/InGaAsP quantum wires by Ga FICB. The properties of ...
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