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**Bachelor Program [#ld18d0b7]
-Numerical Computation, 2005-present~
Numerical linear algebra using Mathematica and Maple, which includes applications of finite difference schemes to elliptic, parabolic, and hyperbolic equations &ref(FDM.pdf);, iterative and direct solution methods for large linear systems, a comparison of Jacobi, Gauss-Siedel methods and SOR method &ref(ISM.pdf);, and conjugate gradient method.
-Numerical Computation, 2005-2016~
This course covers numerical linear algebra using Mathematica and Maple, which includes applications of finite difference schemes to elliptic, parabolic, and hyperbolic equations &ref(FDM.pdf);, iterative and direct solution methods for large linear systems, a comparison of Jacobi, Gauss-Siedel methods and SOR method &ref(ISM.pdf);, and conjugate gradient method.
#br
-Applied Mathematics, 2004~
1D elliptic and parabolic partial differential equations, Fourier analysis, convergence and stabilty of finite diference schemes, and Lax equivalence theorem.
Applied mathematics covers 1D elliptic and parabolic partial differential equations, Fourier analysis, convergence and stabilty of finite diference schemes, and Lax equivalence theorem.
**Master Program [#nb719089]
-Experimental Mathematics, 2000-2006~
Existence of weak solutions to the stationary drift-diffusion equation arising in semiconductors, Lax-Milgram theorem, Schauder fixed point theorem and iterative solution method, Tikhonov-Samarskii scheme and Scharfetter-Gummel scheme.
This course covers existence of weak solutions to the stationary drift-diffusion equation arising in semiconductors, Lax-Milgram theorem, Schauder fixed point theorem and iterative solution method, Tikhonov-Samarskii scheme and Scharfetter-Gummel scheme.