博士班課程(含選修)介紹

課程名稱半無限維線性規劃(三)
預備知識半無限維線性規劃(一)
課程目標希望學生在修完本課程之後能更了解半無限維線性規劃的理論、算法與其應用,並能夠利用算法去解半無限維線性規劃問題。
內容簡介主要內容深入探討半無限維線性規劃問題,包含其對偶理論、算法及其應用,還會做一些文獻探討及計算。
選擇內容Duality Theory、The Simplex Algorithm、文獻探討、Numerical Realization of the Simplex Algorithm、A General Three-phase Algorithm;

課程名稱富氏分析
預備知識分析、偏微分方程
課程目標We expect to grab the basic idea and concept of Fourier transform and integrals and some function spaces. Also we wish students can learn some knowledge and tools that can be applied to PDE problems. Students are required to present some material in book or in paper assigned.
內容簡介主要內容Ch0: Background
Ch1: Stationary phase
Ch2: Nonhomogeneous oscillatory integral operators
Ch3: Pseudo-differential operators
Ch4: Half-wave operator and functions of Pseudodifferential operators
Ch5: L^p estimates of eigenfunctions
Ch6: Fourier integral operators
Ch7: Local smoothing
選擇內容