本論文研究主要目的是利用已有的Band 與LILU解法器，開發出可以由Band解法器為主LILU解法器為輔之架構或是由LILU解法器為主Band解法器為輔之架構，是採用連線表格等資料，可以很方便地得到兩種a(k)之轉換，Band解法器是採用交錯矩陣排列，LILU解法器是採用動態排列，矩陣上只儲存非零項，不同於傳統的連續排列方式，外部元件連結上，Band解法器是使用小電阻接線技巧(Small-R Method)，LILU是使用跳躍接線方式。 The main purpose of this paper is to use the Band and LILU solvers to develop a unified framework for 2D device simulation. This unified framework is developed mainly by Band solver and can be switched to LILU solver or vice versa. The matrix items can be easily transformed between the two different formats for two solvers. The data transform required a connection table to describe the circuit configuration. Band solver uses interleaving method to reduce the matrix bandwidth. LILU solver uses linked data structure, and only non-zero item in the matrix is stored. For 2D device simulation with the external components, the small-resistance method is used for band solver while a jump small-resistance method can be used for LILU solver. The integrated framework allows us to efficiently simulate 2D device by choosing the better solver.
