• 作者： 黃鎮台
• 作者服務機構： 國立清華大學化學系
• 中文摘要： 本文係經由格林函數新解法之發展與化學速率方程式之維數縮減，以獲得複雜動力系統之高階靈敏度係數。針對化學動力系統之特殊性質，文中亦提出指數非線性靈敏度模型。文中所舉之簡例明顯指出高階靈敏度係數之重要性與指數非線性靈敏度模型之可靠性。
• 英文摘要： Based on a new way of evaluating the Green's function matrix and a general dimensionalityreduction technique, the Green's function method of sensitivity analysis [Hwang et al., J. Chem. Phys.,69,5180 (1978)] is developed further to a stage where higher-order sensitivity coefficients can be handledwith relative ease, even for highly complex reaction systems. A new nonlinear sensitivity model designedfor nonlinear sensitivity problems in chemical kinetics is also proposed. The model is shown to be more rel-iable and stable than other methods suggested in the past, and its success could be attributed to (i) theubiquitous appearance of exponential behavior in kinetic systems and (ii) the rapidity in variation of anexponential function in comparison with that of other elementary functions.
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