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翻譯:章曦(簡介並寄信)
編輯:朱學(簡介並寄信)



課程單元
1 導論:什麼是建模?什麼是模擬?它們有什麼用?
Introduction: What is modeling, what is simulation, what are they used for?
2 統計力學:由簡單個體組成之總體的統計平均行為;穿透=隨機環境;無規行走;擴散導致的聚集
Statistical Mechanics: Statistical averaged behavior of populations of simple actors; percolation = random environments; random walks; diffusion-limited aggregation
3 分子動力學
Molecular Dynamics
4 蒙地卡羅
Monte-Carlo
5 從頭計算法:電子密度函數的第一原理量子力學計算
Ab-Initio Calculations: First-principles quantum mechanics calculations of electron density functions
6 連續介質方法I:連續介質方程,熱傳導的有限差分法
Continuum Methods I: Continuum equations, finite difference method for heat conduction
7 連續介質方法II:從離散到連續,彈性力學的有限元法
Continuum Methods II: From discrete to continuous, finite element method for elastic mechanics
8 流沙及Pebble-Bed 核反應爐;晶體是怎樣融化的
Draining Sand and Pebble-Bed Nuclear Reactors; How Crystals Melt
9 平衡態介面;介面動力學;傳輸導致的電化學
Interfaces at Equilibrium; Interface Dynamics; Transport-Limited Electrochemistry
10 相變;力學平衡與熱輸運
Phase Transitions; Mechanical Equilibrium and Thermal Transport
11 枝晶固化;納米技術中的原子模擬;經典與量子退火
Dendritic Solidification; Atomistic Simulations in Nanotechnology; Classical and Quantum Annealing
12 表面化學的多尺度建模;骨再造與骨折的生物力學
Multiscale Modeling of Surface Chemistry; Biomechanics of Bone Remodeling and Fracture
13 蛋白質折疊;生物醫學過程的模擬;生物膜模擬
Protein Folding; Simulation of Biomedical Processes; Biomembrane Simulations
14 學生大作業報告
Student Project Presentations

 
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