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Introduction to Modeling and Simulation[MIT课程讲义]
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Description Basic concepts of computer modeling in science and engineering using discrete particle systems and continuum fields. Techniques and software for statistical sampling, simulation, data analysis and visualization. Use of statistical, quantum chemical, molecular dynamics, Monte Carlo, mesoscale and continuum methods to study fundamental physical phenomena encountered in the fields of computational physics, chemistry, mechanics, materials science, biology, and applied mathematics. Applications drawn from a range of disciplines to build a broad-based understanding of complex structures and interactions in problems where simulation is on equal-footing with theory and experiment. Term project allows development of individual interest. Student mentoring by a coordinated team of participating faculty from across the Institute. Contents Lecture: 1 Overview of Modeling Concepts Lecture: 2 Survey of Simulation Techniques Lecture: 3 Percolation Lecture: 7 Basic Molecular Dynamics Lecture: 8 Dilute Gases Lecture: 9 A Monte Carlo Primer Lecture: 12 Quantum Mechanics and Shakespeare Lecture: 13 Quantum Mechanics: The Practice Lecture: 15 Conservation Laws in Continuum Modeling Lecture: 16 Finite Diference Solution of the Heat Equation Lecture: 18 Discrete to Continuum Modeling Lecture: 19 Introduction to Finite Element Modeling in Solid Mechanics Lecture: 24 Modeling and Simulation of Isotropic Multi-Phase Systems Lecture: 26 Phase Field, Fluid Flow, Electrochemistry Lecture: 29 Fluid-Structure Interaction in Phase Field Models |
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