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[资源] Introduction to Modeling and Simulation[MIT课程讲义]

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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