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Southeast University

计算物理

Southeast University via XuetangX

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Overview

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本课程介绍计算物理中的主要数值方法，包括函数逼近、数值微积分、常微分方程、矩阵方法、谱分析、分子动力学、蒙特卡洛模拟和高性能计算，并包含综合项目。

Syllabus

  • 第零章 绪论
    • 课件-Introducation of this course
  • 第一章 Introducation of Computational Physics
    • 课件-Introducation of Computational Physics
  • 第二章 Approximation of Functions
    • 2.1 Interpolation
    • 2.2 Newton Interpolation
    • 2.3 Least-sqaures Approximation
    • 课件-Approximation of Functions
  • 第三章 Numerical Calculus
    • 3.1 Numerical Differentiation
    • 3.2 Numerical Integration
    • 3.3 Root
    • 3.4 Extremes of a Function
    • 课件-Numerical Calculus
  • 第四章 Ordinary Differential Equations
    • 4.1 Initial Value Problem
    • 4.2 Runge-Kutta Method
    • 4.3 Boundary-value problem
    • 课件-Ordinary Differential Equations
  • 第五章 Numerical Methods for Matrices
    • 5.1 Matrices in Physics
    • 5.2 Gaussian Elimination
    • 5.3 Eigenvalue
    • 5.4 Hydrogen Molecule
    • 课件-Numerical Methods for Matrices
  • 第六章 Spectral Analysis
    • 6.1 Fourier
    • 6.2 Discrete Fourier Transform
    • 6.3 Fast Fourier Transform
    • 课件-Spectral Analysis
  • 第七章 Molecular Dynamics
    • 7. Many Body
    • 课件-Molecular Dynamics
  • 第八章 Monte Carlo Simulations
    • 8.1 Sampling
    • 8.2 Importance Sampling
    • 8.3 Ising Model
    • 课件-Monte Carlo Simulations
  • 第九章 High-Performance Computing
    • 9.1 From PC to Supercomputer
    • 9.2 OPENMP
    • 9.3 MPI
    • 9.4 Library
    • 课件-High-Performance Computing
  • 第十章 A Comprehensive Project
    • 课件-A Comprehensive Project
  • 期末考试

    Taught by

    Shuai Dong

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