Advanced course on Computational Physics (Winter-Spring 2023)

Advanced course on Computational Physics for Ph.D. and MS students (Winter-Spring 2023)

This course is devoted to advanced and more recent topics in computational methods for physics.

Link for my previous lectures on Computational Physics (SBU-VPN needed)

Some topics to teach are as follows:

Solving coupled Differential Equations and Boundary Value Problems
Chaotic phenomena
Probability Distribution functions and transformations
Correlation functions, Two-point correlation function
Spectral analysis
Monte Carlo simulation
Basic topics for Molecular dynamics simulations
Simulation by VPython
Machine learning in Physics
Topological Based Data Analysis

Course subjects and program (Download)
A good movie presented by Pooyan Goodarzi to connect the server, remotely (Link)
Computational Physics By RUBIN H. LANDAU, MANUEL JOSE PAEZ and CRISTIAN C. BORDEIANU (See this link)
A good presentation by Kip R. Irvine for number representation (Download)
Some bash samples (Download)
A script for plotting figure by Python (Download)
A good text for commands in Fortran, C++, Matlab (Download)
VPython
Some necessary things for programming skills (Download)
A good paper for data analysis in cosmology by Licia Verde, arXiv:0712.3028
Online numerical recipes (http://www.numerical.recipes)
Computational physics course by Dr. Seyed Akbar Jafari, Sharif University of Technology
A good note prepared by Dr. Seyed Akbar Jafari (Download)
Note on Quantum Monte Carlo by Dr. Mehdi Neek Amal (Download)
My lecture concerning Errors and PDF (Download) (Download)
Some of my Python programs (Download)
Visualization by Matlab (link)
Discretization approaches (Download)
My note about deterministic Fractals (Download) & (See this link)
A good reference for errors https://archive.org/details/TaylorJ.R.IntroductionToErrorAnalysis2ed/page/n149
A proper series for Machine learning (Part 1), (part 2),
Some good Books for Machine learning and related topics, http://www.aghamousa.com/data-science-books/
A pedagogical link for MCMC code

Other related materials and courses

Researches methods course (Link)
Data Analysis workshop (Link)
Data Sciences (Link)
Stochastic field Workshop (Link)
Topological Based Data Analysis Workshop (Link)
Challenges in training and researches in Physics (Link)
Critical Phenomena and Phase transitions (Link)

Some of my lectures on the Board

My previous lectures (Link) and (Link) and (Link)

Preliminary Part (Download)
Number Representation (Download) (Download)
Data Science (Download)
Error estimation (error estimation) my note included (error estimation)
TDA (Download)
A script for plotting figure by Python (Download)
Quantum Machine Learning (Part1 & Part2) By Narges Eghbali and Anahid Kiani (Film)
Non-parametric modeling: Gaussian Processes (Download) By Ali Haghighatgoo

Exams timeline

First midterm will be held on 18 Esfand 1401 at 10 a.m. (Questions and Data)

Second midterm will be held on 21 Ordibehesht 1402 at 9:00 a.m. (Questions & Answer-key1 & Answer-key2 )

Final exam will be held on 31 Khordard 1402 at 9:00 a.m. (Questions & Data)

Final Mark (Download)

Exercises:

# Set 1 (Download) Necessary files (Q1-Part A) (Q1-Part B)

# Set 2 (Download) Necessary files (x_data and y_data and Data) (Datatypes.pdf)

# Set 3 (Download) Necessary files (Data)

# Set 4 (Download) Necessary files (FGN & FBM & Part E)

# Set 5 (Download) Necessary files (Q1 & Q2 Data package (Download); Q3 (Download); Q8: data1 (Download); Q9-12 (Download) (data including 0.2.txt, 0.5.txt and 0.8.txt which are same as data for Q1 & Q2)

# Set 6 (Download) Necessary files ((1+1)-Dimensional data (Download) & (1+2)-Dimensional data (Download) & (Download))