A course on Computational Physics and Numerical Analysis  (Fall 2024)

This course is devoted to  some topics in computational methods for physics.

Link for class

Link for my previous lectures on Selected Topics

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

Link for my previous lectures on Computational Physics

Link for my lectures on Optimization (Khajeh Nasir Digital Library, 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
• Simulation by VPython
• Machine learning in Physics
• Topological Based Data Analysis

• Course subjects and program (Download)
• Preliminary Part A (Download)
• Preliminary Part B (Download)
• A good movie presented by Pooyan Goodarzi to connect the server, remotely (Link)
• A good link for shell script programming (Link)
• Some of my bash samples (Download)
• A sample for Linux commands skills (Download)
• A good link for programming tutorials  (Link)
• A good presentation by Kip R. Irvine for number representation (Download)

• Hartmann, Alexander K., and Heiko Rieger. Optimization algorithms in physics. Vol. 2. Berlin: Wiley-Vch, 2002.

• Hartmann, Alexander K., and Heiko Rieger, eds. "New optimization algorithms in physics." (2004): 134411.

• Mezard, Marc, and Andrea Montanari. Information, physics, and computation. Oxford University Press, 2009.

• 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)
• 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)
• My lectures on Errors and PDF (Download) (Download)
• Some of my Python programs (Download)
• Visualization by Matlab (link)
• Discretization approaches (Download) (Download)
• My note about deterministic Fractals (Download) & (see this link)
• A good reference for errors analysis (see this link)
• A proper series for Machine learning (Part 1), (part 2)
• School and Workshop on statistical analysis of stochastic fields (Link) (Link)
• A pedagogical matter for MCMC (Link)

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

• Preliminary Part for Advanced Computational methods (Download)
• Data Science 1 (Download)
• Number Representation (Download) (Download)
• Data Science 2 (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
• Simulation-Based-Inferences workshop by Mohammad Hossein Jalali (Download)
• Some examples for numerical analysis by Mathematica By Adeela Afzal (Download) & Video 1 (Link) & Video 2 (Link)
• A sample for plotting figure by Mathematica with its export commands (Download)

Lecture 24: Data modeling (Part 1), (Part2), (Part3), (Part4), (Part5), (Part6)

Lectures 25: Genetic Algorithm (Download), Simple class of Genetic Algorithm- Part A (comp990311B) and Part B (comp990313)

Exams timeline

First midterm will be held at 1403/08/24 at 9:00 am  Questions with answer-key (Download) & Data (Download), Send your results in zip format to Alireza Rahpeyma via g.al2rma[at]gmail.com

 

ردیف	شماره دانشجویی	midterm1-85
1	401216001	67
2	400216002	77
3	402216001	75
4	401216002	64
5	98216003	0
6	401216006	68
7	401216007	40
8	400216043	80
9	401216010	70
10	401216015	44
11	401216020	50
12	400216027	9
13	401216022	74
14	402216029	32
15	99216019	78
16	403216002	65
17	401216026	23
18	401216027	0
19	402216037	75
20	99216030	0
21	401216034	22
22	402216039	0
23	99216034	68
24	99216035	0
25	401216036	63
26	99216039	51
27	401216039	21
28	99216041	55
29	401216041	51
30	401216042	0
	mean	55.08
	var	20.92
	max	80
	min	9

 

Final exam

ردیف	شماره دانشجویی	final-145
1	401216001	94
2	400216002	95
3	402216001	93
4	401216002	23
5	98216003	0
6	401216006	43
7	401216007	69.5
8	400216043	126
9	401216010	104
10	401216015
11	401216020	103
12	400216027	18
13	401216022	81
14	402216029	63
15	99216019	94
16	403216002	0
17	401216026	0
18	401216027	0
19	402216037	118
20	99216030	0
21	401216034	0
22	402216039	0
23	99216034	25
24	99216035	0
25	401216036	80
26	99216039	101
27	401216039	0
28	99216041	37
29	401216041	50
30	401216042	0

Exercises:

# Set 1 (Download)  Necessary files (Q2-Part B) (Q2-Part E)

# Set 2 (Download)  Necessary file (DATA) (DATA 2) New version

# Set 3 (Download)  Necessary files (data)

# Set 4 (Download)  Necessary files (data)

# Set 5 (Download)

# Set 6 (Download) and (Download) (data including 0.2.txt, 0.5.txt and 0.8.txt)

# Set 7 (Download)

# Set 8 (Download)

# Set 9 (Download)

# Set 10 (Download) Related to Mathematica crash course (Download) & (Download) (see also the movie for the crash course by Adeela Afzal (Link1) & (Link2))

# Set 11 (Download) (Download) (data including 0.2.txt, 0.5.txt and 0.8.txt) & sunspot data (Download)

# Set 12 (Download)

# Set 13 (Download)

# Set 14 (Download)

# Set 15 (Download) dataexp2.txt