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2017　Computational Physics

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Academic unit or major
Undergraduate major in Physics
Instructor(s)
Itahashi Kenta 
Class Format
Lecture / Exercise     
Media-enhanced courses
Day/Period(Room No.)
Tue7-8(情報ネットワーク演習室)  Fri7-8(情報ネットワーク演習室)  
Group
-
Course number
PHY.L210
Credits
2
Academic year
2017
Offered quarter
4Q
Syllabus updated
2017/3/17
Lecture notes updated
-
Language used
Japanese
Access Index

Course description and aims

Provide basic knowledge and technique to advance research in physics using computes as tools. First, teach a programming language to use computers as calculators.

Through practical programming experiences, provide appropriate programming manners. Then, provide basic techniques of numerical solution of differential equations, simulations, and data analysis, which are major roles of computers in modern physics researches.

Student learning outcomes

This course will provide opportunities to learn various methods of computational physics, which is a major research technique besides experimental and theoretical physics.
Students will acquire knowledge and experience that can be applied to solve problems through practical training of programming.

Keywords

Programming languages, numerical integrations, numerical solutions of differential equations, data analysis, Monte-Carlo simulations.

Competencies that will be developed

✔ Specialist skills Intercultural skills Communication skills ✔ Critical thinking skills ✔ Practical and/or problem-solving skills

Class flow

1/3 of class will be a lecture on basic concepts and required knowledge including explanations on important points. 2/3 will be adopted to practical programming.

Course schedule/Required learning

  Course schedule Required learning
Class 1 First step with TSUBAME Logon to TSUBME and start setup
Class 2 Introduction to UNIX and C language Write a program in C and execute it
Class 3 First programming for deduction of pi Calculate pi by a series expansion of arctangent
Class 4 Ideas for better conversion of numerical calculations Find a better series expansion method to calculate pi
Class 5 Numerical solutions of differential equations I Euler methods Solve a differential equation by Euler method
Class 6 Numerical solutions of differential equations II Modified Euler Change the method to modified Euler method
Class 7 Numerical solutions of differential equations III Runge-Kutta Solve a 2nd order differential equation by Runge-Kutta method
Class 8 Application of numerical solutions to quantum mechanics I Solve a matrix problem with BLAS package
Class 9 Application of numerical solutions to quantum mechanics II Write a program to calculate wave function for arbitrary potential function.
Class 10 Precision of numerical calculations and errors Study errors in numerical calculations
Class 11 Monte-Carlo simulations I random numbers Calculate an area by using random numbers
Class 12 Monte-Carlo simulations II visualization Write a program for visualization with PGPlot.
Class 13 Monte-Carlo simulations III Metropolis method Write a program for Ising model using Metropolis method
Class 14 Monte-Carlo simulations IV Physical quantities Measure physical quantities by the Ising model.
Class 15 Data analysis Make a fit to data and deduce peak position, width and intensity

Textbook(s)

Textbook distributed by the instructor.

Reference books, course materials, etc.

Not specified.

Assessment criteria and methods

By monthly report.

Related courses

  • PHY.Q207 ： Introduction to Quantum Mechanics
  • PHY.S301 ： Statistical Mechanics
  • PHY.L201 ： Experimental Physics

Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites.

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