| Date | Teacher | Place | Topic | Lecture notes / comments |
| 19.08.2013 | Morten Hjorth-Jensen (MHJ) | Lille Fysiske Auditorium (LFA) | Introduction to Computational Physics and FYS3150/4150. Basic programming elements in C/C++ and discussion of numerical precision | Literature: Lecture notes chapters 1 and 2. |
| 20.08.2013 | MHJ | LFA | Numerical precision and basic programming elements of C/C++ | |
| 22-23.08.2013 | MHJ, Haavard Tveit Ihle (HTI) and Morten Ledum (ML). | Computerlab, room FV329, Dept of Physics | Getting aquainted with the computer lab and basic programming | Presentation of hardware and software in the computerlab. Programming exercises 2.1, 2.2 and 3.1(see chapters 2 and 3 of lecture notes), see under exercises. There is no need to hand in any of the exercises the first two weeks. Project 1 is presented September 3, with hand in September 17. You can write your program in Fortran, C/C++ or Python. But we recommend you to start learning C/C++ or Fortran95. |
| 26.08.2013 | MHJ | LFA | C/C++ programming, numerical precision, numerical derivation, error analysis and matrix handling | Lecture notes chapters 2 and 3. |
| 27.08.2013 | MHJ | LFA | Numerical derivation, error analysis and dynamic memory allocation. Introduction to linear Algebra | Lecture notes chapter 3 and 6. We will also discuss parts of project 1 and Gaussian elimination if time allows. |
| 29-30.08.2013 | HTI, Ml and MHJ | FV329 | Exercise 3.1 and eventually project 1. | Exercise 3.1 can be found in chapter 3 of the lecture notes. If you wish to, you can start with project 1 as well. The project will be available from Tuesday 27. The relevant text is in chapter 6.4 of the lecture notes. |
| 02.09.2013 | MHJ | LFA | Linear Algebra, dynamic memory allocation | Lecture notes chapter 6. The methods we discuss are LU decomposition, Cholesky decomposition, solution of linear equations, inverse and determinant of a matrix and tridiagonal linear equations. |
| 03.09.2013 | MHJ | LFA | Linear Algebra, continues. | Lecture notes chapter 6. |
| 05-6.09.2013 | HTI, ML and MHJ | FV329 | Solution of Project 1 | The pdf file is available under projects. The library files needed can be found under the fortran or C/C++ libraries under programs. These files contain several methods. For this project you need the methods for LU decomposition and the solution of linear equations. For those of you who want to use armadillo, there are corresponding examples and library files. |
| 09.09.2013 | MHJ | LFA | Linear algebra and cubic splines | We end chapter 6 on linear algebra discussing the LU decomposition and the spline method which is an efficient way of interpolating in data sets. The interpolation is based on a triangular linear equation. |
| 10.09.2013 | MHJ | LFA | Eigenvalue problems | We start with Jacobi's method to solve eigenvalue problems. Chapter 7 of lecture notes. Project 2 is also presented. |
| 12-13.09.2013 | HTI, ML and MHJ | FV329 | Project 2 | |
| 16.09.2013 | MHJ | LFA | Eigenvalue problems | We continue with the discussion of Jacobi's method and continue also our discussion of project 2. |
| 17.09.2013 | MHJ | LFA | Eigenvalue problems | We discuss also Householder's and Givens' methods for solving eigenvalue problems. All material is covered by chapter 7. Lanczos' iterative algorithm will also be discussed. |
| 19-20.09.2013 | HTI, ML and MHJ | FV329 | Project 2 | |
| 23.09.2013 | MHJ | LFA | Numerical integration | We will start with numerical integration, with a repetition of the Trapezoidal rule, the Rectangular rule and Simpson's rule. Chapter 4 of lecture notes. |
| 24.09.2013 | MHJ | LFA | Numerical integration and parallelization | Gaussian quadrature and parallelization. All material in chapter 4. |
| 26-27.09.2013 | HTI, ML and MHJ | FV329 | Project 2 | |
| 30.09.2013 | MHJ | LFA | Monte Carlo methods | We start with Monte Carlo integration of multidimensional integrals, all material covered by chapter 11. We need to define several concepts; such as random numbers, probability distributions and stochastical variables. Project 3 is also presented. |
| 01.10.2013 | MHJ | LFA | Monte Carlo methods | Random numbers and probability distributions, chapter 11 of lecture notes. |
| 03-4.10.2013 | HTI, ML and MHJ | FV329 | Project 2 | |
| 07.10.2013 | MHJ | LFA | ||
| 08.10.2013 | MHJ | LFA | Monte Carlo integration | We discuss importance sampling and integration by Monte Carlo methods of multi-dimensional integrals. Material covered by chapter 11. Project 3 will also be discussed. |
| 10-11.10.2013 | HTI, ML and MHJ | FV329 | Project 3 | |
| 14.10.2013 | MHJ | LFA | Markov chains and random walks | We continue the discussion of importance sampling and integration by Monte Carlo methods of multi-dimensional integrals. Material covered by chapter 11. Project 3 will also be discussed. We then move into a discussion of random numbers and errors in Monte Carlo calculations, discussing a topic like the covariance and the variance.
This week (on Wednesday) we will also start the discussion of Markov chains and random walks. We make the link between the diffusion equation and Markov chains and how to interpret the process towards equilibrium. Chapter 12 of lecture notes. |
| 15.10.2013 | MHJ | LFA | Random walks and Brownian motopn | This material is covered by chapter 12 of the lecture notes. |
| 17-18.10.2013 | HTI, ML and MHJ | FV329 | Project 3 | |
| 21.10.2013 | MHJ | LFA | Brownian motion and Markov chains | We discuss how Markov chains and Monte Carlo methods related to this. We need also to finish the discussion on Random number generators from last week. The material is covered by chapters 11.3 (RNG) and 12.2 and 12.3 (Markov chains). |
| 22.10.2013 | MHJ | LFA | Brownian motion and Markov chains | We continue the discussion of Markov chains and derive the Metropolis algorithm. |
| 24-25.10.2013 | HTI and ML | FV329 | Project 3 | |
| 28.10.2013 | MHJ | LFA | Metropolis algorithm and Statistical physics | We link the discussion of the Metropolis algorithm to simulations of phase transitions in physics and chemistry. Chapters 12.5 and 13. |
| 29.10.2013 | MHJ | LFA | Statistical physics | We continue our discussion of simulation of phase transitions in statistical physics |
| 31.10.2013 | HTI, ML and MHJ | FV329 | Project 4 | |
| 04.11.2013 | MHJ | LFA | Conclusion of the Monte Carlo discussion and begin ordinary differential equations | Chapter 8 of lecture notes, repetition of Euler's method and fourth-order Runge-Kutta. Adaptive step-size algorithms and distinction between stiff and non-stiff equations.
We conclude our discussion of Monte Carlo methods with examples from variational quantum mechanics as well and a small discussion of project 4. |
| 05.11.2013 | MHJ | LFA | Ordinary differential equations and Partial differential equations | For the ordinary differential equations the material is covered by chapters 8 and 9. Chapters 10.1 and 10.2 cover the diffusion equation. |
| 07-08.11.2013 | HTI, ML and MHJ | FV329 | Project 4 | |
| 11.11.2013 | MHJ | LFA | Partial differential equations | Chapters 10.1 and 10.2, emphasis on the diffusion equation. |
| 12.11.2013 | MHJ | LFA | Partial differential equations | We continue the discussion of the diffusion equation from chapters 10.2 and 10.3. We present also the last project. This project will be weighted by 50% for the final mark. There will be three different projects and these will be discussed during the last weeks of the semester.
During this specific lecture, the emphasis will be on the diffusion project. |
| 14-15.11.2013 | HTI, ML and MHJ | FV329 | Project 5 | |
| 18.11.2013 | MHJ | LFA | Partial differential equations and project discussion | Chapter 10.4, how to use iterative methods like Gauss-Seidel and similar methods. We discuss also how to parallelize the diffusion equation and show examples of applications. We discuss also the Poisson equation.
The projects are also discussed.
|
| 19.11.2013 | MHJ | LFA | Partial differential equations, wave equation | We continue the discussion on the wave equation, with examples on how it can be parallelized.
We discuss also the projects. |
| 21-22.11.2013 | HTI, ML and MHJ | FV329 | Project 5 | |
| 25.11.2013 | MHJ | LFA | Last lectures on differential equations | We summarize what has been done in the differential equation part of the course, both ordinary differential equations and partial differential equations. |
| 26.11.2013 | MHJ | LFA | Last lecture and summary of course | We discuss in more detail the final requirements and the syllabus (pensum) relevant for the written exam. The projects are also discussed. Thursday the 29th and Friday the 30th are the last days at the lab. The deadline for the projects is set to December 10 at noon. There are no possibilities for extensions. |
| 28-29.11.2013 | All | FV329 | Project 5 | |
| xx.12.2013 | Date not yet fixed | Final exam | Best wishes!! |
Teaching plan
Published July 16, 2013 11:33 AM
- Last modified Sep. 8, 2013 10:08 PM