Physics 581: Winter 2015 Dr. Rachid Ouyed http://quarknova.ucalgary.ca e-mail: rouyed@ucalgary.ca phone: 403-210-8418 room SB 515 office hours: Tuesdays&Thursdays --> 10:00am-11:00am Main webpage for lecture notes: Phys 581/ r. ouyed http://www.pjl.ucalgary.ca/courses/physics581.html Important note: these lecture notes will be available on-line. They do not contain everything that has been or will be presented during the lectures. It is important that r. ouyed/ phys481 you also make your own notes during the lectures. 1 General information: weekly dates Schedule: Lectures&Labs are on Tuesdays & Thursdays 11:00-13:30 in ST 026 Phys 581/ r. ouyed Start of lectures/labs: Tuesday, Jan. 13 End of lectures: Thursday, Apr. 14 Labs: start Thursday, Jan. 15 See course outline r. ouyed/ phys481 2 Phys581: Important Dates Midterm: Presentations Last Week of Class: Final: Take Home Exam Phys 581/ r. ouyed Reading days/week : Feb. 15-22 Attendance at the exams (if in class) is absolutely mandatory. Always check the course URL http://www.pjl.ucalgary.ca/courses/physics581.html r. ouyed/ phys481 3 Phys 581: Textbook Textbook: Ouyed&Dobler (2010), Computational Physics (1st Ed.) For Physics 581: Phys 581/ r. ouyed Chapter 9: Random Numbers and Monte Carlo Methods Chapter 10: Optimization Chapter 11: Fourier Analysis Chapter 12: Partial Differential Equations and Fluid Dynamics Can be donwloaded @ http://www.pjl.ucalgary.ca/courses/physics581.html r. ouyed/ phys481 4 Phys 581: Content Monte-Carlo methods and statistical techniques : .Random numbers, probability distributions. .Markov-chain Monte Carlo methods, Metropolis-Hastings algorithm. .Examples: Ising model, random walks. .Bayesian inference, Hypothesis testing. 1/3 Fourier methods and signal processing : .Fast Fourier transform, sampling theorem, windowing. .Correlation, autocorrelation, power spectrum estimation. .Time-frequency methods: Detection of signals of known shape in noisy data. .Matched filtering: Detection of signals of known shape in noisy data. 1/3 Ordinary differential equations (ODEs; continued from phys481) : Phys 581/ r. ouyed .Finite differencing, convergence, error estimates, Richardson extrapolation. .Stochastic and chaotic ODEs: Langevin equation, Lorenz equations. Partial differential equations (PDEs) : .Stability analysis, well-posedness .Hyperbolic PDEs: Wave equation .Elliptic PDEs: Poisson’s equation. .Parabolic PDEs: Heat equation. r. ouyed/ phys481 1/3 5 Phys 581: Marking & Exams ~11-12 weeks course: Phys 581/ r. ouyed The total marks are calculated as follows: Assignments/Labs (~2/3) Presentations (30 minutes) Final Exam (Take Home) r. ouyed/ phys481 (30%/30%) 60% 10% 30% 6 Phys 581: Labs&Assignments Assigns. (30%) & Labs (30%) Your report in PDF format should summarize your findings, and should include a copy of your code (use the Latex command [\begin{verbatim}..\end{verbatim}]) and its output. You should also review your results in a discussion section. Phys 581/ r. ouyed Lab 1 (due Feb. 12) Lab 2 (due Mar. 12) Lab 3 (due Apr. 12) Assgn 1 (due Feb. 15) Assgn 2 (due Mar. 15) : Chapter 9&10 (MC Methods) : Chapter 11 (Fourier Analysis) : Chapter 12 (PDEs/Fluids) : Chapter 9&10 (MC Methods) : Chapter 11 (Fourier Analysis) Midterm (presentations): Continuous (30 minutes presentations !) *Delays: a 10% penalty per day r. ouyed/ phys481 7 Phys 581: Tools EMACS ADDITIONAL TOOL: MATHEMATICA (?) Phys 581/ r. ouyed GNUPLOT (& Scripts) Myfile.gp FORTRAN 90 (& Makefiles) Myfile.f90 LATEX (& AucTex) Myfile.tex r. ouyed/ phys481 8 Phys 581 (F95 routines) Fortran 95 Numerical Recipes Phys 581/ r. ouyed http://apps.nrbook.com/fortran/index.html r. ouyed/ phys481 9 Phys 581 (F95 routines) Phys 581/ r. ouyed Sections r. ouyed/ phys481 10 Phys 581: by the end of the course Phys 581/ r. ouyed What can you do with Phys 581? r. ouyed/ phys481 11 Phys 581 Phys 581/ r. ouyed Phys 381&481: a reminder r. ouyed/ phys481 12 Phys 581 Phys 581: Applications Phys 581/ r. ouyed Stay tuned ! r. ouyed/ phys481 13
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