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Computational Methods in Condensed Matter Physics - PHYS 790A - Spring 2014


Class meetings:
Tuesdays & Thursdays, 15:30-16:45 in the computer lab (Faraday West 233) or Faraday West 227, starting 2014-01-14 (in Faraday West 227)

Instructor: Professor A. Glatz
Office: 217 La Tourette

Office hours: Tuesdays & Thursdays, 14:00-15:00, or by appointment (just send an email).

Grading: Weighted according to 35% homework, 20% lecture attendence, 20% midterm exam, and 25% final project.

Midterm exam: Thursday, February 27, 2014, 15:30-16:45.
Final project report: due before Tuesday, May 6, 2014, 15:00.
(will be assigned in the first half of April.)

Syllabus: PDF



Lectures

date
OverviewPDF2014-01-14
Lecture 1
Floating point arithmetic, Round-off errors, Summation
PDF
+ demo code: geometric series
+ demo code: Kahan summation
2014-01-14
Lecture 2
Linear systems
PDF2014-01-16
Lecture 3
numerical integration, root finding
PDF
+ demo code: numerical integration
2014-01-21
Lecture 4
Explicit and implicit PDE discretization, Numerical stability
PDF
+ demo code: numerical differentiation
2014-01-30
Lecture 5
Data analysis, Random Generators
PDF
+ demo code: ramdom numbers
2014-02-04
Lecture 6
Monte Carlo Methods
PDF
+ demo code: pi MC calculation
2014-02-06
Lecture 7
Ising Model - Monte Carlo
PDF2014-02-11
Lecture 8
ODEs, single particle dynamics
PDF2014-03-18
Lecture 9
Introduction to GPGPU computing
PDF2014-03-25
Lecture 10
Molecular Dynamics
PDF2014-04-10
Lecture 11
Complex Ginzburg-Landau equation
PDF2014-04-22




Homework

due
Assignment 1PDF
+ Gauss elimination template code (*)
2014-02-13
Assignment 2PDF
+ Monte Carlo Ising template code (*)
2013-03-18
Assignment 3PDF
+ CUDA CGL template code (*)
see result for d)
2013-04-28
(*) optional codes, which can be used for the programming assignments.



Final Projects

To be presented on May 6th, 2014 at 15:30 in the conference room. Please prepare a 5-10minutes presentation.
title
Project 1PDFAbrikosov vortex lattice in Ginzburg-Landau theory
Project 2PDFMonte Carlo study of a 2D Heisenberg model
Project 3PDFLangevin dynamics and critical depinning of a vortex line
Project 4PDFShallow water fluid dynamics




Literature suggestions

see syllabus

additional online resources: