Introduction to Computational Physics

Syllabus

• Overview of general-purpose programming languages: Fortran, C, C++, Python
• Programing basics: variables, control flow, data objects, algorithms
• Overview of interpreted languages: Matlab, Mathematica
• Numerics: accuracy, precision, stability, bottlenecks, computer structure
• Numerical differentiation and integration; Runge Kutta methods
• Interpolation and extrapolation: polynomial, spline, Laplace
• Minimization and maximization: Brent, Newton, simulated annealing
• Statistical description of data: modeling, comparing distributions
• Monte Carlo simulations
• (Time permitting) Ordinary differential equations: finite differences, shooting, relaxation
• (Time permitting) Partial differential equations: reduction, relaxation, multi-grid

Literature

• Numerical recipes, by William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery; Publisher: Cambridge University Press; 3 edition (September 10, 2007).
• Computational physics, by Morten Hjorth Jensen; Publisher: CreateSpace Independent Publishing Platform (January 12, 2015)
• A survey of computational physics, by Rubin H. Landau, Jose Paez, Cristian C. Bordeianu; Publisher: Princeton University Press; Har/Cdr edition (July 21, 2008)

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