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Outline. MotivationResourcesNumbers and numeralsSolving nonlinear equationsOrdinary differential equations. Motivation. AlgorithmsUnderstand programs like Matlab which just
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1. Introduction toPhysics Computing HT 2008
Lecture 3
Numerical aspects of computing
2. Outline Motivation
Resources
Numbers and numerals
Solving nonlinear equations
Ordinary differential equations
3. Motivation Algorithms
Understand programs like Matlab which just “do it”
Solve problems with no analytic solution
Match computing realities with calculations in principle
Formerly: real time savers when a “computer” was a person
4. Resources My main resource: R.L. Burden, J.D. Faires, Numerical Methods, 3rd ed., Boston: Prindle, Weber & Schmidt, 1985.
More mathematical: S.D. Conte, Carl de Boor, Elementary Numerical Analysis: An Algorithmic Approach, New York: McGraw-Hill, 1980.
Koonin and Meredith, Computational Physics
Veterling, Numerical Recipes
S17 webpage: http://www-pnp.physics.ox.ac.uk/~tseng/teaching/s17/
Interactive Educational Modules in Scientific Computing, http://www.cse.uiuc.edu/iem/
Kalos and Whitlock, Monte Carlo Methods, vol. 1.
Luc Devroye, Non-Uniform Random Variate Generation http://cg.scs.carleton.ca/~luc/rnbookindex.html