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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