计算物理与教学教改

1、 计算物理与教学教改 1 2 2 1/2 11 ( )2 2 ( ) 2 11 2( ) 2 r r p r drn p EV r m m EV rdrn Physics 197. Computational Physics Methods and Applications The methods to be covered include: numerical differentiation and integration, solution of ordinary and partial differential equation, eigensystems, and stochastic

2、 approaches like Monte Carlo and genetic algorithms for statistical sampling and optimization of multi-variable systems. The emphasis is on developing the ability to handle both simple and complex physical systems which are analytically intractable. For Undergraduates and Graduates 113. Computationa

3、l PhysicsIntroduction to numerical methods for solving problems in mechanics, electromagnetism, quantum mechanics, and statistical mechanics. Methods include numerical integration; solutions of ordinary and partial differential equations; solutions of the diffusion equation, Laplaces equation and Po

4、issons equation with relaxation methods; statistical methods including Monte Carlo techniques; matrix methods and eigenvalue problems. Short introduction to MatLab, used for class examples; class projects may be programmed in any language, e.g., C. Prerequisites: 110, 121, and Mathematics 53 or 130.

5、 Previous programming experience not required. 3 units, Stanford University Undergraduate Degrees Programs x=0.6; u=2.6:0.001:4; for j=1:150, x=u.*(x-x.2); end for i=1:100 x=u.*(x-x.2); plot(u,x,r.,markersize,1) hold on; end 2 1 () nnn xxx 周期分岔, 混沌, Feigenbaum 常数 Logistic模型 (1) 2exf 5252 022f 10221023e minmax 3,4,3tee 1 22 ee x 52 2e 5216 22.2204 10 end 运行120秒 运行0.20秒秒 2 2 2 2 2 2 2 (1)sin cossin (2)cot sin sin(2)cot cos cot ddd d aabg dtdtdt dt dd da d d a dtdt dtdt dt dd dd d aa dtdt dtdt dt 实验实验 数值积分数值积分(用毕-沙定律,清华学生做) )cos( 3