S = | L(t,t') dt = ∑_{i=1,N} (x_{i+1} - x_{i} )^{2}/a + a x_{i}^{2}, |
Java Virtual Matchine compiles "on-fly" simple applications, therefore e.g. the Mandelbrot set applet is only 25% slower than the corresponding C program (results may depend on chips and JVMs). The PIMC applet above makes every "Step" 10^{6} MC iterations for T=0.65 sec on Athlon1500+ and IE6 (you can see your time in the Status bar).
[1] M.Creutz, B.A.Freedman "A statistical approach to
quantum mechanics"
Annals of Physics 1981, 132, 427
[2] Richard MacKenzie "Path Integral Methods and Applications"
arXiv:quant-ph/0004090
[3] Tilman Sauer "The Feynman Path Goes Monte Carlo"
arXiv:physics/0107010