21. Modern solutions use either discrete-ordinates or Monte Carlo methods , or even a hybrid of both. 22. This motivates the reason for the Ising Model to be simulated using Monte Carlo Methods . 23. Hence, the Monte Carlo method and the quasi-Monte Carlo method are beneficial in these situations. 24. Also used in Monte Carlo method for photon transport. 25. Hence, the Monte Carlo method and the quasi-Monte Carlo method are beneficial in these situations. 26. Polymer brushes have been modeled with Monte Carlo methods , Brownian dynamics simulations, and molecular theories. 27. BAli-Phy uses Markov chain Monte Carlo methods for estimation. 28. Mathematics used in rendering includes : linear algebra, calculus, signal processing, and Monte Carlo methods . 29. Morokoff and Caflisch studied the performance of Monte Carlo and quasi-Monte Carlo methods for integration. 30. Traditional counting methods have proven unsuccessful, statistical analysis using the Monte Carlo method has been applied.