| Here we try to deal with a special type of Jump Markov processes. These types of Markov Processes arise in modeling system of chemical reactions where the state of the system, that is the vector of number of molecules of the reactant species, is given by some SDE, which we call the "exact equation". There are algorithms to simulate from the exact equation but for a large system they are quite slow. So people try to bring in some approximations to the exact equation and developed some faster simulation schemes called "Tau Leap method", and the "The Midpoint Method". I will discuss these two methods in my talk, and the main goal is to try to analyze the error arising from these approximations and also to compare the accuracy of Tau Leap and
The Midpoint Method. |