METHODS AND SYSTEMS TO CONTROL AN ADAPTIVE TIME-STEP

摘要

A method (and system) includes receiving a set of nonlinear algebraic equations for a system at a current time point, calculating a set of solutions to the set of nonlinear algebraic equations by using a first time step, and determining whether a maximum value of a local truncation error associated with a first solution of the set of solutions is greater than a threshold. Based on the maximum value of the local truncation error being greater than the threshold, the method includes iteratively calculating a coupled set of equations to generate a second time step so as to make a maximum value of local truncation error associated with a set of solutions to the coupled set of equations not greater than the threshold, wherein the coupled set of equations comprises the received set of nonlinear algebraic equations and a local truncation error equation corresponding to the first solution, with a time step that is an unknown variable in the coupled set of equations.