Gear method fortran6/14/2023 ![]() In this thesis, we consider methods designed specifically to integrate multirate systems. Moreover, since the time required for integration increase with the accuracy obtained and with the number of components being integrated, tracking the slower components so closely is also very inefficient. If the fast components of the solution are not strongly dependent on the slower, this additional accuracy is more ยป unnecessary. If the dependence of the slower components of the system on those which are faster is small, typically this results in the slower components of the computed solution being accurate to several more digits than the user requires (see Table 1.1). If a multirate initial value problem is solved using an ODE solver which is based on linear multistep methods, the local stepsize is selected to track the fastest component of the solution to within the error tolerance specified by the user.
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