A new family of coupled time integration operators of different orders is developed. It permits different time integration operators to be used simultaneously in various regions of the model. This approach has the advantage of applying a very accurate time integrator, such as Runge Kutta method of order two to four, to the local nonlinear region of interest and a simple time integrator, such as the implicit–explicit or mixed time implicit–explicit method of order one, for the remaining region. The computer implementation aspects, stability analysis as well as the numerical evaluations of these new methods are presented. This is another attractive addition to the repertoire of time integration methods.
|Original language||English (US)|
|Number of pages||17|
|Journal||International Journal for Numerical Methods in Engineering|
|State||Published - Jan 1 1984|
ASJC Scopus subject areas
- Numerical Analysis
- Applied Mathematics