A class of implicit-explicit two-step Runge-Kutta methods
2012) A class of implicit-explicit two-step Runge-Kutta methods. Technical Report TR-12-08, Computer Science, Virginia Tech. (
This work develops implicit-explicit time integrators based on two-step Runge-Kutta methods. The class of schemes of interest is characterized by linear invariant preservation and high stage orders. Theoretical consistency and stability analyses are performed to reveal the properties of these methods. The new framework offers extreme flexibility in the construction of partitioned integrators, since no coupling conditions are necessary. Moreover, the methods are not plagued by severe order reduction, due to their high stage orders. Two practical schemes of orders four and six are constructed, and are used to solve several test problems. Numerical results confirm the theoretical findings.
|Item Type:||Departmental Technical Report|
|Keywords:||Implicit-explicit methods, two step Runge Kutta, order reduction|
|Subjects:||Computer Science > Numerical Analysis|
|Deposited By:||Sandu, Dr Adrian|
|Deposited On:||31 January 2013|