Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations

• Main Author: Din, Ummul Khair Salma
• Format: Thesis
• Language: English; English
• Published: 2009
• Subjects: Differential equations - Numerical solutions; Runge-Kutta formulas
• Online Access: http://psasir.upm.edu.my/id/eprint/11983/1/FS_2009_46.pdf; http://psasir.upm.edu.my/id/eprint/11983/

This thesis focuses on the derivations of diagonally implicit Runge-Kutta (DIRK) methods with the capability to be implemented by parallel executions. A few new methods are proposed by having sparsity patterns which enable the parallelization of methods. In the first part of the thesis, a fifth o...