Partitioning ordinary differential equations using Runge-Kutta methods
Two techniques for detecting stiffness when using Runge-Kutta type of methods are discussed and compared, and a partitioning strategy for first-order system of equations into stiff and nonstiff subsystems is proposed. A few problems are solved using three-stage semi-implicit Runge-Kutta method. Newt...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Elsevier
1996
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| Online Access: | http://psasir.upm.edu.my/id/eprint/41072/1/Partitioning%20ordinary%20differential%20equations%20using%20Runge-Kutta%20methods.pdf http://psasir.upm.edu.my/id/eprint/41072/7/1-s2.0-0096300395002472-main.pdf http://psasir.upm.edu.my/id/eprint/41072/ http://www.sciencedirect.com/science/article/pii/0096300395002472 |
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| Summary: | Two techniques for detecting stiffness when using Runge-Kutta type of methods are discussed and compared, and a partitioning strategy for first-order system of equations into stiff and nonstiff subsystems is proposed. A few problems are solved using three-stage semi-implicit Runge-Kutta method. Newton iteration is used for the stiff part and simple iteration for the nonstiff. Finally, numerical results based on different criteria to detect stiffness are compared. |
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