Abstract
Using W-transformation of Hairre and Wanner, high-order implicit Runge-Kutta (RK) methods based on Lobatto quadrature are studied. Methods constructed and presented include and extend the existing Lobatto III type RK methods. Two to four stages general Lobatto III methods with three parameters α, β, γ are constructed , and a particular one-parameter family Lobatto III C(γ) method is also presented. © 2005 Taylor & Francis Ltd.
| Original language | English |
|---|---|
| Pages (from-to) | 77-88 |
| Journal | International Journal of Computer Mathematics |
| Volume | 82 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2005 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 7 Affordable and Clean Energy
Research Keywords
- A-stability
- L-stability
- Lobatto quadrature
- Runge-Kutta method
- Stiff accuracy
- Symplectic
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