Linear multistep approximation of nonsymmetric rotating systems
Reference:
Hill, A., 2009. Linear multistep approximation of nonsymmetric rotating systems. JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics, 4 (1-2), pp. 103-112.
Related documents:
This repository does not currently have the full-text of this item.You may be able to access a copy if URLs are provided below. (Contact Author)
Abstract
This paper considers the stability of one-leg linear multistep methods applied to linear nonautonomous systems of equations, in which the governing matrix is nonsymmetric and is subject to a constant rotation. It is shown that the stability of the underlying system and of the one--leg methods may be analysed using eigenvalues, following a transformation to a rotating frame. For 2-dimensional systems, general conditions for numerical instability are derived. Stable systems are constructed that are unstable for the Backward Euler and BDF2 methods. A family of neutrally stable systems is identified that is numerically unstable for the BDF3 and BDF4 methods, for all sufficiently small step sizes.
Details
| Item Type | Articles |
| Creators | Hill, A. |
| Departments | Faculty of Science > Mathematical Sciences |
| Research Centres | Centre for Action Research in Professional Practice (CARPP) Bath Institute of Medical Engineering (BIME) Bath Institute for Complex Systems (BICS) Bath Economics Research |
| Refereed | Yes |
| Status | Published |
| ID Code | 26809 |
Export
Actions (login required)
| View Item |
