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Laguerre and composite Legendre-Laguerre Dual-Petrov-Galerkin methods for third-order equations
Revisiting the slow manifold of the Lorenz-Krishnamurthy quintet
| 1. | Department of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal, India |
| 2. | Center for Atmospheric and Oceanic Sciences, Indian Institute of Science, Bangalore 560 012, India |
| 3. | TIFR Centre, Indian Institute of Science, Bangalore 560 012, India |
Minimization of evolution rate does not guarantee the invariance of the manifold. Using a locally linear approximate reduction scheme, the invariance can be maintained. However, the solutions so obtained do develop high frequency oscillations. The onset of these high frequency oscillations is delayed vis-a-vis other previous studies. These methods have potential to be used in improving the predictions of weather systems.
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