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Integration processes of ordinary differential equations based on Laguerre-Radau interpolations |
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| Authors: | Ben-Yu Guo Zhong-Qing Wang Hong-Jiong Tian Li-Lian Wang |
| Institution: | Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People's Republic of China, Division of Computational Science of E-institute of Shanghai Universities ; Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People's Republic of China, Division of Computational Science of E-institute of Shanghai Universities ; Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People's Republic of China, Division of Computational Science of E-institute of Shanghai Universities ; Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 639798 |
| Abstract: | In this paper, we propose two integration processes for ordinary differential equations based on modified Laguerre-Radau interpolations, which are very efficient for long-time numerical simulations of dynamical systems. The global convergence of proposed algorithms are proved. Numerical results demonstrate the spectral accuracy of these new approaches and coincide well with theoretical analysis. |
| Keywords: | Numerical integrations ordinary differential equations modified Laguerre-Radau interpolations |
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