Article ID: | iaor201113500 |
Volume: | 59 |
Issue: | 1 |
Start Page Number: | 147 |
End Page Number: | 159 |
Publication Date: | Jan 2012 |
Journal: | Numerical Algorithms |
Authors: | Li Jianping, Wang Pengfei, Li Qian |
Keywords: | uncertainty |
The computational uncertainty principle (CUP) is applied to explain the experimental formulae of the critical time of decoupling for Lorenz equations (LEs). We apply the multiple precision (MP) library in obtaining the long‐time solution of LEs, and based on the classic Taylor scheme, we developed a high‐performance parallel Taylor solver to do the computation. The new solver is several hundreds times faster than the reported solvers developed in MATHEMATICA software, and it has the ability to yield longer solutions of LEs, up to