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A lot of discrete approximation schemes for stochastic differential equations with regard to mean-square sense were proposed. Numerical experiments for these schemes can be seen in some papers, but the efficiency of scheme with respect to its order has not been revealed. We will propose another type of error analysis. Also we will show results of simulation… (More)

- Kuniyoshi Abe, Shao-Liang Zhang, Taketomo Mitsui, Cheng-Hai Jin
- Numerical Algorithms
- 2004

For singular linear systems A x=b, ORTHOMIN(2) is known theoretically to attain the minimum residual min x∈R n‖b−A x‖2 under a certain condition. However, in the actual computation with finite precision arithmetic, the residual is often observed to be reduced further than the theoretically expected level. Therefore, we propose a variant of ORTHOMIN(2),… (More)

- Biao Yang, Nobuyuki Esaki, Taketomo Mitsui
- Int. J. Comput. Math.
- 2000

- Lin QIU, Taketomo MITSUI
- 2002

Numerical stability is considered for several Runge-Kutta methods to systems of neutral delay differential equations. The linear stability analysis is adopted to the system. Adapted with the equistage interpolation process as well as the continuous extension, the Runge-Kutta methods are shown to have the numerical stability similar to the analytical… (More)

- Bao-Feng Feng, Takuji Kawahara, Taketomo Mitsui, Youn-Sha Chan
- Int. J. Math. Mathematical Sciences
- 2005

We study the solitary waves and their interaction for a six-order generalized Boussinesq equation (SGBE) both numerically and analytically. A shooting method with appropriate initial conditions, based on the phase plane analysis around the equilibrium point, is used to construct the solitary-wave solutions for this nonintegrable equation. A symmetric… (More)

- Qian Guo, Mingming Qiu, Taketomo Mitsui
- J. Computational Applied Mathematics
- 2016

- Guang-Da Hu, Taketomo Mitsui
- Kybernetika
- 2012

Bounds of the matrix eigenvalues and its exponential by Lyapunov equation Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and… (More)

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