Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Shu-Li Mei"'
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2020 (2020)
The approximation accuracy of the wavelet spectral method for the fractional PDEs is sensitive to the order of the fractional derivative and the boundary condition of the PDEs. In order to overcome the shortcoming, an interval Shannon-Cosine wavelet
Externí odkaz:
https://doaj.org/article/a111c21ad2594a1b970e97e3f6c7a180
Autor:
Shu-Li Mei, De-Hai Zhu
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
The Perona-Malik equation is a famous image edge-preserved denoising model, which is represented as a nonlinear 2-dimension partial differential equation. Based on the homotopy perturbation method (HPM) and the multiscale interpolation theory, a dyna
Externí odkaz:
https://doaj.org/article/be384b8799aa4f69b29c358f81d556ba
Autor:
Shu-Li Mei
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
Combining the variational iteration method (VIM) with the sparse grid theory, a dynamic sparse grid approach for nonlinear PDEs is proposed in this paper. In this method, a multilevel interpolation operator is constructed based on the sparse grids th
Externí odkaz:
https://doaj.org/article/f227249414bc4543a677d4384a955237
Autor:
Shu-Li Mei
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
Transforming the nonlinear Black-Scholes equation into the diffusion PDE by introducing the log transform of S and (T−t)→τ can provide the most stable platform within which option prices can be evaluated. The space jump that appeared in the tran
Externí odkaz:
https://doaj.org/article/a0ac4b23c15541ba882d8795125761f4
Autor:
Shu-Li Mei, De-Hai Zhu
Publikováno v:
Advances in Mathematical Physics, Vol 2013 (2013)
Metzler et al. introduced a fractional Fokker-Planck equation (FFPE) describing a subdiffusive behavior of a particle under the combined influence of external nonlinear force field and a Boltzmann thermal heat bath. In this paper, we present an inter
Externí odkaz:
https://doaj.org/article/e0023a54093542c78650c3a09ddd213b
Autor:
Shu-Li Mei
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
Based on the multilevel interpolation theory, we constructed a meshless adaptive multiscale interpolation operator (MAMIO) with the radial basis function. Using this operator, any nonlinear partial differential equations such as Burgers equation can
Externí odkaz:
https://doaj.org/article/82c54d7bc55f4b3abca5eb700145025c
Autor:
Shu-Li Mei
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
Based on the basic idea of the homotopy perturbation method which was proposed by Jihuan He, a target controllable image segmentation model and the corresponding multiscale wavelet numerical method are constructed. Using the novel model, we can get t
Externí odkaz:
https://doaj.org/article/399a1809d7b74d82b189053d34668071
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2020 (2020)
The approximation accuracy of the wavelet spectral method for the fractional PDEs is sensitive to the order of the fractional derivative and the boundary condition of the PDEs. In order to overcome the shortcoming, an interval Shannon-Cosine wavelet
Publikováno v:
Mathematical Problems in Engineering, Vol 2020 (2020)
A novel denoising method for removing mixed noise from locust slice images is proposed by means of Shannon-cosine wavelet and the nonlinear variational model for the image processing. This method includes two parts that are the sparse representation
Autor:
Kui Fu Chen1 chenkuifu@gmail.com, Shu Li Mei2
Publikováno v:
International Journal for Numerical Methods in Biomedical Engineering. Feb2011, Vol. 27 Issue 2, p273-282. 12p.