In this paper, we construct a new numerical algorithm for the partial differential equation of up-and-out put barrier options under CEV model. method, use Crank-Nicolson scheme to discrete temporal variables and cubic B-spline collocation method spatial variables. The is stable has second-order convergence both time space analysis proposed discussed in detail. Finally, examples verify stability...

Let V be a plane non–singular geometrically irreducible cubic curve over a finitely generated field k. The Mordell–Weil theorem for V can be restated in the following geometric form: there is a finite subset B ⊂ V (k) such that the whole V (k) can be obtained from B by drawing secants (and tangents) through pairs of previously constructed points and consecutively adding their new intersection p...

Cubic boron nitride is a promising system for photonics and optoelectronics. Determining the inclusion mechanisms for dopants with a large size mismatch, such as luminous rare-earth elements, is prerequisite to understanding their functional properties and to effective doping control. Combining evidence from subangstrom resolution scanning transmission electron microscopy, imaging simulations, ...

Based on the cubic B-spline curve, new Chinese fonts are generated by wavelet transforms in this paper. The outlines of Chinese fonts are first transformed into B-spline curves. Then, using wavelet transforms, the control points of each curve are decomposed into hierarchies containing the detailed features of the Chinese fonts. Using the synthesis procedure of wavelet transforms, new fonts can ...

A collocation method based on modified cubic B-spline functions has been developed for the valuation of European, American and barrier options of a single asset. The new approach contains discretization of temporal derivative using finite difference approximation of and approximating the option price with the modified B-spline functions. Stability of this method has been discussed and it is sho...

Based on the cubic B-spline curve, new Chinese fonts are generated by wavelet transforms in this paper. The outlines of Chinese fonts are first transformed into B-spline curves. Then, using wavelet transforms, the control points of each curve are decomposed into hierarchies containing the detailed features of the Chinese fonts. Using the synthesis procedure of wavelet transforms, new fonts can ...