期刊文献+

半直线上修正的Jacobi有理谱方法(英文)

A modified Jacobi rational spectral method on the half line
下载PDF
导出
摘要 研究了半直线上修正的Jacobi有理函数正交系,建立了在金融数学中经常应用的Black-Scholes模型的有理谱格式.数值结果说明了这种方法的有效性. We introduce a modified orthogonal system of Jacobi rational functions on the half line. The rational spectral scheme is proposed for Black-Scholes model appearing frequently in financial mathematics. Numerical results demonstrate the efficiency of this new approach.
作者 裔勇刚
出处 《上海师范大学学报(自然科学版)》 2009年第4期342-346,共5页 Journal of Shanghai Normal University(Natural Sciences)
基金 Supported by the NSF of China(10871131).
关键词 Jacobi有理谱方法 半直线 新正交系 应用 Jacobi rational spectral method on the half line new orthogonal system application
  • 相关文献

参考文献1

二级参考文献6

  • 1Black F,Scholes M.The pricing of options and corporate liabilities[].Journal of Political Economy.1973
  • 2Wilmott P,Howison S,Dewynne J.Option pricing: mathematical models and computation[]..1993
  • 3Wang Q Q,Guo B Y.A rational approximation and its application to nonlinear differential equations on the whole line[].Journal of Mathematical Analysis and Applications.2002
  • 4Bergh J,Lofstrom J.Interpolation spaces, an introduction[]..1976
  • 5Christov C I.A complete orthogonal system of functions in L2(-∞,∞) space[].SIAM Journal on Applied Mathematics.1982
  • 6Boyd J P.Spectral method using rational basis functions on an infinite interval[].Journal of Computational Physics.1987

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部