On a High Order Numerical Method for Mathematical Models inFinancial Engineering

碩士 === 國立臺灣大學 === 數學研究所 === 100 === The aim of this thesis is to address some mathematical issues on the application of pseudo spectral method on several important models in financial engineering, such as scope of application, speed of convergence, numerical stability, etc. This method has been prov...

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Bibliographic Details
Main Authors: You-Gang Chen, 陳幼剛
Other Authors: Keh-Ming Shyue
Format: Others
Language:en_US
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/88505881659190792944
Description
Summary:碩士 === 國立臺灣大學 === 數學研究所 === 100 === The aim of this thesis is to address some mathematical issues on the application of pseudo spectral method on several important models in financial engineering, such as scope of application, speed of convergence, numerical stability, etc. This method has been proven superior with respect to the traditional ones especially for problems with special boundary conditions.