Algebraic aspects of evolution partial differential equations arising in financial mathematics
Date
2010ISSN
1935-0090Source
Applied Mathematics and Information SciencesVolume
4Issue
3Pages
289-305Google Scholar check
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In the modelling of various financial instruments, risks, prices of commodities, etc., the end result is frequently an evolution partial differential equation. A remarkable number of these have rich algebraic structures. This richness facilitates the process of resolution of problems in an algorithmic fashion rather than the apparently 'seat-of-thepants' methods which abound in the literature. We illustrate the algebraic resolution of these problems with a number of examples. ©2010 Dixie W Publishing Corporation, U. S. A.