Date of Award

5-2012

Degree Type

Masters Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Committee Chair

James Lambers

Committee Chair Department

Mathematics

Committee Member 2

Huiqing Zhu

Committee Member 2 Department

Mathematics

Committee Member 3

Haiyan Tian

Committee Member 3 Department

Mathematics

Abstract

We explore the possibility of improving the accuracy of approximations of elements of exponentials of differential operators, by using a rational function, instead of a polynomial function, as the interpolating function. Since a rational function behaves more like a decaying exponential function, it seems logical that the approximation should be more accurate. Through the use of high accuracy rational interpolants, we experiment with a numerical integration method to determine explicitly whether the error produced by a rational type approximation will indeed be less than that produced by a polynomial type approximation.

Included in

Mathematics Commons

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