Date of Award
Spring 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.
Copyright
2012, Daniel Elwood Lanterman
Recommended Citation
Lanterman, Daniel Elwood, "Approximation of Elements of Exponentials of Differential Operators With Rational Quadrature" (2012). Master's Theses. 387.
https://aquila.usm.edu/masters_theses/387