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University of Southern Mississippi
Approximation of Elements of Exponentials of Differential Operators With Rational Quadrature
Abstract
dc:description.abstract<p>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.</p>
Degree
thesis:*- Name thesis:degree_name
- Master of Science (MS)
- Level thesis:degree_level
- Masters Thesis
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 2012
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Lanterman, Daniel Elwood
- Contributors dc:contributor
-
- James Lambers
- Huiqing Zhu
- Haiyan Tian
Subjects
dc:subject × 2Identifiers
dc:identifier.*- Repository record dc:identifier
- https://aquila.usm.edu/masters_theses/387
- OAI identifier oai:identifier
- oai:aquila.usm.edu:masters_theses-1457