Pawlush, Derek
(2019)
XPPWeb: Porting XPP to the Web.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
Ordinary differential equations (ODEs) arise in many areas of mathematics, especially in mathematical modeling and engineering problems. Naturally, solving these types of problems is of great interest due to the practical implications involved. Solving a system of ODEs is often very complicated and in a multitude of instances there is no explicit solution to the system. However, by coupling numerical methods to solve a system of ODEs and dynamical systems techniques centered around visualization, we may gain a meaningful understanding of how the system behaves. XPP is a native software for numerically solving and plotting differential equations. The aim of this project is to extend XPP and create a web application, XPPWeb, with an emphasis on an intuitive user interface and robust plotting features. Case studies of relevant and interesting systems of equations are also included to exhibit the capabilities of XPPWeb. The application will be accessible at https://xppweb.math.pitt.edu/.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
|
| Date: |
30 January 2019 |
| Date Type: |
Publication |
| Defense Date: |
6 December 2018 |
| Approval Date: |
30 January 2019 |
| Submission Date: |
4 December 2018 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Number of Pages: |
27 |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Applied Mathematics |
| Degree: |
MS - Master of Science |
| Thesis Type: |
Master's Thesis |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
XPPWeb |
| Date Deposited: |
30 Jan 2019 20:40 |
| Last Modified: |
30 Jan 2019 20:40 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/35700 |
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