https://d1y502jg6fpugt.cloudfront.net/1909/archive/files/ec9cfddda4ddbfa79506bacbac60963c.pdf?Expires=1779926400&Signature=n9nhrgujWpaqh7KjS%7ETy4wkXUGkn4xjobgQzQ5WqOU0FWBPHFFQqQRTS-X3atLeu5g-zq7hht8ZiDNcKW5jaA-xyL1tnty3NXdPF1nJqBQmqmydyDZ%7EUwFBX86GmsjwqNMvaA2M7YlW0cPYZ3RWaMMk-hWp3Fk8YbHw-9i9Mle8q3z8yx0ZpXpb%7EZ2V9g5YZ86o173-HM3iMnUat1vg4ZZgiCS%7EgFSkF4zRTDGcJiu51CgWjEA6sMFr%7EFvX9c4d3EQNby-VQIJSrxANrIuf1j-Rt2RFK5dqUvyPA3OchScq%7Ew8FaVPQV5siSVm9bv8HjRooJ-YmT8qdsMe%7EAGASdnQ__&Key-Pair-Id=K6UGZS9ZTDSZM aa417f6e2c6219d891d29231fcfd58e1 PDF Text Text Markel Landa Mendi CS 400: Thesis Comparing Approximation Methods for Ordinary Differential Equations Numerical Analysis is a branch of mathematics that deals with approximation of different types of function and equations. The goal is to get as close to the real solution as possible without actually getting there. Such methods are used in situations when, for example, getting the precise answer to a problem is not required or if we desire to get an idea of the projection the curve of a given function will take on a graph. With this in mind, some of the more challenging functions to approximate are those of differential equations. A differential equation is a mathematical equation that relates the variable or several variables of an unknown equation to its derivatives of various orders. In mathematical applications, the functions generally represent quantities of physical objects, the derivatives their rates of change and the differential equation defines the relationship between both. Such equations play a prominent role in engineering, economics, biology… where they are mainly used to model the behavior of complex systems. The three methods that I will be comparing in this paper are Euler, Higher Order Taylor Method and Runge-Kutta Method. � Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Senior Presentations Archive Description An account of the resource This archive contains materials from Wagner’s annual ‘Senior Presentations.’ This event honors outstanding students from each discipline who completed their Senior Learning Community project with excellence. The work is representative of Wagner’s highest standards, and is exemplary of the diversity of subject matter, public-facing scholarship, and civic-minded professionalism our students have attained through their four years here. These students were specially invited to present their work in a formal setting, traditionally the day of Baccalaureate. Students are encouraged to present their work in a format appropriate for their discipline, and so, the presentations vary in their format. Some might be in the form of a short video, or paper abstracts, while others might be posters or music clips. We expect this archive to serve as a resource for generations to come. Congratulations to our Seniors! Date A point or period of time associated with an event in the lifecycle of the resource 2017 - Rights Holder A person or organization owning or managing rights over the resource. Wagner College, Staten Island, NY Document A resource containing textual data. Note that facsimiles or images of texts are still of the genre text. Date Digital 2020 Original Format If the image is of an object, state the type of object, such as painting, sculpture, paper, photo, and additional data Abstract Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Identifier An unambiguous reference to the resource within a given context 2020-computer science-Mendi Creator An entity primarily responsible for making the resource Mendi, Markel Landa Date A point or period of time associated with an event in the lifecycle of the resource 5/1/2020 Title A name given to the resource Comparing Approximation Methods for Ordinary Differential Equations Contributor An entity responsible for making contributions to the resource Computer Science (Mathematics) Type The nature or genre of the resource text Format The file format, physical medium, or dimensions of the resource application/pdf Extent The size or duration of the resource. 1 page Language A language of the resource eng Rights Information about rights held in and over the resource U.S. and international copyright laws may protect this work. It is provided by Wagner College for scholarly or research purposes only. Commercial use or distribution is not permitted without prior permission of the copyright holder. Rights Holder A person or organization owning or managing rights over the resource. Wagner College, Staten Island, NY Computer Science Mathematics