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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.
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Senior Presentations Archive
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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!
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2017 -
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Wagner College, Staten Island, NY
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2020
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Mendi, Markel Landa
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5/1/2020
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Comparing Approximation Methods for Ordinary Differential Equations
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Computer Science (Mathematics)
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text
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1 page
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eng
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Wagner College, Staten Island, NY
Computer Science
Mathematics