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Computations on Parameterized Surfaces with Chebfun2

Abstract Chebfun is a collection of algorithms and an open-source software system in object-oriented Matlab that extends familiar powerful methods of numerical computation involving numbers to continuous or piecewise-continuous functions. The success of this strategy is based on the mathematical fact that smooth functions can be represented very efficiently by polynomial interpolation at Chebyshev points or by trigonometric interpolation at equispaced points for periodic functions. More recently, the system has been extended to handle bivariate functions and vector fields. These two new classes of objects are called Chebfun2 and Chebfun2v, respectively. We will show that Chebfun2 and Chebfun2v, and can be used to accurately and efficiently perform v... (more)
Created Date 2016-05
Contributor Page-Bottorff, Courtney Michelle (Author) / Platte, Rodrigo (Thesis Director) / Kostelich, Eric (Committee Member) / School of Mathematical and Statistical Sciences / Barrett, The Honors College
Subject Chebfun2 / Parameterized Surfaces / Mean Curvature Flow / Trigfun / Chebfun / Applied Mathematics / Matlab
Series Academic Year 2015-2016
Type Text
Extent 32 pages
Language English
Reuse Permissions All Rights Reserved
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS

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