Computation and Visualization of Geometric Partial Differential Equations
Christopher Tiee
ISBN 10: 1329440730 ISBN 13: 9781329440739
Published by Christopher Tiee, 2015
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Hardcover
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Ria Christie Collections, Uxbridge, United Kingdom
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About this Item
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In. Seller Inventory # ria9781329440739_new
Synopsis:
This is an extended version of my PhD thesis which extends the theory of finite element exterior calculus (FEEC) to parabolic evolution equations. In the extended version, I explore some more precise visualizations of the defined quantities, as well as explain how the modern theory of functional analysis applies. In the main part, I extend the theory of approximating evolution equations in Euclidean space (using FEEC) to hypersurfaces. After these main results, I describe some possible extensions to nonlinear equations. A few appendices detail one of the original motivations for getting into this theory in the first place: canonical geometries given as steady state solutions and extremals of certain functionals.
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Bibliographic Details
Title: Computation and Visualization of Geometric ...
Publisher: Christopher Tiee
Publication Date: 2015
Binding: Hardcover
Condition: New