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Computation and Visualization of Geometric Partial Differential Equations by Christopher Tiee

Computation and Visualization of Geometric Partial Differential Equations

by Christopher Tiee
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Book cover type: Hardcover
  • ISBN13: 9781329440739
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Lulu.com
  • Publisher Imprint: Lulu.com
  • Publication Date:
  • Pages: 302
  • Original Price: GBP 27.26
  • Language: English
  • Edition: N/A
  • Item Weight: 572 grams
  • BISAC Subject(s): Engineering (General)

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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