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Anglický jazyk
Computation and Visualization of Geometric Partial Differential Equations
Autor: Christopher Tiee
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... Viac o knihe
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O knihe
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.
- Vydavateľstvo: Lulu.com
- Rok vydania: 2015
- Formát: Hardback
- Rozmer: 235 x 157 mm
- Jazyk: Anglický jazyk
- ISBN: 9781329440739
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