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Computation and Visualization of Geometric Partial Differential Equations
- Item No : 167292684338
- Condition : Brand New
- Brand : No brand Info
- Seller : loveourprices2
- Current Bid : US $36.30
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* Item Description
- 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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