{"product_id":"computation-and-visualization-of-geometric-partial-differential-e","title":"Computation and Visualization of Geometric Partial Differential E","description":"\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"BooksWholesale","offers":[{"title":"Hardcover","offer_id":44598028730529,"sku":"9781329440739","price":54.84,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0462\/1120\/3233\/files\/14rmz67n-front-shortedge-384_40818843-4be5-4b39-a7c6-7d25f2049f43.jpg?v=1725406789","url":"https:\/\/bookswholesale.myshopify.com\/products\/computation-and-visualization-of-geometric-partial-differential-e","provider":"BooksWholesale","version":"1.0","type":"link"}