{"product_id":"computation-and-visualization-of-geometric-partial-differential-equations-9781329440739","title":"Computation and Visualization of Geometric Partial Differential Equations","description":"\u003cp\u003e • Author(s): Christopher Tiee\u003cbr\u003e • Publisher: Lulu.com\u003cbr\u003e • Publisher Imprint: Lulu.com\u003cbr\u003e • BISAC: Engineering (General)\u003c\/p\u003e\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":"Atlantic Books","offers":[{"title":"Hardcover","offer_id":46485710405783,"sku":"9781329440739","price":3101.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781329440739.jpg?v=1766327828","url":"https:\/\/atlanticbooks.com\/products\/computation-and-visualization-of-geometric-partial-differential-equations-9781329440739","provider":"Atlantic Books","version":"1.0","type":"link"}