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{ "item_title" : "Computation and Visualization of Geometric Partial Differential Equations", "item_author" : [" Christopher Tiee "], "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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/1/32/944/073/1329440730_b.jpg", "price_data" : { "retail_price" : "36.54", "online_price" : "36.54", "our_price" : "36.54", "club_price" : "36.54", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Computation and Visualization of Geometric Partial Differential Equations|Christopher Tiee

Computation and Visualization of Geometric Partial Differential Equations

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Overview

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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Details

  • ISBN-13: 9781329440739
  • ISBN-10: 1329440730
  • Publisher: Lulu.com
  • Publish Date: August 2015
  • Dimensions: 9 x 6 x 0.69 inches
  • Shipping Weight: 1.26 pounds
  • Page Count: 302

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