Computation and Visualization of Geometric Partial Differential Equations

Christopher Tiee

ISBN 10: 1329440730 / ISBN 13: 9781329440739

Published by Lulu.com, 2015

About this Item

Computation and Visualization of Geometric Partial Differential Equations | Christopher Tiee | Buch | Gebunden | Englisch | 2015 | [.] | EAN 9781329440739 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.

Seller Inventory # 126196940

Bibliographic Details

• Title: Computation and Visualization of Geometric Partial Differential Equations
• Publisher: Lulu.com
• Publication Date: 2015
• Language: English
• ISBN 10: 1329440730
• ISBN 13: 9781329440739
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 21D millimeters 235 millimeters width by 157 millimeters height by 21 millimeters depth
• Weight: 591 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.