Computation and Visualization of Geometric Partial Differential Equations

Computation and Visualization of Geometric Partial Differential Equations
Author :
Publisher : Lulu.com
Total Pages : 304
Release :
ISBN-10 : 9781329440739
ISBN-13 : 1329440730
Rating : 4/5 (730 Downloads)

Book Synopsis Computation and Visualization of Geometric Partial Differential Equations by : Christopher Tiee

Download or read book Computation and Visualization of Geometric Partial Differential Equations written by Christopher Tiee and published by Lulu.com. This book was released on 2015-08-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Computation and Visualization of Geometric Partial Differential Equations Related Books

Computation and Visualization of Geometric Partial Differential Equations
Language: en
Pages: 304
Authors: Christopher Tiee
Categories: Technology & Engineering
Type: BOOK - Published: 2015-08-09 - Publisher: Lulu.com

GET EBOOK

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 extend
Computation and Visualization of Geometric Partial Differential Equations
Language: en
Pages: 334
Authors: Christopher L. Tiee
Categories:
Type: BOOK - Published: 2015 - Publisher:

GET EBOOK

The chief goal of this work is to explore a modern framework for the study and approximation of partial differential equations, recast common partial differenti
Geometric Partial Differential Equations
Language: en
Pages: 276
Authors: Antonin Chambolle
Categories: Mathematics
Type: BOOK - Published: 2014-01-17 - Publisher: Springer Science & Business Media

GET EBOOK

This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss
Differential Geometry: Partial Differential Equations on Manifolds
Language: en
Pages: 585
Authors: Robert Everist Greene
Categories: Mathematics
Type: BOOK - Published: 1993 - Publisher: American Mathematical Soc.

GET EBOOK

The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California,
Computational Partial Differential Equations
Language: en
Pages: 882
Authors: Hans P. Langtangen
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

The second edition features lots of improvements and new material. The most significant additions include - finite difference methods and implementations for a