Jump to ContentJump to Main Navigation
Numerical Methods for Nonlinear Elliptic Differential EquationsA Synopsis$
Users without a subscription are not able to see the full content.

Klaus Boehmer

Print publication date: 2010

Print ISBN-13: 9780199577040

Published to Oxford Scholarship Online: January 2011

DOI: 10.1093/acprof:oso/9780199577040.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 13 December 2019

From linear to nonlinear equations, fundamental results

From linear to nonlinear equations, fundamental results

(p.3) 1 From linear to nonlinear equations, fundamental results
Numerical Methods for Nonlinear Elliptic Differential Equations

Klaus Böhmer

Oxford University Press

Chapter 1 demonstrates, for the simple mechanical example of a bent rod, the change in character from linear to nonlinear regimes. This is followed by several examples for different types of nonlinear elliptic differential equations in mathematics, science and in engineering, e.g. the Monge‐Ampère, the reaction‐diffusion, the von Kármán and the Navièr‐Stokes equations. These problems require appropriate analytical results for (space‐) discretization methods. The necessary tools from functional analysis and calculus in Banach spaces are summarized.

Keywords:   linear regimes, nonlinear regimes, Monge‐Ampère, reaction‐diffusion, von Kármán equations, Navièr-Stokes equations, basic functional analysis, Banach spaces

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .