Skip to main content
SpringerLink
Log in

Difference Equations from Differential Equations

  • Book
  • © 1989

Overview

Authors:
  1. Wilbert James Lick

    1. Dept. of Mechanical and Environmental Engineering, University of California, Santa Barbara, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Engineering (LNENG, volume 41)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages N1-X
    Download chapter PDF

  2. Ordinary Differential Equations

    • Wilbert James Lick
    Pages 1-72

  3. Parabolic Equations

    • Wilbert James Lick
    Pages 73-126

  4. Hyperbolic Equations

    • Wilbert James Lick
    Pages 127-191

  5. Elliptic Equations

    • Wilbert James Lick
    Pages 192-218

  6. Applications

    • Wilbert James Lick
    Pages 219-272

  7. Back Matter

    Pages 273-287
    Download chapter PDF
Back to top

Keywords

About this book

In computational mechanics, the first and quite often the most difficult part of a problem is the correct formulation of the problem. This is usually done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equations in order to obtain a solution is usually much simpler. The present notes are primarily concerned with the second task, that of deriving accurate, stable, and physically realistic difference equations from the governing differential equations. Procedures for the numerical evaluation of these difference equations are also presented. In later applications, the physical formulation of the problem and the properties of the numerical solution, especially as they are related to the numerical approximations inherent in the solution, are discussed. There are numerous ways to form difference equations from differential equations.

Authors and Affiliations

  • Dept. of Mechanical and Environmental Engineering, University of California, Santa Barbara, USA

    Wilbert James Lick

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation