Two-Step Fifth-Order Methods for Evolutionary Problems with Positive Operators

Two-Step Fifth-Order Methods for Evolutionary Problems with Positive Operators The family of three-level fifth-order time integrators are considered for hyperbolic, parabolic PDEs and stiff ODEs. They are classified into two parts depending on positivity or negativity of the operators corresponding to the second time derivatives. Two options are presented for hyperbolic equations. Stability analysis is performed for linear cases. It is shown that the scheme for ODEs can be nearly A-stable and nearlyL -stable for particular values of its free parameter. Numerical illustration is presented for hyperbolic case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Two-Step Fifth-Order Methods for Evolutionary Problems with Positive Operators

Loading next page...
 
/lp/springer_journal/two-step-fifth-order-methods-for-evolutionary-problems-with-positive-9on7NBFxDF
Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1998 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1009772215336
Publisher site
See Article on Publisher Site

Abstract

The family of three-level fifth-order time integrators are considered for hyperbolic, parabolic PDEs and stiff ODEs. They are classified into two parts depending on positivity or negativity of the operators corresponding to the second time derivatives. Two options are presented for hyperbolic equations. Stability analysis is performed for linear cases. It is shown that the scheme for ODEs can be nearly A-stable and nearlyL -stable for particular values of its free parameter. Numerical illustration is presented for hyperbolic case.

Journal

PositivitySpringer Journals

Published: Oct 7, 2004

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off