Loading...
Please wait, while we are loading the content...
Similar Documents
Marginal Stability and Stabilization in the Numerical Integration of Ordinary Differential Equations
| Content Provider | Scilit |
|---|---|
| Author | Brunner, H. |
| Copyright Year | 1970 |
| Description | Strongly stable and consistent multistep methods with maximum order are subject to marginal (or weak) stability. In this paper we introduce modified multistep methods whose coefficients depend linearly on the stepsize $h$ and a parameter $L$ in such a way that the order of the original method is not decreased. By choosing $L$ in a suitable manner (depending essentially on ${f_y}(x,y)$ of the differential equation $y' = f(x,y)$ and on the growth parameters of the multistep method), marginal stability can be eliminated. |
| Related Links | https://www.ams.org/mcom/1970-24-111/S0025-5718-1970-0273821-5/S0025-5718-1970-0273821-5.pdf |
| Ending Page | 646 |
| Page Count | 12 |
| Starting Page | 635 |
| ISSN | 00255718 |
| e-ISSN | 10886842 |
| DOI | 10.2307/2004839 |
| Journal | Mathematics of Computation |
| Issue Number | 111 |
| Volume Number | 24 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1970-07-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Social Sciences Differential Equation Ordinary Stabilization Weak Choosing Stepsize Linearly F_y |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Algebra and Number Theory Computational Mathematics |
