Yang, Zhong-Hua and Keller, H. B. (1986) A Direct Method for Computing Higher Order Folds. SIAM Journal on Scientific Computing, 7 (2). pp. 351-361. ISSN 1064-8275. doi:10.1137/0907024. https://resolver.caltech.edu/CaltechAUTHORS:YANsiamjssc86
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Abstract
We consider the computation of higher order fold or limit points of two parameter-dependent nonlinear problems. A direct method is proposed and an efficient implementation of the direct method is presented. Numerical results for the thermal ignition problem are given.
| Item Type: | Article | ||||||
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| Additional Information: | © 1986 Society for Industrial and Applied Mathematics. Received by the editors May 15, 1984, and in revised form February 25, 1985. This work was supported by the U.S. Department of Energy under contract EY-76--03-0767, project agreement no. 12, and the U.S. Army Research Office under contract DAAG 29-78-C-0011. | ||||||
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| Subject Keywords: | two-parameter nonlinear problems, simple limit points, higher order fold points, double extended systems, Newton’s methods | ||||||
| Issue or Number: | 2 | ||||||
| DOI: | 10.1137/0907024 | ||||||
| Record Number: | CaltechAUTHORS:YANsiamjssc86 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:YANsiamjssc86 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 12725 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 21 Dec 2008 05:13 | ||||||
| Last Modified: | 08 Nov 2021 22:32 |
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