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The vector form of a sixth-order A-stable explicit one-step method for stiff problems

✍ Scribed by Xin-Yuan Wu; Jian-Lin Xia


Book ID
104353697
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
434 KB
Volume
39
Category
Article
ISSN
0898-1221

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✦ Synopsis


A sixth-order A-stable explicit one-step method for stiff ordinary differential equations is extended directly to solve systems of equations. Some defects of the component form of this method are avoided. To perform these, a new set of vector computations are introduced. Some numerical experiments are presented to show its superiority.


πŸ“œ SIMILAR VOLUMES


A sixth-order A-stable explicit one-step
✍ Xin-Yuan Wu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 276 KB

## AbstractmThis paper presents a sixth-order, explicit, one-step method which is proved to be A-stable. The numerical experiments demonstrate that the new method is suitable for stiff systems.