The G-Euler process for nonlinear autonomous systems
- Authors
- Yu, Dong Won
- Issue Date
- Feb-2018
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- G-Euler process; Contractive; Expansive; Parallel; Rate of coincidence of behaviors
- Citation
- JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, v.56, no.1-2, pp 459 - 475
- Pages
- 17
- Journal Title
- JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
- Volume
- 56
- Number
- 1-2
- Start Page
- 459
- End Page
- 475
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/45338
- DOI
- 10.1007/s12190-017-1082-7
- ISSN
- 1598-5865
1865-2085
- Abstract
- The G-Euler process is an improved version of the Lawson method (SIAM J Numer Anal 4:372-380, 1967). This paper is concerned with the behaviors of true solutions and numerical solutions, and shows that the G-Euler process preserves the behaviors of true solutions with a suitable choice of stepsize. The rate of coincidence of behaviors is introduced instead of the relative error. By using the minimum rate of coincidence of behaviors, we also show that the numerical solutions computed by the G-Euler process follow the true solutions of nonlinear autonomous systems to the last.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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