An Asymptotic-Numerical Method for a Time-Dependent Singularly Perturbed System with Turning Points

Numerical Methods for Partial Differential Equations

Volumn 12, Issue 4, 1996, Pages 441-460

  Shao, S ^a   Chin, R C Y ^b  

^a CLEVELAND STATE UNIVERSITY   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542476065     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199607)12:4<441::AID-NUM3>3.0.CO;2-M     Document Type: Article

References (10)

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3. R. C. Y. Chin and G. W. Hedstrom, "Domain decomposition: An instrument of asymptotic-numerical methods," in Asymptotic Analysis and Numerical Solutions of Partial Differential Equations, H. G. Kaper and M. Garbey, Eds., Marcel Dekker, New York, 1991, p. 33.
4. R. C. Y. Chin, G. W. Hedstrom, F. A. Howes, and J. R. McGraw, "Parallel computing of multiple-scale problems," in New Computing Environment: Parallel, Vector, and Systolic, SIAM, Philadelphia, 1986, p. 136.
5. R. C. Y. Chin, J. S. Scroggs, and D. C. Scorensen, "Parallel computation of a domain decomposition method," in Advances in Computer Methods for Partial Differential Equations, 6, 375 (1987).
6. P. D. Lax, "Accuracy and resolution in the computation of solutions of linear and nonlinear equations," in Recent Advances in Numerical Analysis, G. H. Golub and C. deBoor, Eds., Academic Press, New York, 1978.
7. S. Shao, "Asymptotic behavior of solutions of model problems for a coupled system," J. of Math. Anal. and Appl., 181, 150 (1994).
8. F. A. Howes, "Multi-dimensional initial-boundary value problems with strong nonlinearities," Archive Ration. Mech. Analysis 91, 153 (1986).
9. L. B. Felsen and A. Kamal, "Hybid ray-mode formulation of SH motion in a two-layer half-space bull seismol," Soc. Amer. 71, 1763 (1981).
10. L. Greengard and J. Strain, "A fast algorithm for the evaluation of heat potential," Comm. Pure Appl. Math., 43, 949 (1990).