Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives-Reference-Cited by-同舟云学术

Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives

Published:1974 Issue: Volume: Page:363-389
ISSN:0075-8434
Container-title:Lecture Notes in Mathematics
language:
Short-container-title:

Author:

O'Malley R. E.

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/BFb0066277

Reference19 articles.

1. L. R. Abrahamson, H. B. Keller, and H. O. Kreiss, "Difference approximations for singular perturbations of systems of ordinary differential equations". (To appear).

2. A. C. Aitken, Determinants and Matrices, Oliver and Boyd, Edinburgh, 1956.

3. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, Mcgraw-Hill, New York, 1965.

4. F. W. Dorr, "The numerical solution of singular perturbations of boundary value problems," SIAM J. Numer. Anal. 7 (1970), pp. 281–313.

5. P. C. Fife, "Semilinear elliptic boundary value problems with small parameters," Arch. Rational Mech. Anal. 52 (1973), pp. 205–232.

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Adaptive Shooting Method for Singularly Perturbed Boundary Value Problems;SIAM Journal on Scientific and Statistical Computing;1986-04

2. A Hybrid Asymptotic-Finite Element Method for Stiff Two-Point Boundary Value Problems;SIAM Journal on Scientific and Statistical Computing;1983-06

3. On Boundary Layer Approximations in the Numerical Solution of Certain Stiff Boundary Value Problems;SIAM Journal on Numerical Analysis;1981-06

4. The Asymptotic Solution of a Class of Singularly Perturbed Nonlinear Boundary Value Problems via Differential Inequalities;SIAM Journal on Mathematical Analysis;1978-04

5. Effective Characterization of the Asymptotic Behavior of Solutions of Singularly Perturbed Boundary Value Problems;SIAM Journal on Applied Mathematics;1976-03