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On the Simultaneous Use of Asymptotic and Numerical Methods to Solve Nonlinear Two Point Problems with Boundary and Interior Layers

  • Robert E. O’MalleyJr.
Part of the Progress in Scientific Computing book series (PSC, volume 5)

Abstract

The purpose of this paper is to provide a broad-brush survey concerning boundary value problems for certain systems of nonlinear singularly perturbed ordinary differential equations. The aim is to emphasize important and difficult open problems needing much more study, in terms of both mathematical and numerical analysis and computational experiments. The presentation will, regrettably, be removed from both direct applications and substantial achievements. Gradually, we will, however, become more specific and ultimately will discuss some currently tractible problems.

Keywords

Singular Perturbation Shock Layer Singular Perturbation Problem Singular Perturbation Theory Decay Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston, Inc. 1985

Authors and Affiliations

  • Robert E. O’MalleyJr.

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