An averaging method for the stiff highly oscillatory problem-Reference-Cited by-同舟云学术

An averaging method for the stiff highly oscillatory problem

Published:1976 Issue:135 Volume:30 Page:383-399
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Miranker W. L.,Wahba G.

Abstract

We show how to replace the point functionals of numerical analysis with types of stable functionals of highly oscillatory solutions of differential equations. This replacement leads to the development of effective numerical methods for the stiff highly oscillatory problem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1976-30-135/S0025-5718-1976-0423817-0/S0025-5718-1976-0423817-0.pdf

Reference6 articles.

1. G. BJUREL et al., Survey of Stiff Ordinary Differential Equations, Royal Inst. Tech., Stockholm, Report NA 70.11.

2. Matricial difference schemes for integrating stiff systems of ordinary differential equations;Miranker, W. L.;Math. Comp.,1971

3. Numerical methods for stiff systems of differential equations related with transistors, tunnel diodes, etc;Miranker, Willard L.,1974

4. Approximation by aliasing with application to “Certaine” stiff differential equations;Snider, Arthur David;Math. Comp.,1974

5. The IBM Research Symposia Series,1974

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