An averaging method for the stiff highly oscillatory problem
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- by W. L. Miranker and G. Wahba PDF
- Math. Comp. 30 (1976), 383-399 Request permission
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.References
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G. BJUREL et al., Survey of Stiff Ordinary Differential Equations, Royal Inst. Tech., Stockholm, Report NA 70.11.
- W. L. Miranker, Matricial difference schemes for integrating stiff systems of ordinary differential equations, Math. Comp. 25 (1971), 717–728. MR 301939, DOI 10.1090/S0025-5718-1971-0301939-8
- Willard L. Miranker and Frank Hoppensteadt, Numerical methods for stiff systems of differential equations related with transistors, tunnel diodes, etc, Computing methods in applied sciences and engineering (Proc. Internat. Sympos., Versailles, 1973) Lecture Notes in Comput. Sci., Vol. 10, Springer, Berlin, 1974, pp. 416–432. MR 0436601
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Math. Comp. 30 (1976), 383-399
- MSC: Primary 65L05
- DOI: https://doi.org/10.1090/S0025-5718-1976-0423817-0
- MathSciNet review: 0423817