Iterated averaging methods for systems of ordinary differential equations with a small parameter
โ Scribed by S. C. Persek; F. C. Hoppensteadt
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 739 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
The paper studies differential equations of the form u (x) = f (x, u(x), ฮป(x)), u(x0 ) = u0 , where the righthand side is merely measurable in x. In particular sufficient conditions for the continuous and the differentiable dependence of solution u on the data and on the parameter ฮป are stated.
We establish existence results for solutions to boundary value problems for systems of second order difference equations associated with systems of second order ordinary differential equations subject to nonlinear boundary conditions.
A new computational algorithm for the estimation of parameters in ordinary differential equations from noisy data is presented. The algorithm is computationally faster than quasilinearization because of the reduction of the number of ordinary differential equations that must be solved a t each itera
## Abstract A new objective function for estimating parameters in differential equations, based upon a weighted least squares criterion for the residuals of these equations, is presented. The use of Lobatto quadrature in combination with the collocation technique reduces the original problem to one