On the approximate minimization of functionals
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- by James W. Daniel PDF
- Math. Comp. 23 (1969), 573-581 Request permission
Abstract:
This paper considers in general the problem of finding the minimum of a given functional $f(u)$ over a set $B$ by approximately minimizing a sequence of functionals ${f_n}({u_n})$ over a "discretized" set ${B_n}$; theorems are given proving the convergence of the approximating points ${u_n}$ in ${B_n}$ to the desired point $u$ in $B$. Applications are given to the Rayleigh-Ritz method, regularization, Chebyshev solution of differential equations, and the calculus of variations.References
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Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 573-581
- MSC: Primary 65.30
- DOI: https://doi.org/10.1090/S0025-5718-1969-0247746-7
- MathSciNet review: 0247746