Titlebook: Variational Methods in Mathematics, Science and Engineering; Karel Rektorys Book 1977 Karel Rektorys 1977 Mathematica.applied mathematics.

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The Least Squares Method. The Courant Methodthe equation.where . ∈ .. Let.be a so-called . in ., i.e., a sequence (possibly finite if a finite dimensional space is considered) such that.constitutes a base in .. Consequently, to every given . ∈ . and to every η > 0 it is possible to find a positive integer . and constants ., …, . such that.or — since the operator . is linear — that

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The Method of Steepest Descent. Example method is applicable in the case of bounded operators (Def. 8.13, p. 96), therefore not in the case of differential operators. A typical example of equations to the solution of which it is preferable to apply this method are integral equations.

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