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Analogous results for approximation of periodic functions are given in [52, 53].
Using (3.1), we prove the following strong convergence theorem for approximation of solutions of problem (1.8).
This discrete version gives also an algorithm for approximation of a zero of maximal monotone operator.
Such a method for approximation of fixed points is called the viscosity approximation method.
The well-known Banach contraction theorem uses the Picard iteration process for approximation of fixed point.
However, a statistical estimation procedure is still required for approximation of the texture shape parameter.
We now introduce the dual least squares method for approximation of the solutions of problem (1.1).
For approximation of problem (1.2), we use the implicit difference scheme (3.2).
This iterative algorithm gives a method for approximation of a zero of a maximal monotone operator.
Spatially adaptive stochastic numerical methods are developed for approximation of the stochastic partial differential equations.
Explicit expressions of weighting coefficients for approximation of derivatives are presented.
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