Local linearization method: Difference between revisions

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(t_{n}-\tau _{i}))/h_{n},</math> where
 
<div style="text-align: center;">
<small><math>\mathbf{y}\left( t\right) =\mathbf{y}_{n_{t}}+\mathbf{L}(\mathbf{P}%
_{p,q}(2^{-k_{n}}\mathbf{M}_{n_{t}}(t-t_{n_{t}}))^{2^{k_{n}}}\mathbf{r},
\text{ with }n_{t}=\max \{n=0,1,2,...,:t_{n}\leq t\text{ and }t_{n}\in
\left( t\right) _{h}\},</math></small>
</div>
 
is the ''Local Linear Approximation'' to the solution of (10) deÖned through the LL scheme '''(12)''' for all <math>t\in \lbrack