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Parallel calculations allow increasing approximation orders by increasing the number of processors.
Finally, stability of the subdivision schemes, regularity, approximation orders, and symmetry are analyzed.
Stability of the subdivision schemes, regularity and approximation orders are obtained.
Therefore, we study the case of approximation orders and fractional orders and, respectively.
Then (phi^{m,l,alpha}_{0}) provides the approximation orders (2l+2).
Increasing the approximation orders of the Taylor's expansion the range of maximum accuracy widens.
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All possible resonance cases were extracted at this approximation order.
The deduced equivalence class is generalized to any approximation order.
Generally, higher approximation order will give higher complexity.
We only give the proof of the approximation order.
196 (2006) 162 179], a general method is proposed to increase the approximation order of approximation operators.
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