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By definition the time points t i ∈ [ t ^ j, t ^ j + 1 ] partition the interval so that the demographic function is linear on each sub interval.
It is sufficient to show how to integrate and solve for linear functions, since the domain of any operation can be partitioned into sub intervals so that all the functions are linear on any sub interval.
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The modified sub-interval perturbation procedures are implemented in a numerical finite element framework.
This method is used for specifying the mesh for a time sub-interval.
For larger parameter intervals, the sub-interval perturbation method based on the SIPFEM/SEA is introduced.
where R ^ s is the estimated clutter temporal covariance matrix in the s-th sub-interval, N s is the pulse number of the sub-interval.
Every sub-interval can contain at most one node: in general, we assume that in each sub-interval there is a "virtual" node.
For that a sub-interval in which the root μ ¯ b must lie should be provided.
Based on the sub-interval perturbation analysis, a modified sub-interval perturbation finite element method is proposed to determine the bounds of sound pressure in the 2D acoustic field with large uncertain-but-bounded parameters.
If f is Kurzweil-integrable, then it has the same feature on any sub-interval of ([a,b]).
U s is Ns × p m matrix frequently called steering matrix of the s-th sub-interval.
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