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Constructing high approximation accuracy surrogate model with lower computational cost has great engineering significance.
The conventional linear approximation method requires a simple hardware implementation but produces results with high approximation error.
These schemes give uniformly high approximation order and allow for a spectral-like wave resolution while dissipating non-resolved wavenumbers.
This method enables application of the classical formulation and high approximation accuracy as proven in comparison with published solutions.
Local refinement is applied by introducing higher order polynomials in selected subdomains (local p-refinement) to keep the problem size small while ensuring high approximation accuracy.
In this paper we characterize all totally interpolating biorthogonal finite impulse response (FIR) multifilter banks of multiplicity two, and provide a design framework for corresponding compactly supported multiwavelet systems with high approximation order.
The algorithm introduced avoids the labour of preliminary differencing and is in fact more convenient than using the tabulated finite difference formulas, in particular when the derivatives are required with high approximation accuracy.
Finally, it is shown that the high approximation power of the multi-level hp-scheme also carries over to curved geometries common in engineering practice without a significant detrimental effect on the conditioning of the stiffness matrix.
They are usually of high approximation and disregard crucial local topography effects such as diversions or bifurcations.
Newtonian theory is now seen to hold only to high approximation in limited circumstances in much the way that Galileo's and Huygens's results for motion under uniform gravity came to be seen as holding only to high approximation in the aftermath of Newtonian inverse-square gravity.
Sub-Nyquist sampling, which can acquire signals even at very low sampling rate and yet maintain high approximation precision, has been developed over the past years to process certain signal models [1].
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