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Both first and second-order filters with high-pass filter characteristics are constructed.
For the one-dimensional case, both first and second-order schemes are discussed.
The chemical and ferromagnetic ordering transitions can be both first and second-order and they have a strong interaction.
In the first half of this note, it is shown that naı¨ve application to DAEs of standard splitting schemes suffers from order reduction: both first and second-order schemes are only first-order accurate for DAEs.
Several numerical analyses are performed to evaluate the critical mean square value of the excitation when a system parameter is varied for the cases of both first and second-order parametric excitation.
It is observed that the lower order streams, viz., both first and second-order streams constitute most of the streams in each watershed and their proportion ranges from 90.59% (in Maruvattur watershed) to 96.67% (Valaiyur watershed) of the total streams of the respective watersheds.
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The approach proposed is a general one and allows analyzing both first and second order reactions.
Simulation results for both first and second order models are presented to demonstrate the efficacy of the proposed methodologies.
Here we evaluate the approach using image gradient operators, and we present comparative qualitative and quantitative results for both first and second order derivative methods.
It is important to identify the full range of both first and second order responses, and to understand their likely levels.
In Tables 4-6, we give the results of the numerical calculations for both first and second order approximations in the cases (N=M=10, 20, 40).
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