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Several approximation schemes for integrating the Riccati equation in cylindrical coordinates are considered: exponential, Magnus, Taylor series, Lagrange polynomials, with numerical examples indicating that the exponential scheme performs best.
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Numerical examples indicate that the method provides good precision.
Examples indicate that the approach may be useful in some practical applications.
Numerical examples indicate that the proposed assumptions are markedly more accurate than the conventional one.
Numerical examples indicate that the method compares favorably with the existing ones.
Calculated examples indicated that the model suggests the existence of multiple steady states.
These examples indicate that the stress meter performed well in recording the stress variation.
Results from over 90 examples indicate that the preferred system design is sensitive to the user's perceived risk.
Numerical examples indicate that the proposed approach performs well for the reliability-redundant allocation design problems considered in this paper.
However, numerical examples indicate that the solutions of the one-way wave equations remain finite and smooth near caustics.
The numerical examples indicate that the methods are highly attractive when the inner linear systems can efficiently be solved.
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