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The numerical results at the (complex) sub-step locations are combined linearly to give higher order accurate results at the end of the time step.
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Two main statements, computation of higher absolute differences and restoring the original by a given higher order difference image, are studied.
Three and four events imply a total of four and ten triad identities, respectively, and in general a given higher order identity will yield (binom {n+1}{3}) triad identities.
In addition to transverse inertia, longitudinal translatory and rotary inertias are included, as such analysis gives higher order modes of vibration and leads to accurate results for relatively thick plates.
Sharp interfaces between the sublayers give higher-order contributions.
In this section we give higher-order derivatives of the Bernstein basis functions.
Strains and stresses were extracted using Gaussian quadrature rule which gives high-order accuracy with very few points.
In recent years, a series of papers have appeared on algebraic relationships between the solutions (e.g., deflections, buckling loads and frequencies) of a given higher-order plate theory and the classical plate theory.
The reconstruction algorithm is derived from a new interpolation technique that, when applied to piecewise smooth data, gives high-order accuracy whenever the function is smooth but avoids a Gibbs phenomenon at discontinuities.
The objective is to minimize the discrepancy between these fluxes and the given high-order target mass fluxes, subject to constraints that enforce physically motivated bounds on the associated primitive variable (density).
First, a given high-order plant is reduced to a second-order system in terms of the ν-gap metric, and next, the state feedback gains of the IOS for the second-order system are computed to obtain PID control gains.
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