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It is hypothesized from the overall dilute solution features that the P. sp biopolymer chain molecules adopt stiff ordered conformation in solution.
The molecular structure of these materials consists of stiff, ordered, rod-like molecules that are connected to long, crosslinked molecular chains, resulting in a coupling between the orientational order of the rods and mechanical deformation of the network.
It is the presence of this stiff ordered phase that dominates the reinforcement mechanism.
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Meanwhile, the revised stiff order conditions are proposed and investigated in detail.
We derive stiff order conditions for the EPIRK methods and develop algorithms to solve them to obtain specific schemes.
By the expansions for the errors of explicit ERKN integrators, we derive stiff order conditions up to order three and present the error bounds.
In this paper we extend the stiff order conditions and the convergence theory developed for the exponential Rosenbrock methods to the EPIRK integrators.
We used the Exponential Time Differencing (ETD) Euler Method for the discretisation in time (with the exponential five Runge-Kutta scheme of stiff order for been used in the computation).
Rousey has yet to do the same, and Nunes is a stiff order for a first assignment back to redemption.
On the night that Ms. Grullon was there, Alma felt like a meatpacking district club reimagined for Brooklyn: Women from the neighborhood (or Queens, or the Bronx) passed hookah hoses and danced; men in baggy jeans and stiff Yankee hats ordered bottle service and flirted with waitresses.
Implicit integration factor (IIF) methods are originally a class of efficient "exactly linear part" time discretization methods for solving time-dependent partial differential equations (PDEs) with linear high order terms and stiff lower order nonlinear terms.
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