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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.
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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.
At the same time, the transducer is designed sufficiently stiff in order to consider it as a rigid body for use up to approximately 600 Hz.
Competition tracks tend to be stiffer in order to return more energy to the athlete and produce better times, but this can cause problems over longer distances when shock absorption helps prevent injury.
Employing a nested application of singular perturbation arguments, we propose a method for deriving non-linear, non-stiff, reduced order models for the dynamics in each time scale.
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