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The method is based on the combination of high-order IMplicit EXplicit (IMEX) schemes in time and Fourier pseudo-spectral approximations in space.
The algorithmic design is based on a Newton-type iterative procedure for the stationary problem, and for the transient one, a combination with classical finite difference schemes in time is performed.
From the channel assignment schemes in time division multiple access (TDMA) slot assignment protocols developed in previous studies, we have found that these protocols do not have a convenient frame length shrink scheme after the expansion of the frame length.
In this study, the discretization of the electro-mechanical models is performed by Q1 finite elements in space and semi-implicit finite difference schemes in time, leading to the solution of a large-scale linear system for the bioelectrical potentials and a nonlinear system for the mechanical deformation at each time step of the simulation.
First, starting with an initial guess for the adjoint variables (lambda_{1}^{j}), (lambda _{2}^{j}) and (lambda_{3}^{j}), we solve the state equations by forward Runge-Kutta fourth-order schemes in time associated to every single domain (Omega_{j}).
The observation of a higher number of outliers in contemporary compared to historical samples within Greenland could also indicate ongoing response to selection over the study period, although this pattern may also be partly caused by issues of statistical power related to the not completely congruent sampling schemes in time.
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But there's a more charitable lens with which to view his schemes — in times of unfettered expansion and rapacity, standing still can seem like a real risk.
We discretize the equations by using a spectral method in space, and a multistep third-order accurate scheme in time.
The proposed method applies the Crank Nicolson scheme in time and the second-order central finite difference in space.
The proposed method is based on a finite difference scheme in time and Legendre spectral methods in space.
We discretize these two models using a C0 finite element in space and a modified midpoint scheme in time.
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