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Next, we show that different P in (7) can induce the following well-known methods: the linearized primal-dual method, SIU, BOS, and split Bregman methods and some new primal-dual algorithms with the correction step (8).
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In the YRBC method, the linearized vector and the DNA fragments are transformed into S. cerevisiae (Fig. 1), which assembles the vector by in vivo recombination.
A nonlinear, closed-loop, time-invariant controller that globally stabilizes an underactuated marine vehicle on a straight course is proposed- Traditional surface vessel linear course tracking autopilots are designed applying linear control methods on the linearized model, thus yielding only local results.
In Section 2, we sketch the original Bregman method and the linearized Bregman method which are useful for the subsequent analysis.
Detailed comparisons with the direct simulation Monte Carlo (DSMC) method and the linearized Boltzmann equation are made for planar Couette and Poiseuille flows.
We present a new nonlinear spatial finite-element method for the linearized Boltzmann transport equation with Sn angular discretization in 1-D and 2-D Cartesian geometries.
Furthermore, on average about 25% of the true edges are "undetectable" by any method using the linearized ODE assumption: although present in the nonlinear system, their entries a ij are very close to zero, and they do not contribute to the dynamics within the linearization region.
The Fourier pseudospectral time-domain (F-PSTD) method is computationally one of the most cost-efficient methods for solving the linearized Euler equations for wave propagation through a medium with smoothly varying spatial inhomogeneities in the presence of rigid boundaries.
As seen in Figs. 2A and 2C, analytical solutions (discussed in the Methods section) of the linearized EGFR and GPCR models (dotted lines) provide reasonable approximations to the numerical solutions (solid lines).
Then we (i) linearize this method, and (ii) Fourier-analyze the linearized method to theoretically predict its convergence properties.
In this paper, an analytical method to build the linearized equations of motion of an elastic tree structured mechanism, is presented.
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