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In addition, if the algorithms have difficulties in getting themselves moving especially when the acceptance ratio resulted in MCMC method is very low, the improved MCMC method, with second stage moves scaled down, can provide help.
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MECPM is the overall best-performing method, with SH second, BEAM third, LR fourth, LRIT fifth, FIM sixth and IG seventh.
From Figure 4(a), MECPM is overall the best-performing method, with SH second, BEAM third, FIM fourth, the baseline LR fifth, LRIT sixth, IG seventh and MDR eighth.
A finite difference method with second-order accuracy is used to solve the numerical model.
In [11], Zhang and Shu study the error estimate of the discontinuous Galerkin (DG) method with second-order Runge-Kutta time discretization.
These results confirmed that coupling optimized SPE HPLC DAD method with second-order calibration algorithms can be considered as an efficient method for fast, simple and cost effective quantification of pharmaceuticals in highly contaminated samples, such as river and well waters.
In the temporal direction, for approximating the fractional derivative with order α∈ 0,1), the weighted and shifted Grünwald difference (WSGD) scheme with second-order convergence rate is introduced and for approximating the integer time derivative, two step backward Euler method with second-order convergence rate is used.
The proposed subsurface flow model has the satisfactory simulation accuracy, and presents a higher mass balance ratio and a higher convergence rate with third-order accuracy than the models solved by the finite-volume method and finite-difference method with second-order accuracy.
They used the finite element method with first-order shear theory (FST) theory.
We present a backward semi-Lagrangian method with third-order temporal accuracy for solving the guiding center problem.
In this paper, a three-step iterative method with sixth-order local convergence for approximating the solution of a nonlinear system is presented.
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