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We achieve this by using a different method to invert a Laplace transform which produces a power series solution.
The algorithm uses Newton method to invert a bijective map of the mesh elements onto a reference element, together with a criterion to move from element to element in the mesh.
To calculate the quantile for a given level p∈ 0,1), Ridout (2008) proposed a modified version of Newton's method to invert the cdf.
Using the obtained focal mechanism data we applied a stress tensor inversion method to invert for stress field along and around the fault.
Eventually, we apply the fast MCMC method to invert the reflection coefficient of different angles based on the convergence judgment of Eq. (7), and then, we obtain the elastic impedance of different angles by using the path integral method or the recursion method.
Deconvolution is a common postprocessing method to invert the optical transfer function of the instrument.
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The discrete preconditioned system is solved by the Bi-CGSTAB method, with a multigrid method used to invert the preconditioner approximately.
Our finite fault inverse method carries out the waveform inversion in the wavelet domain and applies a simulated annealing method to simultaneously invert slip amplitude, rake angle, rupture initiation time, and the shape of an asymmetric function for each subfault (Ji et al., 2002, 2003).
An inverse method based on local approximate solutions (LAS inverse method) is proposed to invert transient flows in heterogeneous aquifers.
This decomposition method allows us to invert the population pyramid so as to be classified by remaining years of life.
The Cagniard de Hoop method is employed to invert the transforms.
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