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Fractional trajectories: Decorrelation versus friction Report Title The fundamental connection between fractional calculus and subordination processes is explored and affords a physical interpretation of a fractional trajectory, that being an average over an ensemble of stochastic trajectories. Heretofore what has been interpreted as intrinsic friction, a form of non-Markovian dissipation that ...

The solution to a nonlinear equation is found in this study by combining classical and powerful method. Basically, it well known that the Homotopy Continuation Method (HCM) method has been used for solving problem of A new approach introduced which as Ostrowski (Ostrowski-HCM) with purpose overcome divergence arises from Ostrowski’s when bad initial guess used. To put simply, derivative given f...

We develop a primal dual active set with continuation algorithm for solving the l-regularized least-squares problem that frequently arises in compressed sensing. The algorithm couples the the primal dual active set method with a continuation strategy on the regularization parameter. At each inner iteration, it first identifies the active set from both primal and dual variables, and then updates...

Progress in the development of a homotopy continuation method to globalize the spatiallydiscretized steady flow equations in computational fluid dynamics (CFD) is presented. The algorithm contains many new features developed specifically for application to the large sparse highly parallelized systems encountered in modern CFD. A second-difference dissipation operator common in finite-difference...

We critique a Padé analytic continuation method whereby a rational polynomial function is fit to a set of input points by means of a single matrix inversion. This procedure is accomplished to an extremely high accuracy using a novel symbolic computation algorithm. As an example of this method in action, it is applied to the problem of determining the spectral function of a single-particle therm...

searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggesstions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Hi...

searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggesstions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Hi...