Computation of Analytical Zoom Locus Using Padé Approximation

On Padé Approximation of Some Practical Functions

Volumetric heat Kernel: Padé-Chebyshev approximation, convergence, and computation

This paper proposes an accurate and computationally efficient solver of the heat equation (∂t +D)F(·, t) = 0, F(·,0) = f , on a volumetric domain, through the (r,r)-degree Padé-Chebyshev rational approximation of the exponential representation F(·, t) = exp( tD) f of the solution. To this end, the heat diffusion problem is converted to a set of r differential equations, which involve only the L...

Robust Padé Approximation via SVD

Padé approximation is considered from the point of view of robust methods of numerical linear algebra, in particular the singular value decomposition. This leads to an algorithm for practical computation that bypasses most problems of solution of nearly-singular systems and spurious pole-zero pairs caused by rounding errors; a Matlab code is provided. The success of this algorithm suggests that...

on padé approximation of some practical functions

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Padé analytical continuation method based on a high accuracy symbolic computation algorithm

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...