This study proposes a novel computational technique for specific energy loss pulse incidence. Our method is based on fast inverse Laplace transform (FILT) with an electromagnetic field solver in the complex frequency domain. Using FILT algorithm, domain can be computed and transformed into time In our method, until desired observation without solving at previous time. The finite-difference comp...

A general analytical scheme for computing the n-fold convolution of exponentialsum distribution functions has been developed in this paper. The n-fold convolution is first expressed by multiple sums of recursive integrals. These recursive integrals are then reconstructed with a series of delta functions to avoid separations of integrations. Part of the recursive integrals has been solved analyt...

We give an explicit formula (i.e., an explicit expression for the formal stationary phase formula) for the local Fourier-Laplace transform of a formal germ of meromorphic connection of one complex variable with a possibly irregular singularity. Introduction We will denote by C((t)) (resp. C({t})) the field C[[t]][t] (resp. C{t}[t]) of formal (resp. convergent) Laurent series of the variable t, ...

We consider a system (M, g, ω,X) where (M, g) is a closed Riemannian manifold, ω a closed one form whose all zeros are nondegenerate and X an (−ω, g) gradient like vector field. For t ∈ R+ large enough, the Witten complex (Ω∗, dt = d ∗ + tω∧) decomposes canonically as a direct sum of two one parameter family of cochain complexes (Ωsm(t), dt ) and (Ωla(t), d ∗ t ). We show that under a mild hypo...

Scale-invariant timing has been observed in a wide range of behavioral experiments. The scale-invariant firing property of recently described time cells provides a possible neural substrate for this behavior. Earlier work proposed a mathematical model that generates scale-invariant time cells based on neurons with long time constants and an approximation of inverse Laplace transform. This paper...

Abstract. We have combined the Laplace transform and the Stieltjes transform of the form f̂(x) = R∞ 0 f(t) (xm+tm)ρ dt, m, ρ > 0 and applied it to an ordered vector space of generalized functions to which the topology of bounded convergence is assigned. Some of the order properties of the transform and its inverse are studied. Also we solve an initial value problem and compare different solution...

This paper develops a novel boundary meshless approach, Laplace transformed boundary particle method (LTBPM), for numerical modeling of time fractional diffusion equations. It implements Laplace transform technique to obtain the corresponding time-independent inhomogeneous equation in Laplace space and then employs a truly boundary-only meshless boundary particle method (BPM) to solve this Lapl...