Results 81 to 90 of about 210,074 (289)

A generalization of Laplace and Fourier transforms [PDF]

arXiv, 2017
In this note we propose a generalization of the Laplace and Fourier transforms which we call symmetric Laplace transform. It combines both the advantages of the Fourier and Laplace transforms. We give the definition of this generalization, some examples and basic properties.
arxiv  

Regularization of the inverse Laplace transform by Mollification [PDF]

arXiv, 2023
In this paper we study the inverse Laplace transform. We first derive a new global logarithmic stability estimate that shows that the inversion is severely ill-posed. Then we propose a regularization method to compute the inverse Laplace transform using the concept of mollification.
arxiv  

Effects of pressure depletion rate, solvent, and surfactant on non‐equilibrium reactions in foamy oil

The Canadian Journal of Chemical Engineering, EarlyView.
Overview of the Investigation into the Effective Operating Parameters of the Foamy Oil Process. Abstract This research employed a visual method to explore the behaviour of foamy oil in heavy oil systems. A Hele‐Shaw cell was designed for observing the volumetric expansion of foamy oil as the system pressure decreased.
Morteza Sabeti, Farshid Torabi, Ali Cheperli   +2 more
wiley   +1 more source

A generalized integral transform and an alternative technique for solving linear ordinary differential equations [PDF]

arXiv, 2014
In the present paper authors introduce the L_n-integral transform and the inverse integral transform for n = 2^k, k=0,1,2,..., as a generalization of the classical Laplace transform and the inverse Laplace transform, respectively. Applicability of this transforms in solving linear ordinary differential equations is analyzed.
arxiv  

Fast and scalable inference for spatial extreme value models

Canadian Journal of Statistics, EarlyView.
Abstract The generalized extreme value (GEV) distribution is a popular model for analyzing and forecasting extreme weather data. To increase prediction accuracy, spatial information is often pooled via a latent Gaussian process (GP) on the GEV parameters. Inference for GEV‐GP models is typically carried out using Markov Chain Monte Carlo (MCMC) methods,
Meixi Chen, Reza Ramezan, Martin Lysy
wiley   +1 more source

Numerical inversion of the Laplace transform

Electronics Letters, 1973
A very simple and efficient program for the numerical inversion of the Laplace transform is presented. Its high accuracy is shown for test functions with known inverses.
K. Singhal, Michel S. Nakhla, Jiri Vlach
openaire   +2 more sources

Numerical inversion of the Laplace transform [PDF]

Facta universitatis - series: Electronics and Energetics, 2005
We give a short account on the methods for numerical inversion of the Laplace transform and also propose a new method. Our method is inspired and motivated from a problem of the evaluation of the M?ntz polynomials (see [1]), as well as the construction of the generalized Gaussian quadrature rules for the M?ntz systems (see [2]).
Gradimir Milovanovic, Aleksandar Cvetkovic   +1 more
openaire   +2 more sources

The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation

Advances in Mathematical Physics
The paper proposes a method to solve the time fractional Fokker–Planck equation using the generalized Hermite spectral method and Laplace transform. By the Laplace transform, the ordinary differential equation about the orthogonal expansion coefficient ...
Lu-feng Yang
doaj   +1 more source

Some Laplace transforms and integral representations for parabolic cylinder functions and error functions [PDF]

arXiv, 2019
This paper uses the convolution theorem of the Laplace transform to derive new inverse Laplace transforms for the product of two parabolic cylinder functions in which the arguments may have opposite sign. These transforms are subsequently specialized for products of the error function and its complement thereby yielding new integral representations for
arxiv  

Susceptible‐infected‐recovered model with stochastic transmission

Canadian Journal of Statistics, EarlyView.
Abstract The susceptible‐infected‐recovered (SIR) model is the cornerstone of epidemiological models. However, this specification depends on two parameters only, which results in its lack of flexibility and explains its difficulty to replicate the volatile reproduction numbers observed in practice.
Christian Gouriéroux, Yang Lu
wiley   +1 more source