Results 1 to 10 of about 14,196 (97)

Inverse two-sided Laplace transform for probability density functions

open access: bronzeJournal of Computational and Applied Mathematics, 1998
The author studies numerical inversion of the two-sided Laplace transform corresponding to a positive function, typically a probability density function. He consideres the problem where the data are the values of the first \(M\) derivatives of \(F(s)\) at the origin, related to the moments \(\mu_j\), \(j= 0,1,\dots, M\) of the function \(f(t)\) through
Aldo Tagliani
openalex   +4 more sources

Wave propagation in a infectious disease model with non-local diffusion

open access: yesAdvances in Difference Equations, 2019
In this paper, we propose a nonlocal diffusion infectious disease model with nonlinear incidences and distributed delay to model the transmission of the epidemic.
Yueling Cheng, Dianchen Lu
doaj   +1 more source

Traveling Waves in a Nonlocal Dispersal SIR Model with Standard Incidence Rate and Nonlocal Delayed Transmission

open access: yesMathematics, 2019
In this paper, we study the traveling wave solutions for a nonlocal dispersal SIR epidemic model with standard incidence rate and nonlocal delayed transmission.
Kuilin Wu, Kai Zhou
doaj   +1 more source

Traveling Wave Solutions for Epidemic Cholera Model with Disease-Related Death

open access: yesThe Scientific World Journal, 2014
Based on Codeço’s cholera model (2001), an epidemic cholera model that incorporates the pathogen diffusion and disease-related death is proposed. The formula for minimal wave speed c∗ is given.
Tianran Zhang, Qingming Gou
doaj   +1 more source

Invasion entire solutions in a time periodic Lotka-Volterra competition system with diffusion

open access: yesMathematical Biosciences and Engineering, 2017
This paper is concerned with invasion entire solutions of a monostable time periodic Lotka-Volterra competition-diffusion system. We first give the asymptotic behaviors of time periodic traveling wave solutions at infinity by a dynamical approach coupled
Li-Jun Du, Wan-Tong Li, Jia-Bing Wang
doaj   +1 more source

A Note on First Passage Functionals for Lévy Processes with Jumps of Rational Laplace Transforms

open access: yesAbstract and Applied Analysis, 2016
This paper investigates the two-sided first exit problem for a jump process having jumps with rational Laplace transform. The corresponding boundary value problem is solved to obtain an explicit formula for the first passage functional.
Djilali Ait-Aoudia
doaj   +1 more source

Exit Problems for Jump Processes Having Double-Sided Jumps with Rational Laplace Transforms

open access: yesAbstract and Applied Analysis, 2014
We consider the two-sided first-exit problem for a jump process having jumps with rational Laplace transform. We derive the joint distribution of the first passage time to two-sided barriers and the value of process at the first passage time.
Yuzhen Wen, Chuancun Yin
doaj   +1 more source

Adaptive Two Sided Laplace Transforms: A Learnable, Interpretable, and Scalable Replacement for Self-Attention

open access: yes
We propose an innovative, learnable two-sided short-time Laplace transform (STLT) mechanism to supplant the traditional self attention in transformer-based LLMs. Our STLT introduces trainable parameters for each Laplace node, enabling end-to-end learning of decay rates , oscillatory frequencies, and window bandwidth T. This flexibility allows the model
openaire   +2 more sources

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