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A free stochastic partial differential equation [PDF]

open access: yesAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2010
We get stationary solutions of a free stochastic partial differential equation. As an application, we prove equality of non-microstate and microstate free entropy dimensions under a Lipschitz like condition on conjugate variables, assuming also R^\omega\
Y. Dabrowski
semanticscholar   +6 more sources

Approximations of Stochastic Partial Differential Equations [PDF]

open access: greenThe Annals of Applied Probability, 2014
In this paper we show that solutions of stochastic partial differential equations driven by Brownian motion can be approximated by stochastic partial differential equations forced by pure jump noise/random kicks. Applications to stochastic Burgers equations are discussed.
Giulia Di Nunno, Tusheng Zhang
openalex   +6 more sources

Stochastic partial differential equation models for spatially dependent predator-prey equations [PDF]

open access: yesDiscrete & Continuous Dynamical Systems - B, 2018
Stemming from the stochastic Lotka-Volterra or predator-prey equations, this work aims to model the spatial inhomogeneity by using stochastic partial differential equations (SPDEs). Compared to the classical models, the SPDE model is more versatile.
N. Nguyen, George Yin
semanticscholar   +1 more source

Multivariate type G Matérn stochastic partial differential equation random fields [PDF]

open access: yesJournal of the Royal Statistical Society: Series B (Statistical Methodology), 2016
For many applications with multivariate data, random‐field models capturing departures from Gaussianity within realizations are appropriate. For this reason, we formulate a new class of multivariate non‐Gaussian models based on systems of stochastic ...
D. Bolin, J. Wallin
semanticscholar   +1 more source

Using Nonlinear Diffusion Model to Identify Music Signals

open access: yesAdvances in Mathematical Physics, 2021
In this paper, combined with the partial differential equation music signal smoothing model, a new music signal recognition model is proposed. Experimental results show that this model has the advantages of the above two models at the same time, which ...
Qiang Li
doaj   +1 more source

Dynamic Behavior of a Stochastic Amensalism Population Model

open access: yesJournal of Harbin University of Science and Technology, 2022
Aiming at the problem of biased symbiosis dynamics affected by environmental factors, according to the theory of stochastic differential equation, the stochastic biased symbiosis dynamics model is established by introducing white noise, and the dynamic ...
AI Xiao-hui, DENG Wen-bo, LI Peng-zhe
doaj   +1 more source

Fuzzy-Stochastic Partial Differential Equations [PDF]

open access: yesSIAM/ASA Journal on Uncertainty Quantification, 2019
31 ...
openaire   +3 more sources

Multi-dimensional Legendre wavelets approach on the Black-Scholes and Heston Cox Ingersoll Ross equations

open access: yesAIMS Mathematics, 2019
The one dimension Legendre Wavelet is a numerical method to solve one dimension equation. In this paper Black-Scholes equation (B-S), that has applied via single asset American option and Heston Cox- Ingersoll- Ross equation (HCIR), as partial ...
Jafar Biazar, Fereshteh Goldoust
doaj   +1 more source

Stochastic Partial Differential Equation SIS Epidemic Models: Modeling and Analysis

open access: yesCommunications on Stochastic Analysis, 2019
The study on epidemic models plays an important role in mathematical biology and mathematical epidemiology. There has been much effort devoted to epidemic models using ordinary differential equations (ODEs), partial differential equations (PDEs), and ...
N. Nguyen, G. Yin
semanticscholar   +1 more source

A test of backward stochastic differential equations solver for solving semilinear parabolic differential equations in 1D and 2D

open access: yesPartial Differential Equations in Applied Mathematics, 2022
Backward stochastic differential equation solver was first introduced by Han et al in 2017. A semilinear parabolic partial differential equation is converted into a stochastic differential equation, and then solved by the backward stochastic differential
Evan Davis   +4 more
doaj   +1 more source

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