Results 41 to 50 of about 26,053 (259)

Approximate solutions of stochastic differential delay equations with Markovian switching [PDF]

, 2010
Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local ...
Li, Xiaoyue, Shen, Y., Mao, X., Shen, Yi, Mao, Xuerong   +4 more
core   +1 more source

Bounds for Euler from vorticity moments and line divergence [PDF]

, 2013
The inviscid growth of a range of vorticity moments is compared using Euler calculations of anti-parallel vortices with a new initial condition.
Kerr, Robert M. (Robert McDougall)
core   +1 more source

On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs

Discrete Dynamics in Nature and Society, 1998
The Euler equations, namely a set of nonlinear partial differential equations (PDEs), mathematically describing the dynamics of inviscid fluids are numerically integrated by directly modeling the original continuous-domain physical system by means of a ...
F. N. Koumboulis, M. G. Skarpetis, B. G. Mertzios   +2 more
doaj   +1 more source

Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model [PDF]

, 2013
We present an all speed scheme for the Euler-Korteweg model. We study a semi-implicit time-discretisation which treats the terms, which are stiff for low Mach numbers, implicitly and thereby avoids a dependence of the timestep restriction on the Mach ...
Giesselmann, Jan
core   +1 more source

Poisson Structures for PDEs Associated with Diffeomorphism Groups [PDF]

, 2004
We study Poisson and Lie-Poisson structures on the diffeomorphism groups with a smooth metric spray in connection with dynamics of nonlinear PDEs. In particular, we provide a precise analytic sense in which the time t map for the Euler equations of an ...
Vasylkevych, Sergiy
core   +1 more source

Fractional-order Euler functions for solving fractional integro-differential equations with weakly singular kernel

Advances in Difference Equations, 2018
In this paper, a new set of functions called fractional-order Euler functions (FEFs) is constructed to obtain the solution of fractional integro-differential equations.
Yanxin Wang, Li Zhu, Zhi Wang
doaj   +1 more source

Convergence of the Euler–Voigt Equations to the Euler Equations in Two Dimensions

Journal of Nonlinear Science
In this paper, we consider the two-dimensional torus and we study the convergence of solutions of the Euler-Voigt equations to solutions of the Euler equations, under several regularity settings. More precisely, we first prove that for weak solutions of the Euler equations with vorticity in $C([0,T];L^2(\mathbb{T}^2))$ the approximating velocity ...
Abbate, Stefano, Berselli, Luigi C., Crippa, Gianluca, Spirito, Stefano   +3 more
openaire   +4 more sources

Analysis of stability for stochastic delay integro-differential equations

Journal of Inequalities and Applications, 2018
In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
doaj   +1 more source

Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations

, 2013
A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke, Kloeden, Peter E., Mao, Xuerong   +2 more
core   +1 more source

Renormalized solutions of the 2D Euler equations [PDF]

, 2015
In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained via vanishing viscosity approximation are ...
Spirito, Stefano, Crippa, Gianluca
core   +1 more source