Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]
, 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 +2 more
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Efficient upwind algorithms for solution of the Euler and Navier-stokes equations [PDF]
, 1995 An efficient three-dimensionasl tructured solver for the Euler and Navier-Stokese quations is developed based on a finite volume upwind algorithm using Roe fluxes. Multigrid and optimal smoothing multi-stage time stepping accelerate convergence.
McNeil, C. Y.
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Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]
, 2011 By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +2 more
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Multidimensional transonic shock waves and free boundary problems
Bulletin of Mathematical Sciences, 2022 We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
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Some quasi-analytical solutions for propagative waves in free surface Euler equations
Comptes Rendus. Mathématique, 2021 This note describes some quasi-analytical solutions for wave propagation in free surface Euler equations and linearized Euler equations. The obtained solutions vary from a sinusoidal form to a form with singularities. They allow a numerical validation of
Bristeau, Marie-Odile +4 more
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Zero Mach number limit of the compressible Euler–Korteweg equations
Boundary Value Problems, 2020 In this paper, we investigate the zero Mach number limit for the three-dimensional compressible Euler–Korteweg equations in the regime of smooth solutions.
Yeping Li, Gang Zhou
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Vortex Solutions for Thermohaline circulation Equations [PDF]
Journal of Mahani Mathematical Research, 2023 The main objective of this article is to establish a new model and find some vortex axisymmetric solutions of finite core size for this model. We introduce the hydrodynamical equations governing the atmospheric circulation over the tropics, the ...
Mahdi Kamandar
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AIP Advances, 2023 The principles underlying the variational approach prove to be invaluable tools in articulating physical phenomena, particularly when dealing with conserved quantities.
Ashraful Islam
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Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials
Mathematics, 2022 One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials ...
Cheon-Seoung Ryoo, Jung-Yoog Kang
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Predicting airfoil stalling dynamics using upwind numerical solutions to non-viscous equations
Results in Engineering, 2023 Over the last few decades, researchers have been focusing on determining the critical attack angle at which dynamic stall occurs. This angle is usually determined by solving the Navier-Stokes equations, which include viscosity, pressure, gravity, and ...
Tohid Adibi +5 more
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