Results 31 to 40 of about 1,272,822 (190)
The Lie group Euler methods of multibody system dynamics with holonomic constraints
Advances in Mechanical Engineering, 2018 The Euler methods on Lie group are developed for the differential–algebraic equations of multibody system dynamics with holonomic constraints. The implicit Euler method is used to solve the differential–algebraic equations as Euler–Lagrange equations on ...
Jieyu Ding, Zhenkuan Pan
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Differential-integral Euler–Lagrange equations [PDF]
Iranian Journal of Numerical Analysis and OptimizationWe study the calculus of variations problem in the presence of a system of differential-integral (D-I) equations. In order to identify the necessary optimality conditions for this problem, we derive the so-called D-I Euler–Lagrange equations.
Mohammedd Shehata
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On a Quasi-Neutral Approximation to the Incompressible Euler Equations
Journal of Applied Mathematics, 2012 We rigorously justify a singular Euler-Poisson approximation of the incompressible Euler equations in the quasi-neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler-Poisson systems to the incompressible ...
Jianwei Yang, Zhitao Zhuang
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Fractal and Fractional, 2023 In this paper, a numerical approach for solving systems of nonlinear fractional differential equations (FDEs) is presented Using the Euler wavelets technique and associated operational matrices for fractional integration, we try to solve those systems of
Sadiye Nergis Tural Polat +1 more
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On Euler's equation and 'EPDiff'
Journal of Geometric Mechanics, 2013 We study a family of approximations to Euler's equation depending on two parameters $\varepsilon,η\ge 0$. When $\varepsilon=η=0$ we have Euler's equation and when both are positive we have instances of the class of integro-differential equations called EPDiff in imaging science. These are all geodesic equations on either the full diffeomorphism group $\
Mumford, David, W. Michor, Peter
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Advances in Difference Equations, 2021 Through the Lie symmetry analysis method, the axisymmetric, incompressible, and inviscid fluid is studied. The governing equations that describe the flow are the Euler equations. Under intensive observation, these equations do not have a certain solution
R. Sadat +3 more
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Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations [PDF]
, 1991 Elsner L, Mehrmann V. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik.
Mehrmann, Volker, Elsner, Ludwig
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Ulam stability for second-order linear differential equations with three variable coefficients
Results in Applied Mathematics, 2022 This study deals with Ulam stability of second-order linear differential equations of the form e(x)y′′+f(x)y′+g(x)y=0. The method established by Cădariu et al. (2020) is extended.
Masakazu Onitsuka
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Hyers–Ulam Stability for Quantum Equations of Euler Type
Discrete Dynamics in Nature and Society, 2020 Many applications using discrete dynamics employ either q-difference equations or h-difference equations. In this work, we introduce and study the Hyers–Ulam stability (HUS) of a quantum (q-difference) equation of Euler type.
Douglas R. Anderson, Masakazu Onitsuka
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +7 more
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