Extended phase-space symplectic-like integrators for coherent post-Newtonian Euler-Lagrange equations [PDF]
Physical Review D, 2021 Coherent or exact equations of motion for a conservative post-Newtonian Lagrangian formalism are the Euler-Lagrange equations without any terms truncated. They naturally conserve energy and/or angular momentum.
Guifan Pan, Xin Wu, Enwei Liang
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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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AIMS Mathematics, 2023 This paper considers a model-free control approach to Euler-Lagrange equations and proposes a new quantitative performance measure with its Lyapunov-based computation method.
H. Park, Jung Hoon Kim
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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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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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The first-order Euler-Lagrange equations and some of their uses [PDF]
, 2016 A bstractIn many nonlinear field theories, relevant solutions may be found by reducing the order of the original Euler-Lagrange equations, e.g., to first order equations (Bogomolnyi equations, self-duality equations, etc.).
Christoph Adam, F. Santamaría
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A sufficient condition for a finite-time $L_2 $ singularity of the 3d Euler Equations [PDF]
, 2005 A sufficient condition is derived for a finite-time $L_2 $ singularity of the 3d incompressible Euler equations, making appropriate assumptions on eigenvalues of the Hessian of pressure.
He, Xinyu
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Strong continuity for the 2D Euler equations [PDF]
, 2015 We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution.
Spirito, Stefano +2 more
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