Results 51 to 60 of about 1,272,822 (190)
Mathematics, 2023 In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
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
Advances in Mechanical Engineering, 2019 The implicit methods on Lie group are developed for multibody system dynamics. To avoid the violation of the displacement, velocity and acceleration constraints of the nonlinear differential-algebraic equations, the constraint-stabilized equations on Lie
Jieyu Ding, Zhenkuan Pan, Wei Zhang
doaj +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
On Approximate Euler Differential Equations
Abstract and Applied Analysis, 2009 We solve the inhomogeneous Euler differential equations of the form x2y′′(x)+αxy′(x)+βy(x)=∑m=0∞amxm and apply this result to the approximation of analytic functions of a special type by the solutions of Euler differential equations.
Soon-Mo Jung, Seungwook Min
doaj +1 more source
WENO SCHEMES FOR SOLUTION OF UNSTEADY ONE-DIMENSIONAL GAS DYNAMICS TEST PROBLEMS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2016 Creation of test solutions is an essential element in the general design contents for numerical methods aimed at integration of Euler equations. We consider numerical solution of Euler equations describing flows of inviscid compressible gas and allowing ...
P. V. Bulat, K. N. Volkov
doaj +1 more source
Variational Integrals of a Class of Nonhomogeneous 𝒜-Harmonic Equations
Abstract and Applied Analysis, 2014 We introduce a class of variational integrals whose Euler equations are nonhomogeneous 𝒜-harmonic equations. We investigate the relationship between the minimization problem and the Euler equation and give a simple proof of the existence of some ...
Guanfeng Li, Yong Wang, Gejun Bao
doaj +1 more source
Mittag-Leffler Euler ∇-differences for Caputo fractional-order systems
Results in Physics, 2022 Exponential Euler differences have got rapid development recently for integer-order differential equations. But there are few papers focusing on this difference to fractional differential equations.
Tianwei Zhang, Yongkun Li, Jianwen Zhou
doaj +1 more source
Derivation of an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations [PDF]
, 2006 Adjoint consistency - in addition to consistency - is the key requirement for discontinuous Galerkin (DG) discretizations to be of optimal order in L2 as well as measured in terms of target functionals.
Hartmann, Ralf
core
Almost sure exponential stability of backward Euler–Maruyama discretizations for hybrid stochastic differential equations [PDF]
, 2011 This is a continuation of the first author's earlier paper [1] jointly with Pang and Deng, in which the authors established some sufficient conditions under which the Euler-Maruyama (EM) method can reproduce the almost sure exponential stability of the ...
Shen, Yi, Mao, Xuerong, Gray, Alison
core +3 more sources