Results 121 to 130 of about 7,785,042 (211)
Journal of Applied Mathematics, 2012 This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. The exponential θ-method is applied to p′(t)=β0ωμp(t−τ)/(ωμ+pμ(t−τ))−γp(t) and it is shown that the exponential
Qi Wang, Jiechang Wen
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Essentially nonoscillatory postprocessing filtering methods [PDF]
High order accurate centered flux approximations used in the computation of numerical solutions to nonlinear partial differential equations produce large oscillations in regions of sharp transitions.
Lafon, F., Osher, S.
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Existence for nonoscillatory solutions of second-order nonlinear differential equations
, 2007 In this paper, the existence of nonoscillatory solutions of the second-order nonlinear neutral differential equation [ r ( t ) ( x ( t ) + P ( t ) x ( t − τ ) ) ′ ] ′ + ∑ i = 1 m Q i ( t ) f i ( x ( t − σ i ) ) = 0 , t ⩾ t 0 , where m ⩾ 1 is an integer ...
Yong Zhou
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Oscillatory and nonoscillatory solutions of neutral differential equations [PDF]
Annales Polonici Mathematici, 2000 Consider the neutral differential equation \[ {d^n\over dt^n} \bigl[x(t)+ \lambda x(t-\tau) \bigr]+f\biggl( t,x\bigl(g(t) \bigr)\biggr) =0 \] with \(\lambda>0\), \(\tau>0\), \(g\in C([t_0,\infty))\), \(\lim_{t\to \infty} g(t)= \infty\), \(f\in C([t_0,\infty)\times\mathbb{R})\) and \(|f(t,u) |\leq F(t, |u|)\) where \(F\) is a continuous and ...
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A first order system least squares method for the Helmholtz equation [PDF]
, 2015 We present a first order system least squares (FOSLS) method for the Helmholtz equation at high wave number k, which always deduces Hermitian positive definite algebraic system.
Chen, Huangxin, Qiu, Weifeng
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Journal of Taibah University for Science, 2019 Some sufficient conditions are provided for the existence of nonoscillatory solutions of nonlinear second-order neutral differential equations with distributed deviating arguments. The main tool for proving our results is the Banach contraction principle.
M. Tamer Şenel, T. Candan, B. Çına
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Non-oscillatory spectral Fourier methods for shock wave calculations [PDF]
A non-oscillatory spectral Fourier method is presented for the solution of hyperbolic partial differential equations. The method is based on adding a nonsmooth function to the trigonometric polynomials which are the usual basis functions for the Fourier ...
Cai, Wei, Gottlieb, David, Shu, Chi-Wang
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An LU implicity scheme for high speed inlet analysis [PDF]
A numerical method is developed to analyze the inviscid flowfield of a high speed inlet by the solution of the Euler equations. The lower-upper implicit scheme in conjunction with adaptive dissipation proves to be an efficient and robust nonoscillatory ...
Jameson, A., Yoon, S.
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Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales
Advances in Difference Equations, 2019 In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales by employing Banach spaces and Krasnoselskii’s fixed
Yang-Cong Qiu
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Some Aspects of Essentially Nonoscillatory (ENO) Formulations for the Euler Equations, Part 3 [PDF]
An essentially nonoscillatory (ENO) formulation is described for hyperbolic systems of conservation laws. ENO approaches are based on smart interpolation to avoid spurious numerical oscillations. ENO schemes are a superset of Total Variation Diminishing (
Chakravarthy, Sukumar R.
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