Results 101 to 110 of about 4,377 (209)
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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NONOSCILLATORY SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH OSCILLATING COEFFICIENTS
Demonstratio Mathematica, 1992 Nonoscillatory solutions of delay differential equations with oscillatory coefficients of the form \[ y'(t)+P_ 0(t)y(t)+\sum_{i=1}^ n P_ i(t)y(t-T_ i(t))=0\tag{1} \] are considered. The main results are: Theorem 1. Consider differential equation (1), where \(P_ 0(t)\), \(P_ i(t)\) and \(T_ i(t)\) are continuous functions such that \(| P_ 0(t)|\leq P_ 0\
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MathematicsThis paper aims to study the asymptotic properties of nonoscillatory solutions (eventually positive or negative) of a class of third-order canonical neutral differential equations.
Hail S. Alrashdi +4 more
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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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An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments
, 2017 We describe a method for the rapid numerical evaluation of the Bessel functions of the first and second kinds of nonnegative real orders and positive arguments.
Bremer, James
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High-Order Energy Stable WENO Schemes [PDF]
, 2008 A new third-order Energy Stable Weighted Essentially NonOscillatory (ESWENO) finite difference scheme for scalar and vector linear hyperbolic equations with piecewise continuous initial conditions is developed.
Carpenter, Mark H., Yamaleev, Nail K.
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Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations [PDF]
Opuscula Mathematica, 2006 In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form \[\Delta^m(x_n+p_nx_{n-\tau})+f(n,x_{\sigma (n)})=h_n.\] We present conditions under which all nonoscillatory solutions of the above ...
Małgorzata Migda
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Analytical Study of the Tumbling Motions of Vehicles Entering Planetary Atmospheres [PDF]
The tumbling motion of vehicles entering planetary atmospheres is analyzed. A differential equation governing the tumbling motion, its arrest, and the subsequent oscillatory motion is obtained and identified as the equation for the fifth Painleve ...
Tobak, Murray
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On the numerical solution of second order differential equations in the high-frequency regime
, 2014 We describe an algorithm for the numerical solution of second order linear differential equations in the highly-oscillatory regime. It is founded on the recent observation that the solutions of equations of this type can be accurately represented using ...
Bremer, James
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On Nonoscillation of Advanced Differential Equations with Several Terms
Abstract and Applied Analysis, 2011 Existence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal
L. Berezansky, E. Braverman
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