Results 111 to 120 of about 7,785,042 (211)
, 2017 We describe a method for the numerical evaluation of normalized versions of the associated Legendre functions $P_\nu^{-\mu}$ and $Q_\nu^{-\mu}$ of degrees $0 \leq \nu \leq 1,000,000$ and orders $-\nu \leq \mu \leq \nu$ on the interval $(-1,1)$.
Bremer, James
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Multiple Scattering Theory for Two-dimensional Electron Gases in the Presence of Spin-Orbit Coupling
, 2005 In order to model the phase-coherent scattering of electrons in two-dimensional electron gases in the presence of Rashba spin-orbit coupling, a general partial-wave expansion is developed for scattering from a cylindrically symmetric potential.
Eric J. Heller +5 more
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Nonoscillatory half-linear difference equations and recessive solutions
Advances in Difference Equations, 2005 This paper is concerned with recessive and dominant solutions for the nonoscillatory second-order half-linear difference equations \[ \Delta(a_{n}\Phi(x_{n}))+b_{n}\Phi(x_{n+1})=0, \] where \(\Delta x_{n}=x_{n+1}-x_{n}\), \(\Phi(u)=| u| ^{p-2}u\) with \(p>1\), and \(\{a_{n}\},\{b_{n}\}\) are positive real sequences for \(n\geq1\). By using a uniqueness
M. CECCHI, Z. DOSLA, MARINI, MAURO
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Second-order accurate nonoscillatory schemes for scalar conservation laws [PDF]
Explicit finite difference schemes for the computation of weak solutions of nonlinear scalar conservation laws is presented and analyzed. These schemes are uniformly second-order accurate and nonoscillatory in the sense that the number of extrema of the ...
Huynh, Hung T.
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A nonoscillatory, characteristically convected, finite volume scheme for multidimensional convection problems [PDF]
A new, nonoscillatory upwind scheme is developed for the multidimensional convection equation. The scheme consists of an upwind, nonoscillatory interpolation of data to the surfaces of an intermediate finite volume; a characteristic convection of surface
Huynh, Hung T., Yokota, Jeffrey W.
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Nonoscillatory Solutions of Second Order Differential Equations with Integrable Coefficients [PDF]
Proceedings of the American Mathematical Society, 1990 The asymptotic behavior of nonoscillatory solutions of the equation x + a ( t ) | x | γ sgn x = 0 , γ > 0 x + a\left ( t
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Journal of Numerical Analysis and Approximation Theory, 2012 In this paper, we establish several necessary and sufficient conditions for oscillation of the solutions of the following even order differential equation\[x^{(n)}(t) + q(t)x^\gamma (t) = 0, \quad \mbox{$n$ is even},\]where \( q(t) \in C([t_0 ,\infty ),{\
Cheng Jin-Fa, Chu Yu-Ming
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Abstract and Applied Analysis, 2013 Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient ...
Mervan Pašić
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ULTRA-SHARP nonoscillatory convection schemes for high-speed steady multidimensional flow [PDF]
For convection-dominated flows, classical second-order methods are notoriously oscillatory and often unstable. For this reason, many computational fluid dynamicists have adopted various forms of (inherently stable) first-order upwinding over the past few
Leonard, B. P., Mokhtari, Simin
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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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