Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
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22 citations
TL;DR: A survey of spline techniques for boundary value problems in ODEs can be found in this article, where the authors discuss the summary of the articles between 2000 and 2007 based on cubic, quintic, and sextic splines.
Abstract: In the present paper we describe a survey on recent spline techniques for solving boundary value problems in ordinary differential equations. Here we discuss the summary of the articles between 2000 and 2007 based on cubic, quintic, and sextic splines. Comparisons of methods with our own critical comments as remarks have been included.
22 citations
TL;DR: In this paper, the authors studied log canonical thresholds on quartic threefolds, quintic fourfolds and double spaces, and showed that they have the same Kahler-Einstein metrics.
Abstract: We study log canonical thresholds on quartic threefolds, quintic fourfolds, and double spaces. As an important application, we show that they have Kahler–Einstein metrics if they are general.
22 citations
TL;DR: The existence and stability of opticalsolitons in the semi-infinite gap of parity-time (PT)-symmetric optical lattices with competing cubic and quintic nonlinearities are investigated numerically and the stability of both fundamental and dipole solitons is studied in detail.
Abstract: The existence and stability of optical solitons in the semi-infinite gap of parity-time (PT)-symmetric optical lattices with competing cubic and quintic nonlinearities are investigated numerically. The fundamental and dipole solitons can exist only with focusing quintic nonlinearity; however, they are always linearly unstable. With the competing effect between cubic and quintic nonlinearities, the strength of the quintic nonlinearity should be larger than a threshold for the solitons' existence when the strength of the focusing cubic nonlinearity is fixed. The stability of both fundamental and dipole solitons is studied in detail. When the strength of the focusing quintic nonlinearity is fixed, solitons can exist at the whole interval of the strength of the cubic nonlinearity, but only a small part of the fundamental solitons are stable. We also study numerically nonlinear evolution of stable and unstable PT solitons under perturbation.
22 citations
TL;DR: A C 2 piecewise quintic interpolating scheme is described for values of position, gradient and Hessian at scattered points in two variables on the triangulation with minimal split and an open problem is solved.
22 citations