诺伊曼节点域。
Neumann nodal domains.
机构信息
Department of Physics and Astronomy, Texas A&M University, , College Station, TX 77843-3368, USA.
出版信息
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120505. doi: 10.1098/rsta.2012.0505. Print 2014 Jan 28.
Abstract
As an alternative to nodal domains in the usual sense, we propose a partition of the domain of a real-valued eigenfunction in R2 by trajectories of the gradient, linking saddle points to extrema. Its most elementary properties are listed and exemplified. The main point is that the problem of avoided crossings is largely eliminated.
摘要
作为通常意义上的节点域的替代，我们提出了通过梯度轨迹对 R2 中实值特征函数的域进行划分，将鞍点与极值点连接起来。列出并举例说明了其最基本的性质。主要的观点是，避免交叉的问题在很大程度上得到了解决。
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