分岔系数的二次插值与Rayleigh-Ritz方法
Quadratic Interpolation and Rayleigh-Ritz Methods for Bifurcation Coefficients
AI总结：
通过Rayleigh-Ritz近似线性化问题的特征向量，并利用Hilbert空间之间的二次插值，研究非线性分支问题中分岔系数的估计及其收敛速率。
摘要：
本文研究通过Rayleigh-Ritz近似相应线性化问题的特征向量来估计非线性分支问题中的分岔系数。关键在于近似在足够强的范数下收敛，以使非线性项连续。利用Hilbert空间之间的二次插值来寻求分岔系数的尖锐收敛速率结果。给出了来自常微分和偏微分问题的例子。
英文摘要：
In this article we study the estimation of bifurcation coefficients in nonlinear branching problems by means of Rayleigh-Ritz approximation to the eigenvectors of the corresponding linearized problem. It is essential that the approximations converge in a norm of sufficient strength to render the nonlinearities continuous. Quadratic interpolation between Hilbert spaces is used to seek sharp rate of convergence results for bifurcation coefficients. Examples from ordinary and partial differential problems are presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
