计算具有无限规则端区域的特征值和共振的简单方法
A simple method of calculating eigenvalues and resonances in domains with infinite regular ends
AI总结:
提出一种避免对谱参数进行多次试值求解边值问题的新方法,用于计算具有规则端的无限域上的特征值和共振,并与Aslanyan等人的结果进行了比较。
摘要:
提出了一种解决具有规则端的无限域上谱问题的新方法,该方法避免了为许多谱参数试值求解边值问题。我们给出了特征值和共振的数值结果,并与Aslanyan、Parnovski和Vassiliev [{\em Q. J. Mech. Appl. Math.} {\bfseries 53} (2000), 429--447] 报告的结果进行了比较。
英文摘要:
A new approach is presented for the solution of spectral problems on infinite domains with regular ends, which avoids the need to solve boundary value problems for many trial values of the spectral parameter. We present numerical results both for eigenvalues and for resonances, comparing with results reported by Aslanyan, Parnovski and Vassiliev [{\em Q. J. Mech. Appl. Math.} {\bfseries 53} (2000), 429--447].
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。