典型文献
INVERSION OF TRACE FORMULAS FOR A STURM-LIOUVILLE OPERATOR
文献摘要：
This paper revisits the classical problem"Can we hear the density of a string?",which can be formulated as an inverse spectral problem for a Sturm-Liouville operator.Instead of inverting the map from density to spectral data directly,we propose a novel method to reconstruct the density based on inverting a sequence of trace formulas which bridge the density and its spectral data clearly in terms of a series of nonlinear integral equations.Numerical experiments are presented to verify the validity and effectiveness of the proposed numerical algorithm.The impact of different parameters involved in the algorithm is also discussed.
文献关键词：
中图分类号：
作者姓名：
Xiang Xu;Jian Zhai
作者机构：
School of Mathematical Sciences,Zhejiang University,Hangzhou 310058,China;Institute for Advanced Study,The Hong Kong University of Science and Technology,Hong Kong,China
文献出处：
引用格式：
[1]Xiang Xu;Jian Zhai-.INVERSION OF TRACE FORMULAS FOR A STURM-LIOUVILLE OPERATOR)[J].计算数学（英文版）,2022(03):396-414
A类：
INVERSION,STURM,LIOUVILLE,OPERATOR
B类：
OF,TRACE,FORMULAS,This,paper,revisits,classical,problem,Can,we,hear,density,string,which,can,be,formulated,inverse,spectral,Sturm,Liouville,operator,Instead,inverting,map,from,data,directly,novel,method,reconstruct,sequence,trace,formulas,bridge,clearly,terms,series,nonlinear,integral,equations,Numerical,experiments,are,presented,verify,validity,effectiveness,proposed,numerical,algorithm,impact,different,parameters,involved,also,discussed
AB值：
0.631388
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