ANALYTICAL METHODS FOR RECOVERING COEFFICIENTS IN DIFFERENTIAL-EQUATIONS FROM SPECTRAL DATA

被引:157
作者
MCLAUGHLIN, JR
机构
[1] Rensselaer Polytechnic Inst, Dep of, Mathematical Sciences, Troy, NY, USA, Rensselaer Polytechnic Inst, Dep of Mathematical Sciences, Troy, NY, USA
关键词
MATHEMATICAL MODELS - SPECTRUM ANALYSIS;
D O I
10.1137/1028003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper analytical methods for recovering coefficients from spectral data are discussed. Properties of these methods are given and mathematical models for which these methods might apply are presented.
引用
收藏
页码:53 / 72
页数:20
相关论文
共 79 条
[1]   OSCILLATIONS OF THE EARTH [J].
ALTERMAN, Z ;
JAROSCH, H ;
PEKERIS, CL .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 252 (1268) :80-95
[2]  
AMBARZUMIAN V, 1929, PHYS, V53, P690
[3]   ITERATIVE SOLUTION OF INVERSE STURM-LIOUVILLE PROBLEM [J].
BARCILON, V .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (04) :429-436
[4]   UNIQUENESS OF INVERSE EIGENVALUE PROBLEMS [J].
BARCILON, V .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1974, 38 (02) :287-298
[5]   MULTIPLICITY OF SOLUTIONS OF THE INVERSE PROBLEM FOR A VIBRATING BEAM [J].
BARCILON, V .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1979, 37 (03) :605-613
[6]   SOLUTION OF INVERSE EIGENVALUE PROBLEMS OF HIGH ORDERS [J].
BARCILON, V .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1974, 39 (01) :143-154
[7]   NOTE ON A FORMULA OF GELFAND AND LEVITAN [J].
BARCILON, V .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 48 (01) :43-50
[8]  
BARCILON V, 1977, J GEOPHYS-Z GEOPHYS, V43, P139
[9]  
BARCILON V, 1975, GEOPHYS J ROY ASTR S, V42, P375, DOI 10.1111/j.1365-246X.1975.tb05867.x
[10]   DISCRETE MODEL OF INVERSE LOVE WAVE PROBLEM [J].
BARCILON, V .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1976, 44 (01) :61-76