On the solution of a class of Cauchy integral equations

被引：5

作者：

De Micheli, E

Viano, GA

机构：

[1] CNR, Ist Cibernet & Biofis, I-16149 Genoa, Italy

[2] Univ Genoa, Dipartimento Fis, Ist Nazl Fis Nucl, I-16146 Genoa, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 246卷 / 02期

关键词：

D O I：

10.1006/jmaa.2000.6815

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a previous paper we have presented a new method for solving a class of Cauchy integral equations, In this work we discuss in detail how to manage this method numerically. when only a finite and noisy data set is available: particular attention is focused on the question of the numerical stability. (C) 2000 Academic Press.

引用

页码：520 / 543

页数：24

共 12 条

[1] [Anonymous], 1976, METHODES RESOLUTION
[2] Hausdorff moments, hardy spaces, and power series
De Micheli, E
Viano, GA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 234 (01) : 265 - 286
[3] ERDELYI A, 1953, BATEMAN MANUSCRIPT P, V1
[4] Erdelyi A., 1953, Bateman Manuscript project, higher transcendental functions, V2
[5] GROETSCH CW, 1984, THORY TIKHONOV REGUL
[6] ASYMPTOTICS OF POLLACZEK POLYNOMIALS AND THEIR ZEROS
ISMAIL, MEH
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (02) : 462 - 473
[7] CONTINUOUS DEPENDENCE ON DATA FOR SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH A PRESCRIBED BOUND
JOHN, F
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1960, 13 (04) : 551 - 585
[8] The source identification problem in electromagnetic theory
Magnoli, N
Viano, GA
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (05) : 2366 - 2388
[9] NECESSITY OF NEARLY BEST POSSIBLE METHODS FOR ANALYTIC CONTINUATION OF SCATTERING DATA
MILLER, K
VIANO, GA
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (08) : 1037 - 1048
[10] Stein E. M., 1965, ARK MAT, P553

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