On the regularization of Cauchy-type integral operators via the density interpolation method and applications

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.02.002 ◽

2021 ◽

Vol 87 ◽

pp. 107-119

Author(s):

Vicente Gómez ◽

Carlos Pérez-Arancibia

Keyword(s):

Interpolation Method ◽

Integral Operators ◽

Cauchy Type ◽

Cauchy Type Integral ◽

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Modeling of aerodynamic and wave diffraction problems and extensions of Cauchy type integral operators on closed and open curves

Differential Equations ◽

10.1007/bf02754305 ◽

2000 ◽

Vol 36 (9) ◽

pp. 1310-1322 ◽

Author(s):

G. M. Vainikko ◽

I. K. Lifanov

Keyword(s):

Wave Diffraction ◽

Integral Operators ◽

Cauchy Type ◽

Cauchy Type Integral ◽

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The properties and iterative approximation of Cauchy-type integral operators associated with the Helmholtz equation

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2018.1471073 ◽

2018 ◽

Vol 64 (4) ◽

pp. 631-648

Author(s):

Long Gao ◽

Liping Wang ◽

Pei Yang

Keyword(s):

Helmholtz Equation ◽

Integral Operators ◽

Cauchy Type ◽

Iterative Approximation ◽

Cauchy Type Integral ◽

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Plemelj Formula of Cauchy-Type Integral of Random Process with Second Order Moment

Journal of Mathematics Research ◽

10.5539/jmr.v2n4p28 ◽

2010 ◽

Vol 2 (4) ◽

Author(s):

Feng Lin ◽

Cun Yao

Keyword(s):

Random Process ◽

Second Order ◽

Order Moment ◽

Cauchy Type ◽

Cauchy Type Integral ◽

Plemelj Formula ◽

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Numerical implementations of Cauchy-type integral equations

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf03012353 ◽

2002 ◽

Vol 9 (1) ◽

pp. 253-260

Author(s):

S. Abbasbandy ◽

Du Jin-Yuan

Keyword(s):

Integral Equations ◽

Cauchy Type ◽

Cauchy Type Integral ◽

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Special Transformations of Cauchy Type Integral Spaces

Complex Analysis, Operators, and Related Topics ◽

10.1007/978-3-0348-8378-8_30 ◽

2000 ◽

pp. 385-392

Author(s):

Genrikh Ts. Tumarkin

Keyword(s):

Cauchy Type ◽

Cauchy Type Integral ◽

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A cauchy-type integral equation arising in potential theory†

Applicable Analysis ◽

10.1080/00036817408839079 ◽

1974 ◽

Vol 4 (1) ◽

pp. 1-8 ◽

Author(s):

M. Lowengrub ◽

R. P. Srivastav

Keyword(s):

Integral Equation ◽

Potential Theory ◽

Cauchy Type ◽

Cauchy Type Integral ◽

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3. Cauchy Type Integral And Solution Of Singular Integral Equations

Singular Integral Equations’ Methods for the Analysis of Microwave Structures ◽

10.1515/9783110941968-005 ◽

2004 ◽

pp. 29-40

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Type ◽

Cauchy Type Integral ◽

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On an analogue of cauchy's formula for H p , 1/2 ≤p<1, and the cauchy type integral of a singular measure

Complex Variables Theory and Application An International Journal ◽

10.1080/17476930008815306 ◽

2000 ◽

Vol 43 (2) ◽

pp. 139-149 ◽

Author(s):

Alexei Rybkin

Keyword(s):

Cauchy Type ◽

Singular Measure ◽

Cauchy Type Integral ◽

Type Integral ◽

Cauchy’S Formula ◽

Cauchy's Formula

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Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations

Ukrainian Mathematical Journal ◽

10.1007/s11253-006-0054-0 ◽

2006 ◽

Vol 58 (1) ◽

pp. 118-126 ◽

Author(s):

B. Schneider

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Cauchy Type ◽

Cauchy Type Integral ◽

Partial Differential ◽

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Some properties of a Cauchy type integral in a three-dimensional commutative algebra with one-dimensional radical

Monatshefte für Mathematik ◽

10.1007/s00605-019-01288-4 ◽

2019 ◽

Vol 189 (3) ◽

pp. 523-548

Author(s):

Roman Pukhtaievych ◽

Sergiy Plaksa

Keyword(s):

Commutative Algebra ◽

Three Dimensional ◽

Cauchy Type ◽

Cauchy Type Integral ◽

One Dimensional ◽

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