Convergence of Gauss type product formulas for the evaluation of two-dimensional Cauchy principal value integrals

Giuliana Criscuolo; Giuseppe Mastroianni

doi:10.1007/bf01937356

Convergence of Gauss type product formulas for the evaluation of two-dimensional Cauchy principal value integrals

BIT Numerical Mathematics ◽

10.1007/bf01937356 ◽

1987 ◽

Vol 27 (1) ◽

pp. 72-84 ◽

Cited By ~ 7

Author(s):

Giuliana Criscuolo ◽

Giuseppe Mastroianni

Keyword(s):

Two Dimensional ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Gauss Type ◽

Principal Value ◽

Product Formulas

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Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals

Numerische Mathematik ◽

10.1007/bf01390121 ◽

1984 ◽

Vol 43 (2) ◽

pp. 161-173 ◽

Cited By ~ 17

Author(s):

Giovanni Monegato

Keyword(s):

Numerical Evaluation ◽

Two Dimensional ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Principal Value ◽

Product Formulas

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On the convergence of product formulas for the evaluation of certain two-dimensional Cauchy principal value integrals

Mathematics of Computation ◽

10.1090/s0025-5718-1989-0971404-7 ◽

1989 ◽

Vol 52 (185) ◽

pp. 95-95 ◽

Cited By ~ 1

Author(s):

Giuseppe Mastroianni

Keyword(s):

Two Dimensional ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Principal Value ◽

Product Formulas

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Numerical evaluation of two dimensional complex Cauchy principal value integrals

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.03.086 ◽

2012 ◽

Vol 218 (19) ◽

pp. 9980-9982

Author(s):

M. Acharya ◽

S.N. Mohapatra ◽

B.P. Acharya

Keyword(s):

Numerical Evaluation ◽

Two Dimensional ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Principal Value

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The evaluation of the error term in some Gauss-type formulae for the approximation of Cauchy Principal Value integrals

International Journal of Mathematical Education in Science and Technology ◽

10.1080/00207390701582203 ◽

2008 ◽

Vol 39 (1) ◽

pp. 69-76 ◽

Cited By ~ 2

Author(s):

H. V. Smith

Keyword(s):

Error Term ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Gauss Type ◽

Principal Value

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Gauss type quadrature rules for Cauchy principal value integrals

Mathematics of Computation ◽

10.1090/s0025-5718-1979-0514825-2 ◽

1979 ◽

Vol 33 (145) ◽

pp. 301-309 ◽

Cited By ~ 62

Author(s):

David Elliott ◽

D. F. Paget

Keyword(s):

Quadrature Rules ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Gauss Type ◽

Principal Value

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Numerical evaluation of two-dimensional Cauchy Principal Value integrals

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.10.017 ◽

2013 ◽

Vol 225 ◽

pp. 807-810 ◽

Cited By ~ 1

Author(s):

M.M. Nayak ◽

M. Acharya ◽

B.P. Acharya

Keyword(s):

Numerical Evaluation ◽

Two Dimensional ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Principal Value

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Error expansion of piecewise constant interpolation rule for certain two-dimensional Cauchy principal value integrals

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.08.001 ◽

2016 ◽

Vol 72 (9) ◽

pp. 2119-2142 ◽

Cited By ~ 2

Author(s):

Jin Li ◽

Qingli Zhao ◽

Hongying Huang

Keyword(s):

Two Dimensional ◽

Piecewise Constant ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Piecewise Constant Interpolation ◽

Principal Value ◽

Error Expansion

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On the Convergence of Product Formulas for the Numerical Evaluation of Derivatives of Cauchy Principal Value Integrals

SIAM Journal on Numerical Analysis ◽

10.1137/0725043 ◽

1988 ◽

Vol 25 (3) ◽

pp. 713-727 ◽

Cited By ~ 11

Author(s):

Giuliana Criscuolo ◽

Giuseppe Mastroianni

Keyword(s):

Numerical Evaluation ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Principal Value ◽

Derivatives Of ◽

Product Formulas

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Asymptotic error expansions and splitting extrapolation algorithm for two classes of two-dimensional Cauchy principal-value integrals

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.03.056 ◽

2019 ◽

Vol 357 ◽

pp. 107-118

Author(s):

Yanying Ma ◽

Jin Huang

Keyword(s):

Two Dimensional ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Extrapolation Algorithm ◽

Asymptotic Error ◽

Splitting Extrapolation ◽

Principal Value ◽

Asymptotic Error Expansions

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Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.09.025 ◽

2017 ◽

Vol 74 (10) ◽

pp. 2608-2637 ◽

Cited By ~ 1

Author(s):

Jin Li ◽

Hongxing Rui

Keyword(s):

Trapezoidal Rule ◽

Two Dimensional ◽

Cauchy Principal ◽

Cauchy Principal Value ◽

Cauchy Principal Value Integrals ◽

Principal Value ◽

Error Expansion

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