Bibliography for the Cauchy Principal Value

unabridged

 

  1. Improvement of the asymptotic behaviour of the Euler-Maclaurin formula for Cauchy principal value and Hadamard finite-part integrals
    Choi, U. Jin; Kim, Shin Wook; Yun, Beong
    In International Journal for Numerical Methods in Engineering, v 61, n 4, Sep 28, 2004, p 496-513, Compendex.
  2. Sigmoidal-trapezoidal quadrature for ordinary and Cauchy principal value integrals.
    Elliott, David
    ANZIAM J. 46 (2004), (E), E1--E69, MathSciNet.  
  3. A note on the stability analysis of a quadrature rule of interpolatory type for Cauchy principal value integrals.
    Kim, Philsu; Ahn, Soyoung; Choi, U Jin
    Int. Math. J. 3 (2003), no. 8, 825--835, MathSciNet.  
  4. On quadrature for Cauchy principal value integrals of oscillatory functions
    Capobianco M.R.; Criscuolo G.
    Journal of Computational and Applied Mathematics, 15 July 2003, vol. 156, no. 2, pp. 471-486(16), Ingenta.
  5. Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals  PDF  
    Kai Diethelm
    Anziam J., Vol. 42 , (2000/01), (E), pp. E1- E26, MathSciNet.  
  6. On the existence of principal values for the Cauchy integral on weighted Lebesgue spaces for non-doubling measures.
    García-Cuerva, J.; Martell, J. M.
    J. Fourier Anal. Appl. 7 (2001), no. 5, 469--487, MathSciNet.  
  7. Uniform Convergence Results For Certain Two-Dimensional Cauchy Principal Value Integrals  PDF  
    Elisabetta Santi
    Portugaliæ Mathematica,Vol. 57, No. 2, (2000), pp. 191-201, MathSciNet.  
  8. A method for determining the principal value of Cauchy integral.
    Marinescu, Constantin
    Bull. Transilv. Univ. Brasov Ser. B (N.S.) 7(42) (2000), 7--10, MathSciNet.  
  9. Principal values for the Cauchy integral and rectifiability.
    Tolsa, Xavier
    Proc. Amer. Math. Soc. 128 (2000), no. 7, 2111--2119, MathSciNet.  
  10. Recurrence relation for quadrature formulas of Cauchy principal value integrals of oscillatory kind
    Kumar, Sheo; Sharma, Seema
    Advances in Modelling and Analysis A, v 37, n 1-2, 2000, p 51-56, Compendex.
  11. Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals.
    Diethelm, Kai; Köhler, Peter
    J. Inequal. Appl. 5 (2000), no. 2, 167--190, MathSciNet.  
  12. Computation of the Cauchy principal value integrals on the real line.
    De Bonis, M. C.; Russo, M. G.
    Advanced special functions and applications (Melfi, 1999), 197--210, Proc. Melfi Sch. Adv. Top. Math. Phys., 1, Aracne, Rome, 2000, MathSciNet.  
  13. De-type quadrature formulae for Cauchy principal-value integrals and for Hadamard finite-part integrals.
    Ogata, Hidenori; Sugiura, Masaaki; Mori, Masatake
    Proceedings of the Second ISAAC Congress, Vol. 1 (Fukuoka, 1999), 357--366, Int. Soc. Anal. Appl. Comput., 7, Kluwer Acad. Publ., Dordrecht, 2000, MathSciNet.    
  14. Quadratures for Cauchy principal value integrals using cubic spline interpolations.
    Kumar, Sheo; Sangal, A. L.
    Indian J. Pure Appl. Math. 31 (2000), no. 10, 1313--1316, MathSciNet.   
  15. Axisymmetric Vortex Sheet Motion: Accurate Evaluation of the Principal Value Integral  PDF  
    Monika Nitsche
    SIAM Journal on Scientific Computing, Volume 21, Number 3, (1999), pp. 1066-1084
  16. A sinc quadrature subroutine for Cauchy principal value integrals
    Bialecki B.; Keast P.
    Journal of Computational and Applied Mathematics, 30 November 1999, vol. 112, no. 1, pp. 3-20(18), Ingenta.
  17. Regularity of the cauchy principal value of the local times of some levy processes
    Bertoin J.; Caballero M.-E.
    Bulletin des Sciences Mathematiques, January 1999, vol. 123, no. 1, pp. 47-58(12), Ingenta.
  18. Interpolatory product quadratures for Cauchy principal value integrals with Freud weights.
    Damelin, S. B.; Diethelm, Kai
    Numer. Math. 83 (1999), no. 1, 87--105, MathSciNet.  
  19. An Error Analysis of the Cauchy Principal Value Integral Evaluation by the IMT Scheme
    N. Mohankumar; A. Natarajan
    Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 454, No. 1968 (Jan., 1998), pp. 139-145, Jstor.  
  20. The numerical evaluation of Cauchy principal value integrals with non-standard weight functions.
    Criscuolo, G.; Scuderi, L.
    BIT 38 (1998), no. 2, 256--274, MathSciNet.   
  21. Numerical evaluation of Cauchy principal value integrals by means of nodal spline approximation.
    Dagnino, Catterina; Santi, Elisabetta
    Dédié au Professeur Dr. D. D. Stancu à l'occasion de son 70e anniversaire. Rev. Anal. Numér. Théor. Approx. 27 (1998), no. 1, 59--69, MathSciNet.  
  22. Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals
    Dagnino C.; Perotto S.; Santi E.
    Journal of Computational and Applied Mathematics, 16 March 1998, vol. 89, no. 2, pp. 225-235(11), Ingenta.
  23. Cotlar's inequality without the doubling condition and existence of principal values for the Cauchy integral of measures.
    Tolsa, Xavier
    J. Reine Angew. Math. 502 (1998), 199--235, MathSciNet.  
  24. Cauchy principal value integral using hybrid integral  
    Hiroshi Kai; Matu-Tarow Noda  
    ACM SIGSAM Bulletin, Volume 31 ,  Issue 3  (September 1997), pp. 37-38.  
  25. Cauchy's principal value of local times of Lévy processes with no negative jumps via continuous branching processes  
    Jean Bertoin  
    Electronic J. of Probability, Vol. 2,  (1997), Paper No. 6, pp. 1-12.
  26. New method for the numerical calculation of Cauchy principal value integrals in BEM applied to electromagnetics
    Huber, C.J.; Rucker, W.M.; Hoschek, R.; Richter, K.R.
    IEEE Transactions on Magnetics, v 33, n 2 pt 2, Mar, 1997, p 1386-1389, Compendex.
  27. A new algorithm for Cauchy principal value and Hadamard finite-part integrals
    Criscuolo G.
    Journal of Computational and Applied Mathematics, 17 February 1997, vol. 78, no. 2, pp. 255-275(21), Ingenta.
  28. Note on quadrature formulas of Chawla and Kumar for Cauchy principal value integrals
    Kumar, Sheo; Wadhawan, M.C.
    Advances in Modelling and Analysis A, v 32, n 2, 1997, p 57-62, Compendex.
  29. New error bounds for modified quadrature formulas for Cauchy principal value integrals
    Diethelm K.
    Journal of Computational and Applied Mathematics, 15 September 1997, vol. 82, no. 1, pp. 93-104(12), Ingenta.
  30. On non-linear transformations for the integration of weakly-singular and Cauchy principal value integrals
    Doblare, M.; Gracia, L.
    International Journal for Numerical Methods in Engineering, v 40, n 18, Sep 30, 1997, p 3325-3358, Compendex.
  31. On the error of quadrature formulae for Cauchy principal value integrals based on piecewise interpolation.
    Köhler, P.
    Approx. Theory Appl. (N.S.) 13 (1997), no. 3, 58--69, MathSciNet.  
  32. Approximation operators for principal values of Cauchy-type integrals. (Chinese)
    Zhang, Pei Xuan
    Shandong Daxue Xuebao Ziran Kexue Ban 32 (1997), no. 3, 283--290, MathSciNet.   
  33. On a problem of the optimal reconstruction of integrals in the sense of the principal Cauchy value and of the finite Hadamard value. (Russian)
    Onegov, L. A.
    Izv. Vyssh. Uchebn. Zaved. Mat. 1997, , no. 1, 28--33; translation in Russian Math. (Iz. VUZ) 41 (1997), no. 1, 26--31, MathSciNet.  
  34. The Use of Spline-on-Spline for the Approximation of Cauchy Principal Value Integrals
    Behforooz G.H.
    Applied Mathematics and Computation, November 1996, vol. 80, no. 1, pp. 23-32(10), Ingenta.
  35. Evaluations of Cauchy principal value integrals and weakly singular integrals in BEM and their applications
    Zhu, J.; Shah, A.H.; Datta, S.K.
    International Journal for Numerical Methods in Engineering, v 39, n 6, Mar 30, 1996, p 1017-1028, Compendex.
  36. On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines
    Bode E.; Hoempler C.; Santi E.
    Journal of Computational and Applied Mathematics, 10 July 1996, vol. 71, no. 1, pp. 1-14(14), Ingenta.
  37. Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals
    Diethelm, K.
    Numerische Mathematik, v 73, n 1, 1996, p 53, Compendex.
  38. Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators
    Dagnino C.; Lamberti P.
    Journal of Computational and Applied Mathematics, 17 December 1996, vol. 76, no. 1, pp. 231-238(8), Ingenta.
  39. Definiteness criterion for linear functionals and its application to Cauchy principal value quadrature
    Diethelm, Kai  
    Journal of Computational and Applied Mathematics, v 66, n 1-2, Jan 31, 1996, p 167-176, Compendex.
  40. The principal values and conjugate functions of Cauchy-type integrals. (Chinese)
    Zhang, Pei Xuan
    Shandong Daxue Xuebao Ziran Kexue Ban 31 (1996), no. 4, 397--402, MathSciNet.  
  41. On Cauchy principal value of integral with kernel density having infinitely discontinuous points
    Li, Danhen
    Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, v 23, n 2, Apr, 1996, pp. 6--12, Language: Chinese, English, Compendex.
  42. The Continuation Approach: A General Framework for the Analysis and Evaluation of Singular and Near-Singular Integrals
    Dan Rosen; Donald E. Cormack
    SIAM Journal on Applied Mathematics, Vol. 55, No. 3 (Jun., 1995), pp. 723-762, Jstor.  
  43. Definite quadrature formulae for Cauchy principal value integrals.
    Diethelm, K.
    Approximation theory and function series (Budapest, 1995), 175--186, Bolyai Soc. Math. Stud., 5, János Bolyai Math. Soc., Budapest, 1996, MathSciNet.  
  44. Subscribed Content A Comparison of Some Quadrature Methods for Approximating Cauchy Principal Value Integrals
    Natarajan A.; Mohankumar N.
    Journal of Computational Physics, February 1995, vol. 116, no. 2, pp. 365-368(0), Ingenta.
  45. Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates
    Diethelm K.
    Journal of Computational and Applied Mathematics, 29 December 1995, vol. 65, no. 1, pp. 97-114(18), Ingenta.
  46. Asymptotically sharp error estimates for modified compound quadrature formulae for Cauchy principal value integrals
    Kohler, P.
    Computing (Vienna/New York), v 55, n 3, 1995, p 255-269, Compendex.
  47. Quadrature formulas for Cauchy principal value integrals with kernel density containing a parameter. (Chinese)
    Wang, Xiao Lin
    J. Math. (Wuhan) 15 (1995), no. 1, 63--71, MathSciNet.  
  48. The Numerical Evaluation of a 2-D Cauchy Principal Value Integral Arising in Boundary Integral Equation Methods
    Giovanni Monegato
    Mathematics of Computation, Vol. 62, No. 206 (Apr., 1994), pp. 765-777, Jstor.  
  49. Complex logarithms, cauchy principal values, and the complex variable boundary element method
    Whitley, Robert J.; Hromadka, T.V. II
    Applied Mathematical Modelling, v 18, n 8, Aug, 1994, p 423-428, Compendex.
  50. Spline interpolation for Cauchy principal value integrals
    Wadhawan, M.C.; Kumar, Sheo
    Advances in Modelling and Analysis A: General Mathematical and Computer Tools, v 20, n 2-4, 1994, p 45-50, Compendex.
  51. A Comparison of Some Quadrature Methods for Approximating Cauchy Principal Value Integrals
    Natarajan, A.; Mohankumar, N.
    Journal of Engineering Design, v 516, n 4, 1994, p 365, Compendex.
  52. Direct evaluation of Cauchy-principal-value integrals in boundary elements for infinite and semi-infinite three-dimensional domains
    Pereira, O.J.B. Almeida; Parreira, P.
    Engineering Analysis with Boundary Elements, v 13, n 4, 1994, p 313-320, Compendex.
  53. Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals.
    Diethelm, Kai
    J. Comput. Appl. Math. 56 (1994), no. 3, 321--329, MathSciNet.  
  54. Error estimates for a quadrature rule for Cauchy principal value integrals
    Diethelm, Kai
    Proceedings of Symposia in Applied Mathematics, v 48, 1994, , pp. 287--291, Compendex.
  55. Singular and Near Singular Integrals in the Bem: A Global Approach
    Dan Rosen; Donald E. Cormack
    SIAM Journal on Applied Mathematics, Vol. 53, No. 2 (Apr., 1993), pp. 340-357, Jstor.  
  56. On the cauchy principal value of the surface integral in the boundary integral equation of 3D elasticity
    Mantic, Vladislav; Paris, Federico
    Engineering Analysis with Boundary Elements, v 12, n 4, 1993, p 289-292, Compendex.
  57. Infinite boundary elements with direct evaluation of Cauchy principal value integrals
    Parreira, P.; Pereira, Almeida O.J.B.
    Boundary Elements XV: Fluid Flow and Computational Aspects, 1993, p 469-482, Compendex.
  58. On bicubic transformation for the numerical evaluation of Cauchy principal value integrals
    Chen, T. Charles  
    Communications in Numerical Methods in Engineering, v 9, n 4, Apr, 1993, p 307-311, Compendex.
  59. Complex Gauss-Kronrod integration rules for certain Cauchy principal value integrals.
    Caliò, F.; Marchetti, E.
    Computing 50 (1993), no. 2, 165--173, MathSciNet.  
  60. Numerical computation of complex Cauchy principal value integrals
    Acharya, B.P.; Mahapatra, T.
    International Journal of Computer Mathematics, v 43, n 3-4, 1992, p 147-151, Compendex.
  61. Approximation of Cauchy principal value integrals by piecewise Hermite quartic polynomials by spline.
    Behforooz, G.
    Appl. Math. Lett. 5 (1992), no. 1, 75--78, MathSciNet.  
  62. Lobatto-Turán quadrature rules and Cauchy principal value integrals.
    Gori, L.; Santi, E.
    Studia Univ. Babes-Bolyai Math. 37 (1992), no. 2, 53--71, MathSciNet.  
  63. A study on Cauchy's principal value for generalized integrals with poles of arbitrary order. (Chinese)
    Chen, Yi Cheng
    J. Central China Normal Univ. Natur. Sci. 26 (1992), no. 2, 168--171, MathSciNet.  
  64. SINC quadratures for cauchy principal value integrals
    Bialecki, Bernard
    Numerical integration (Bergen, 1991), 81--92, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 357, Kluwer Acad. Publ., Dordrecht, 1992, Compendex.
  65. An Automatic Quadrature for Cauchy Principal Value Integrals
    Takemitsu Hasegawa; Tatsuo Torii
    Mathematics of Computation, Vol. 56, No. 194 (Apr., 1991), pp. 741-754, Jstor.  
  66. Uniform Convergence Results for Cauchy Principal Value Integrals
    Philip Rabinowitz
    Mathematics of Computation, Vol. 56, No. 194 (Apr., 1991), pp. 731-740, Jstor.  
  67. The evaluation of Cauchy principal value integrals in the boundary element method---A review
    M. Guiggiani
    Mathematical and Computer Modelling, Special Issue on BIEM/BEM, Vol. 15, No. 3--5, pp. 175--184, 1991.
  68. On the convergence of spline product quadratures for Cauchy principal value integrals
    Dagnino, C.; Santi, E.
    Journal of Computational and Applied Mathematics, v 36, n 2, Aug 27, 1991, p 181, Compendex.
  69. Principal values of Cauchy integrals, rectifiable measures and sets.
    Mattila, Pertti
    Harmonic analysis (Sendai, 1990), 165--169, ICM-90 Satell. Conf. Proc., Springer, Tokyo, 1991, MathSciNet.  
  70. Uniform convergence of Cauchy principal value integrals of interpolating splines.
    Rabinowitz, Philip
    Approximation interpolation and summability (Ramat Aviv, 1990/Ramat Gan, 1990), 225--231, Israel Math. Conf. Proc., 4, Bar-Ilan Univ., Ramat Gan, 1991, MathSciNet.  
  71. Generalized Noninterpolatory Rules for Cauchy Principal Value Integrals
    Philip Rabinowitz
    Mathematics of Computation, Vol. 54, No. 189 (Jan., 1990), pp. 271-279, Jstor.  
  72. Numerical Evaluation of Cauchy Principal Value Integrals with Singular Integrands
    Philip Rabinowitz
    Mathematics of Computation, Vol. 55, No. 191 (Jul., 1990), pp. 265-276, Jstor.  
  73. A Sinc-Hunter Quadrature Rule for Cauchy Principal Value Integrals
    Bernard Bialecki
    Mathematics of Computation, Vol. 55, No. 192 (Oct., 1990), pp. 665-681, Jstor.  
  74. A general algorithm for multidimensional Cauchy principal value integrals in the boundary element method
    M. Guiggiani; A. Gigante
    ASME J. of Applied Mechanics , Vol. 57, pp. 906--915, 1990.  
  75. Spline approximation for Cauchy principal value integrals
    Palamara Orsi, Annamaria  
    Journal of Computational and Applied Mathematics, v 30, n 2, May 28, 1990, p 191-201, Compendex.
  76. Noninterpolatory Integration Rules for Cauchy Principal Value Integrals
    P. Rabinowitz; D. S. Lubinsky
    Mathematics of Computation, Vol. 53, No. 187 (Jul., 1989), pp. 279-295, Jstor.  
  77. On the Convergence of Product Formulas for the Evaluation of Certain Two-Dimensional Cauchy Principal Value Integrals
    Giuseppe Mastroianni
    Mathematics of Computation, Vol. 52, No. 185 (Jan., 1989), pp. 95-101, Jstor.  
  78. Bi-cubic transformation for the numerical evaluation of the Cauchy Principal Value integrals in boundary methods
    Cerrolaza, M.; Alarcon, E.
    International Journal for Numerical Methods in Engineering, v 28, n 5, May, 1989, p 987-999, Compendex.
  79. Noninterpolatory integration rules for Cauchy principal value integrals.
    Rabinowitz, P.; Lubinsky, D. S.
    Math. Comp. 53 (1989), no. 187, 279--295, MathSciNet.  
  80. On some Turán-type integration rules for Cauchy principal value integrals.
    Gori Nicolò-Amati, L.; Santi, E.
    Approximation theory VI, Vol. I (College Station, TX, 1989), 295--298, Academic Press, Boston, MA, 1989, MathSciNet.  
  81. Convergence Results for Piecewise Linear Quadratures for Cauchy Principal Value Integrals
    Philip Rabinowitz
    Mathematics of Computation, Vol. 51, No. 184 (Oct., 1988), pp. 741-747, Jstor.  
  82. On the Convergence of Product Formulas for the Numerical Evaluation of Derivatives of Cauchy Principal Value Integrals
    Giuliana Criscuolo; Giuseppe Mastroianni
    SIAM Journal on Numerical Analysis, Vol. 25, No. 3 (Jun., 1988), pp. 713-727, Jstor.  
  83. Sinc-Nystrom Method for Numerical Solution of One-Dimensional Cauchy Singular Integral Equation Given on a Smooth Arc in the Complex Plane
    Bernard Bialecki; Frank Stenger
    Mathematics of Computation, Vol. 51, No. 183 (Jul., 1988), pp. 133-165, Jstor.  
  84. On The Convergence Of A Rule By Monegato For The Numerical Evaluation Of Cauchy Principal Value Integrals.
    Chiodo, Claudia; Crisuolo, Giuliana
    Computing (Vienna/New York), v 40, n 1, 1988, p 67-74, Compendex.
  85. On the solution to a Cauchy principal value integral equation which arises in fracture mechanics  
    A. K. Gautesen; J. Dundurs
    SIAM Journal on Applied Mathematics, Vol. 47, No. 1 (Feb., 1987), pp. 109-116, Jstor.  
  86. Quadrature Formulae for Cauchy Principal Value Integrals of Oscillatory Kind
    G. E. Okecha
    Mathematics of Computation, Vol. 49, No. 179 (Jul., 1987), pp. 259-268, Jstor.  
  87. On the Convergence of an Interpolatory Product Rule for Evaluating Cauchy Principal Value Integrals
    Giuliana Criscuolo; Giuseppe Mastroianni
    Mathematics of Computation, Vol. 48, No. 178 (Apr., 1987), pp. 725-735, Jstor.  
  88. Convergence Of Gauss Type Product Formulas For The Evaluation Of Two-Dimensional Cauchy Principal Value Integrals.
    Crisculolo, Giuliana; Mastroianni, Giuseppe
    BIT (Copenhagen), v 27, n 1, 1987, p 72-84, Compendex.
  89. Direct Computation Of Cauchy Principal Value Integrals In Advanced Boundary Elements.
    Guiggiani, Massimo; Casalini, Paolo
    International Journal for Numerical Methods in Engineering, v 24, n 9, Sep, 1987, p 1711-1720, Compendex.
  90. Convergence of Gauss-Christoffel formula with preassigned node for Cauchy principal-value integrals.
    Criscuolo, Giuliana; Mastroianni, Giuseppe
    J. Approx. Theory 50 (1987), no. 4, 326--340, MathSciNet.  
  91. Cauchy principal value integrals with infinitely many points of discontinuity of the kernel density. (Chinese)
    Wang, Jian Zhong
    Acta Math. Sci. (Chinese) 7 (1987), no. 3, 303--311, MathSciNet.  
  92. Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
    Apostolos Gerasoulis
    SIAM Journal on Numerical Analysis, Vol. 23, No. 4 (Aug., 1986), pp. 891-902, Jstor.  
  93. Stable Gauss-Kronrod Algorithm For Cauchy Principal-Value Integrals.
    Rabinowitz, P.  
    Computers & Mathematics With Applications, V 12B, N 5-6, Sep-Dec, 1986, P 1249-1254, Compendex.
  94. On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
    N. I. Ioakimidis
    Mathematics of Computation, Vol. 44, No. 169 (Jan., 1985), pp. 191-198, Jstor.  
  95. Computation Of The Roots Of Cauchy Type Principal Value Integrals.
    Anastasselou, Eleni G.  
    International Journal Of Computer Mathematics, V 16, N 1, Aug, 1984, P 85-96, Compendex.
  96. Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals.
    Monegato, Giovanni
    Numer. Math. 43 (1984), no. 2, 161--173, MathSciNet.  
  97. Some interpolatory rules for the approximative evaluation of complex Cauchy principal value integrals.
    Milovanovic, G. V.; Acharya, B. P.; Pattnaik, T. N.
    Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 14 (1984), no. 2, 89--100, MathSciNet.
  98. An algorithm for the numerical evaluation of a Cauchy principal value integral.
    Mastroianni, G.; Occorsio, M. R.
    Ricerche Mat. 33 (1984), no. 1, 3--18, MathSciNet.    
  99. Gauss-Kronrod Integration Rules for Cauchy Principal Value Integrals
    Philip Rabinowitz
    Mathematics of Computation, Vol. 41, No. 163 (Jul., 1983), pp. 63-78, Jstor.  
  100. On The Convergence Of Some Quadrature Rules For Cauchy Principal-Value And Finite-Part Integrals.
    Tsamasphyros, G.; Theocaris, P. S.
    Computing (Vienna/New York), v 31, n 2, 1983, p 105-114, Compendex.
  101. Interpolationsquadratur für Cauchy-Hauptwertintegrale. (German)
    [An interpolation quadrature for Cauchy principal values of integrals]
    Strauß, Raimond Eine
    Rostock. Math. Kolloq. No. 22 (1983), 57--66, MathSciNet.   
  102. On approximation of complex Cauchy principal value integrals.
    Acharya, B. P.; Das, R. N.
    J. Orissa Math. Soc. 1 (1982), no. 2, 43--50, MathSciNet.  
  103. A generalization of the concept of Cauchy-type principal value integrals for plane elasticity crack problems.
    Ioakimidis, N. I.
    Z. Angew. Math. Mech. 62 (1982), no. 12, 697--699, MathSciNet.  
  104. Cubic Splines and Approximate Solution of Singular Integral Equations
    Erica Jen; R. P. Srivastav
    Mathematics of Computation, Vol. 37, No. 156 (Oct., 1981), pp. 417-423, Jstor.  
  105. Numerical determination of Cauchy principal value integrals.
    Acharya, B. P.; Das, R. N.
    Computing 27 (1981), no. 4, 373--378, MathSciNet.  
  106. Modified Quadrature Rules For The Numerical Evaluation Of Certain Cauchy Principal Values.
    Theocaris, P. S.; Kazantzakis, J. G.
    Revue Roumaine des Sciences Techniques, Serie de Mecanique Appliquee, v 26, n 5, Sep-Oct, 1981, p 725-730, Compendex.
  107. A note on quadrature formulae for Cauchy principal value integrals.
    Kumar, S.
    J. Inst. Math. Appl. 26 (1980), no. 4, 447--451, MathSciNet.  
  108. Error estimates for three methods of evaluating Cauchy principal value integrals.
    Noble, B.; Beighton, S.
    J. Inst. Math. Appl. 26 (1980), no. 4, 431--446, MathSciNet.  
  109. Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
    David Elliott; D. F. Paget
    Mathematics of Computation, Vol. 33, No. 145 (Jan., 1979), pp. 301-309, Jstor.  
  110. The Numerical Solution of Singular Integral Equations Over (-1,1)
    M. L. Dow; David Elliott
    SIAM Journal on Numerical Analysis, Vol. 16, No. 1 (Feb., 1979), pp. 115-134, Jstor.  
  111. Convergence of Fejer type quadrature formulas for Cauchy principal value integrals.
    Chawla, M. M.; Kumar, Sheo
    J. Math. Phys. Sci. 12 (1978), no. 1, 49--59, MathSciNet.  
  112. On Quadrature Rules for Ordinary and Cauchy Principal Value Integrals over Contours
    David Elliott; J. D. Donaldson
    SIAM Journal on Numerical Analysis, Vol. 14, No. 6 (Dec., 1977), pp. 1078-1087, Jstor.  
  113. On The Numerical Evaluation Of Cauchy Principal Value Integrals.
    Ioakimidis, N. I.; Theocaris, P. S.
    Revue Roumaine Des Sciences Techniques, Serie De Mecanique Appliquee, V 22, N 6, Nov-Dec, 1977, P 803-818, Compendex.
  114. Automatic Evaluation Of Cauchy Principal Value Integrals.
    Piessens, R.; Van Roy-Branders, M.; Mertens, I.
    Angewandte Informatik/Applied Informatics, V 18, N 1, Jan, 1976, P 31-35, Compendex.
  115. On Finite Hilbert Transforms
    Kevin F. Clancey
    Transactions of the American Mathematical Society, Vol. 212 (Oct., 1975), pp. 347-354, Jstor.  
  116. On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals.
    Elliott, David; Paget, D. F.
    Numer. Math. 23 (1975), 311--319, MathSciNet.   
  117. Quadrature Formulas For Cauchy Principal Value Integrals.
    Chawla, M. M.; Jayarajan, N.
    Computing (Vienna/New York), v 15, n 4, 1975, p 347-355, Compendex.
  118. Calculation Of Cauchy Principal Values In Integral Equations For Boundary Value Problems Of The Plane And Three-Dimensional Theory Of Elasticity.
    Heise, U.
    Journal of Elasticity, v 5, n 2, Jun, 1975, p 99-110, Compendex.
  119. A theorem on preserving the class H(M,alpha,phi) by a singular integral in the sense of Cauchy's principal value.
    Leksinski, Wacaw; .Zakowski, Wojciech
    Collection of articles in memory of Witold Pogorzelski. Demonstratio Math. 5 (1973), 139--145, MathSciNet.   
  120. Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals.
    Hunter, D. B.
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(c) John H. Mathews 2006