Диссертация (Некоторые методы проекционного типа численного решения одного класса слабо сингулярных интегральных уравнений), страница 11
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Vol. 32, pp. 233-246.10419. Chandler G.A. Superconvergence for second kind integral equations, In TheApplication and Numerical Solution of Integral Equations (Anderssen R.S.,de Hoog F.R & Lukas M.A. Eds) pp. 103-107 Alphen aan den Rijn: Sijthoand Nooordho, 1980.20. Graham I.G. The numerical solution of integral equations od second kind.Ph.D. thesis, University of New South Wales, 1980.21.
Chatelin F., Lebbar R. The iterated projection solution for the Fredholmintegral equation of second kind // J. Austral. Math. Soc. Ser. B. 1981. Vol.22 , pp. 439-451.22. Graham I.G. Galerkin method for second kind integral equations with singularities // Math. Comput. 1982. Vol. 39, pp. 519-533.23. Sloan I.H. Superconvergence and the Galerkin method for integral equations ofthe second kind, In: Treatment of Integral Equations by Numerical Methods(T.N.
Christopher, Baker and G.F. Miller Eds.), Academic Press, pp. 197-206,Inc. 198224. Schock E. Galerkin-like Methods for Equations of the Second Kind // J.Integral Equations. 1982. Vol. 4, pp. 361-364.25. Schock E. Numerische Losing Fredholmscher Integralgleichungen. LectureNotes, University of Kaiserslautern, 1982.26. Spence A., Thomas K.S.
On superconvergence properties of Galerkin's methodfor compact operator equations // IMA J. Num. Analysis. 1983. Vol.3, pp.253-271.27. Chatelin F., Lebbar R. Superconvergence results for the iterated projection105method applied to a Fredholm integral equation of the second kind and thecorresponding eigenvalue problem // J. Integral Equations. 1984. Vol.
6, pp.71-91.28. Sloan I.H. Four Variants of the Galerkin Method for Integral Equations of theSecond Kind // IMA Journal of Numerical Analysis. 1984. Vol.4, pp. 9-17.29. Schock E. Arbitrarily Slow Convergence, Uniform Convergence and Superconvergence of Galerkin-like Methods // IMA Journal of Numerical Analysis.1985. Vol.
5, pp. 153-160.30. Graham I., Joe S., Sloan I. Iterated Galerkin versus iterated collocation forintegral equations of the second kind // IMA Journal of Numerical Analysis.1985. Vol. 5, pp. 355-369.31. Joe S. Collocation methods using piecewise polynomials for second kind integral equations // Journal of Computational and Applied Mathematics. 1985.Vol. 12-13, pp. 391-400.32. Sloan I.H. and Thomee V. Superconvergence of the Galerkin iterates for integral equations of the second kind // J. Integral Equations.
1985. Vol. 9, pp.123.33. Kaneko H. , Xu Y. , Superconvergence of the Iterated Galerkin Methods forHammerstein Equations // SIAM J. Numer. Anal. 1996. Vol. 33(3), pp. 10481064.34. Atkinson K.E., Potra F.A. Projection and the iterated projection methodsfor nonlinear integral equations // SIAM J. Numer. Anal.
1987. Vol. 24 , pp.1352-1373.10635. Sloan I.H. Superconvergence. In: Numerical Solution of Integral Equations(edited by Michael. A. Golberg). Plenum Press, New York and London., pp.35 - 70, 1990.36. Thamban Nair M. and Anderssen R.S. Superconvergence of Modied Projection Method for Integral Equations of the Second Kind // J. of IntegralEquations and Applications.
1991. Vol. 3, Number 2, pp. 255-269.37. Lin Q., Zhang S., Yan N. An acceleration Method for Integral Equations byusing Interpolation Post-processing // Adv. Comput. Math. 1998. Vol. 9, pp.117-129.38. Kulkarni R.P. A New Superconvergent Projection Method for ApproximateSolutions of Eigenvalue Problems, Numer.
Funct. Anal. and Optim. 2003. Vol.24, pp. 75-84.39. Kulkarni R.P. A superconvergence result for solutions of compact operatorequations // Bull. Austral. Math. Soc. 2003. Vol. 68, pp. 517-528.40. Krizek M. On superconvergence technique // Acta Applicandae Mathematicae, 1987. Vol. 9, pp. 175 198.41. Chandrasekar S. Radiative Transfer. Oxford Calderon Press. 1950.42. Busbridge I.W.
The Mathematics of radiative transfer. Cambridge UniversityPress, 1960.43. Kourgano V. Basic Methods in Transfer Problems. Dover Publications, Inc.New York, 1963.44. Sobolev V.V. A treatise on radiative transfer. D. Van Nostrand, Pricenton,New Jersey. 1963.10745. Ñîáîëåâ Â.Â. Êóðñ òåîðåòè÷åñêîé àñòðîôèçèêè. -Ì,: Íàóêà, 1985.46. Paletou F., Anterrieu E. A conjugate gradient method for the solution ofthe non-LTE line radiation transfer problem // Astronomy and Astrophysics.2009. Vol.
507. Issue 3, pp. 1815 - 1818.47. Rutily B., Chevallier L. Why is so dicult to solve the radiative transferequation? // EAS Publications Series, 2006. Vol. 18, pp. 1-23.48. Ahues M., Largillier A., Titaud O. The roles of a week singularity and thegrid uniformity in relative error bounds // Numer. Funct. Anal. and Optimiz.2001. Vol. 22, 7-8, pp.
789-814.49. Ahues M., d'Almeida F.D., Largillier A., Titaud O., Vasconcelos P. An L1rened projection approximate solution of the radiation transfer equation instellar atmospheres // Journal of Computational and Applied Mathematics,2002, Vol. 140, 1-2, pp. 13-26.50. Panasenko G., Rutily B.
Titaud O. Asymptotic analysis of integral equationsfor a great interval and its application to stellar radiative transfer // C. R.Acad. Sci. Paris. Ser. Mecanique. 2002, Vol. 330, pp. 735-740.51. Amosov A., Panasenko G., Rutily B. An approximate solution to the integralradiative transfer equation in an optically thick slab // C.
R. Acad. Sci. Paris.Ser. Mecanique. 2003. Vol. 331, pp. 823-828.52. Rutily B. Multiple scattering theory and integral equations // Integral Methods in Science and Engineering (C. Constanda, M. Ahues, and A. Largillier,eds.). Birkhauser, Boston, pp. 211-232, 2004.53. Rutily B., Chevallier L. The nite Laplace transform for solving a weakly108singular integral equation occurring in transfer theory // Journal of IntegralEquations and Applications.
2004, Vol. 16, 4, pp. 389 409.54. Ahues M., Amosov A., Largillier A., Titaud O. Lp error estimates for projection approximations // Applied Mathematics Letters. 2005. Vol. 18, pp.381-386.55. Amosov A., Panasenko G. Asymptotic analysis and asymptotic domain decomposition for an integral equation of the radiative transfer type // J. Math.Pures Appl. 2005. Vol. 84, pp. 1813-1831.56. d'Almeida F., Titaud O., Vasconcelos P. B. A numerical study of iterativerenement schemes for weakly singular integral equations // Applied Mathematics Letters.
2005, Vol. 18, 5, pp. 571 - 576.57. Amosov A. , Panasenko G. An approximate solution to the integral radiativetransfer equation in an optically thick slab // Mathematical Methods in theApplied Sciences. 2007. Vol. 30, pp. 1593-1608.58. Amosov A., Ahues M., Largillier A. Superconvergence of projection methodsfor weakly singular integral operators // Integral Methods in Science andEngineering: Techniques and Applications (Constanda C., Potapenko S.
eds).Birthauser, Boston. 2008, pp. 1 7.59. Amosov A., Ahues M., Largillier A. Supercovergence of some projection approximations for weakly singular integral equations using general grids //Siam Journal on Numerical Analysis, 2009, Vol. 47, Issue 1, pp. 646-674.60. Ahues M., d' Almeida F., Fernandes R. Piecewise constant Galerkin approximations of weakly singular integral equations // Internat.
J. Pure Appl. Math.2009. Vol. 55, 4, pp. 569-580.10961. Nunes A. L., Vasconcelos P.B., Ahues M. Error Bounds for Low-Rank Approximations of the First Exponential Integral Kernel // Numerical FunctionalAnalysis and Optimization. 2013. Vol. 34, 1, pp. 74 93.62. d'Almeida F.D., Ahues M., Fernandes R. Errors and grids for projected weakly singular integral equations // International Journal of Pure and AppliedMathematics. 2013. Vol.
89, 2, pp. 203-213.63. Ñïðàâî÷íèê ïî ñïåöèàëüíûì ôóíêöèÿì ñ ôîðìóëàìè, ãðàôèêàìè èìàòåìàòè÷åñêèìè òàáëèöàìè / Ïîä ðåä. Ì. Àáðàìîâèöà è È. Ñòèãàí. Ì.:Íàóêà. 1979.64. Êàíòîðîâè÷ Ë.Â. Ôóíêöèîíàëüíûé àíàëèç è ïðèêëàäíàÿ ìàòåìàòèêà //ÓÌÍ. 1948. Ò.
3, Âûï. 6 (28), Ñ. 89-185.65. Êàíòîðîâè÷ Ë.Â., Â.È. Êðûëîâ. Ïðèáëèæåííûå ìåòîäû âûñøåãî àíàëèçà.Ôèçìàòëèò. Ì.; 1962.66. Áåðã É., ˼ôñòð¼ì É. Èíòåðïîëÿöèîííûå ïðîñòðàíñòâà. Ââåäåíèå.×Ì.:Ìèð, 1980.67. ÀìîñîâÀ.À.,ÄìèòðèåâÂ.Â.Ïðèìåíåíèåöèðêóëÿíòíîïðåäîáóñëîâëåííîãî ìåòîäà ñîïðÿæåííûõ ãðàäèåíòîâ äëÿ ÷èñëåííîãîðåøåíèÿ èíòåãðàëüíîãî óðàâíåíèÿ ïåðåíîñà èçëó÷åíèÿ // Âåñòíèê ÌÝÈ.2005. 6. Ñ. 5 - 24.68. Àìîñîâ À.À., Þññåô ß.Ý.
×èñëåííàÿ ðåàëèçàöèÿ ìåòîäà Ãàëåðêèíà ñêóñî÷íî-ëèíåéíûìè áàçèñíûìè ôóíêöèÿìè, èñïîëüçóåìîãî äëÿ ðåøåíèÿèíòåãðàëüíîãî óðàâíåíèÿ ïåðåíîñà èçëó÷åíèÿ // Âåñòíèê ÌÝÈ. 2013. 6.Ñ. 110-124.11069. Àìîñîâ À. À., Þññåô ß. Ý. Î íåêîòîðûõ ìåòîäàõ ïðîåêöèîííîãî òèïà÷èñëåííîãî ðåøåíèÿ îäíîãî êëàññà ñëàáî ñèíãóëÿðíûõ èíòåãðàëüíûõóðàâíåíèé// Âåñòíèê ÌÝÈ. 2015.