Abdmouleh, Faiçal; Bahloul, Aymen; Walha, Ines B-essential spectra of operators matrix block \(3\times 3\) applied to a radiative transfer equations in a channel. (English) Zbl 07813040 Bull. Sci. Math. 191, Article ID 103400, 30 p. (2024). MSC: 47A08 47A10 47A53 85A25 PDFBibTeX XMLCite \textit{F. Abdmouleh} et al., Bull. Sci. Math. 191, Article ID 103400, 30 p. (2024; Zbl 07813040) Full Text: DOI
Ren, Kui; Zhao, Hongkai; Zhong, Yimin Separability of the kernel function in an integral formulation for the anisotropic radiative transfer equation. (English) Zbl 1475.45002 SIAM J. Math. Anal. 53, No. 5, 5613-5645 (2021). MSC: 45B05 85A25 33C55 35Q79 65R20 PDFBibTeX XMLCite \textit{K. Ren} et al., SIAM J. Math. Anal. 53, No. 5, 5613--5645 (2021; Zbl 1475.45002) Full Text: DOI arXiv
Belov, A. A.; Kalitkin, N. N. Solution of the Fredholm equation of the first kind by mesh method with Tikhonov regularization. (Russian. English summary) Zbl 1424.45003 Mat. Model. 30, No. 8, 67-88 (2018). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 45B05 45A05 65R30 85A15 PDFBibTeX XMLCite \textit{A. A. Belov} and \textit{N. N. Kalitkin}, Mat. Model. 30, No. 8, 67--88 (2018; Zbl 1424.45003) Full Text: Link
Vasconcelos, Paulo B. Data-sparse approximation on the computation of a weakly singular Fredholm equation: a stellar radiative transfer application. (English) Zbl 1357.65324 Appl. Numer. Math. 114, 55-62 (2017). MSC: 65R20 45B05 45E10 85A25 85A15 PDFBibTeX XMLCite \textit{P. B. Vasconcelos}, Appl. Numer. Math. 114, 55--62 (2017; Zbl 1357.65324) Full Text: DOI
Rogovtsov, N. N. Constructive theory of scalar characteristic equations of the theory of radiation transport. II: Algorithms for finding solutions and their analytic representations. (English. Russian original) Zbl 1381.45008 Differ. Equ. 51, No. 5, 661-673 (2015); translation from Differ. Uravn. 51, No. 5, 650-662 (2015). MSC: 45B05 85A25 65R20 PDFBibTeX XMLCite \textit{N. N. Rogovtsov}, Differ. Equ. 51, No. 5, 661--673 (2015; Zbl 1381.45008); translation from Differ. Uravn. 51, No. 5, 650--662 (2015) Full Text: DOI
Rogovtsov, N. N. Constructive theory of scalar characteristic equations of the theory of radiation transport. I: Basic assertions of the theory and conditions for the applicability of the truncation method. (English. Russian original) Zbl 1322.45001 Differ. Equ. 51, No. 2, 268-281 (2015); translation from Differ. Uravn. 51, No. 2, 263-276 (2015). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 45B05 85A25 PDFBibTeX XMLCite \textit{N. N. Rogovtsov}, Differ. Equ. 51, No. 2, 268--281 (2015; Zbl 1322.45001); translation from Differ. Uravn. 51, No. 2, 263--276 (2015) Full Text: DOI
Vasconcelos, P. B.; D’Almeida, F. D.; Ahues, M. Comparison of two discretizations for spectral computations for integral operators. (English) Zbl 1238.65135 Int. J. Pure Appl. Math. 71, No. 2, 261-270 (2011). MSC: 65R20 45A05 45B05 85A05 85A25 45E10 45C05 45E99 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} et al., Int. J. Pure Appl. Math. 71, No. 2, 261--270 (2011; Zbl 1238.65135) Full Text: Link
Das, Rabindra Nath Solution of Riemann-Hilbert problems for determination of new decoupled expressions of Chandrasekhar’s \(X\)- and \(Y\)-functions for slab geometry in radiative transfer. (English) Zbl 1186.85018 Astrophys. Space Sci. 326, No. 1, 91-103 (2010). MSC: 85A25 45E05 PDFBibTeX XMLCite \textit{R. N. Das}, Astrophys. Space Sci. 326, No. 1, 91--103 (2010; Zbl 1186.85018) Full Text: DOI
Marques, Osni; Vasconcelos, Paulo B. Evaluation of linear solvers for astrophysics transfer problems. (English) Zbl 1177.85003 Daydé, Michel (ed.) et al., High performance computing for computational science – VECPAR 2006. 7th international conference, Rio de Janeiro, Brazil, June 10–13, 2006. Revised selected and invited papers. Berlin: Springer (ISBN 978-3-540-71350-0/pbk). Lecture Notes in Computer Science 4395, 466-475 (2006). MSC: 85-08 45B05 65R20 65Y15 PDFBibTeX XMLCite \textit{O. Marques} and \textit{P. B. Vasconcelos}, Lect. Notes Comput. Sci. 4395, 466--475 (2006; Zbl 1177.85003) Full Text: DOI Link
Amosov, Andrey; Panasenko, Grigory Asymptotic analysis and asymptotic domain decomposition for an integral equation of the radiative transfer type. (English) Zbl 1089.45004 J. Math. Pures Appl., IX. Sér. 84, No. 12, 1813-1831 (2005). Reviewer: Neville Ford (Chester) MSC: 45M05 45B05 85A25 PDFBibTeX XMLCite \textit{A. Amosov} and \textit{G. Panasenko}, J. Math. Pures Appl. (9) 84, No. 12, 1813--1831 (2005; Zbl 1089.45004) Full Text: DOI
Rutily, B.; Chevallier, L. The finite Laplace transform for solving a weakly singular integral equation occurring in transfer theory. (English) Zbl 1087.45001 J. Integral Equations Appl. 16, No. 4, 389-409 (2004). Reviewer: Zbigniew Binderman (Warszawa) MSC: 45E10 85A25 45B05 45E05 PDFBibTeX XMLCite \textit{B. Rutily} and \textit{L. Chevallier}, J. Integral Equations Appl. 16, No. 4, 389--409 (2004; Zbl 1087.45001) Full Text: DOI arXiv
Vasconcelos, Paulo B.; d’Almeida, Filomena D. A parallel code for integral equations on a cluster of computers. (English) Zbl 1060.65694 Constanda, C. (ed.) et al., Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7–10, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3228-X/hbk). 261-266 (2004). MSC: 65R20 45E10 65Y05 85A20 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} and \textit{F. D. d'Almeida}, in: Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7--10, 2002. Boston, MA: Birkhäuser. 261--266 (2004; Zbl 1060.65694)
Rutily, Bernard Multiple scattering theory and integral equations. (English) Zbl 1113.82312 Constanda, C. (ed.) et al., Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7–10, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3228-X/hbk). 211-232 (2004). MSC: 82C70 45B05 65R20 85A25 PDFBibTeX XMLCite \textit{B. Rutily}, in: Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7--10, 2002. Boston, MA: Birkhäuser. 211--232 (2004; Zbl 1113.82312)
Largillier, Alain; Titaud, Olivier Product integration quadratures for the radiative transfer problem with Hopf’s kernel. (English) Zbl 1026.65524 Schiavone, P. (ed.) et al., Integral methods in science and engineering. Proceedings of the 6th international conference, IMSE 2000, Banff, Canada, June 12-15, 2000. Boston, MA: Birkhäuser. 143-148 (2002). MSC: 65R20 65D30 45B05 85A25 PDFBibTeX XMLCite \textit{A. Largillier} and \textit{O. Titaud}, in: Integral methods in science and engineering. Proceedings of the 6th international conference, IMSE 2000, Banff, Canada, June 12-15, 2000. Boston, MA: Birkhäuser. 143--148 (2002; Zbl 1026.65524)
Ahues, M.; D’Almeida, F.; Largillier, A.; Titaud, O.; Vasconcelos, P. An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres. (English) Zbl 1005.65144 J. Comput. Appl. Math. 140, No. 1-2, 13-26 (2002). Reviewer: Gunther Schmidt (Berlin) MSC: 65R20 45E10 85A25 PDFBibTeX XMLCite \textit{M. Ahues} et al., J. Comput. Appl. Math. 140, No. 1--2, 13--26 (2002; Zbl 1005.65144) Full Text: DOI
Kalaba, Robert E.; Natsuyama, Harriet H.; Ueno, Sueo Photon diffusion and invariant imbedding. (English) Zbl 1017.85002 Appl. Math. Comput. 116, No. 1-2, 49-59 (2000). MSC: 85A25 45B05 65R20 PDFBibTeX XMLCite \textit{R. E. Kalaba} et al., Appl. Math. Comput. 116, No. 1--2, 49--59 (2000; Zbl 1017.85002) Full Text: DOI
Mikhajlov, G. A. A new approach to construction and substantiation of free path estimates in the Monte Carlo method. (English. Russian original) Zbl 0959.65013 Dokl. Math. 57, No. 1, 16-19 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 1, 22-25 (1998). MSC: 65C40 45B05 85A25 60J22 65R20 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhajlov}, Dokl. Math. 57, No. 1, 22--25 (1998; Zbl 0959.65013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 1, 22--25 (1998)
Vojtishek, A. V.; Skarupa, E. V. Discrete-stochastic procedures of global estimation of a solution to an integral equation of the second kind. Optimization. (Russian. English summary) Zbl 0917.65111 Prepr., Vychisl. Tsentr Ross. Akad. Nauk Sib. Otd. 1997, No. 1091, 1-96 (1997). MSC: 65R20 65D32 45B05 65C05 85A25 PDFBibTeX XMLCite \textit{A. V. Vojtishek} and \textit{E. V. Skarupa}, Prepr., Vychisl. Tsentr Ross. Akad. Nauk Sib. Otd. 1997, No. 1091, 1--96 (1997; Zbl 0917.65111)
De Mol, C. How to beat the Rayleigh limit? (English) Zbl 0886.65140 Z. Angew. Math. Mech. 76, Suppl. 2, 185-188 (1996). MSC: 65R20 85A05 65R30 45E10 PDFBibTeX XMLCite \textit{C. De Mol}, Z. Angew. Math. Mech. 76, 185--188 (1996; Zbl 0886.65140) Full Text: DOI
Stepanov, A. A. On a numerical method for inversion of geophysic and helioseismic data. (Russian. English summary) Zbl 0852.65126 Klokovs, J. (ed.), Mathematics. Differential equations. Rīga: Latvijas Universitāte, Latv. Univ. Zināt. Raksti. 599, 81-89 (1995). MSC: 65R20 65R30 85A05 45B05 65F20 86A22 PDFBibTeX XMLCite \textit{A. A. Stepanov}, in: Matemātika. Diferencialālvienādojumi. Rīga: Lat\-vi\-jas Uni\-ver\-si\-tā\-te. 81--89 (1995; Zbl 0852.65126)
Balázs, L. G. Solution of the basic equation of stellar statistics. (English) Zbl 0827.60103 Inverse Probl. 11, No. 4, 731-741 (1995). MSC: 60K40 85A20 PDFBibTeX XMLCite \textit{L. G. Balázs}, Inverse Probl. 11, No. 4, 731--741 (1995; Zbl 0827.60103) Full Text: DOI
Nagirner, D. I. The method of Albedo shifting for equations of radiative transfer in astrophysics. (English. Russian original) Zbl 0875.65114 Phys.-Dokl. 40, No. 7, 370-373 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 2, 191-194 (1995). MSC: 65R20 85A25 45B05 PDFBibTeX XMLCite \textit{D. I. Nagirner}, Phys.-Dokl. 40, No. 7, 370--373 (1995; Zbl 0875.65114); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 2, 191--194 (1995)
Potapov, V. S. Method of solution of the radiation transfer equation for an optically thick layer with reflecting boundaries. (English. Russian original) Zbl 0853.45016 Theor. Math. Phys. 100, No. 2, 1012-1022 (1994); translation from Teor. Mat. Fiz. 100, No. 4, 287-302 (1994). MSC: 45K05 85A25 PDFBibTeX XMLCite \textit{V. S. Potapov}, Theor. Math. Phys. 100, No. 2, 1012--1022 (1994; Zbl 0853.45016); translation from Teor. Mat. Fiz. 100, No. 4, 287--302 (1994) Full Text: DOI
Cerf, Nicolas; Boffin, Henri M. J. Mass distribution of binary stars using an iterative inversion technique. (English) Zbl 0802.65132 Inverse Probl. 10, No. 3, 533-546 (1994). MSC: 65R20 65R30 45B05 85-08 85A05 PDFBibTeX XMLCite \textit{N. Cerf} and \textit{H. M. J. Boffin}, Inverse Probl. 10, No. 3, 533--546 (1994; Zbl 0802.65132) Full Text: DOI
Madkour, M. A.; Digheidy, A. R. Maximum-entropy for Chandrasekhar’s \(X\)- and \(Y\)-functions. (English) Zbl 0805.65141 Astrophys. Space Sci. 208, No. 2, 291-300 (1993). Reviewer: P.Achuthan (Madras) MSC: 65R20 85A25 45B05 PDFBibTeX XMLCite \textit{M. A. Madkour} and \textit{A. R. Digheidy}, Astrophys. Space Sci. 208, No. 2, 291--300 (1993; Zbl 0805.65141) Full Text: DOI
Karanja, S.; Deb, T. K. The time-dependent \(X\)- and \(Y\)-functions. (English) Zbl 0761.45008 Astrophys. Space Sci. 196, No. 2, 223-229 (1992). Reviewer: S.V.Rogozin (Minsk) MSC: 45G15 85A25 45E10 45B05 PDFBibTeX XMLCite \textit{S. Karanja} and \textit{T. K. Deb}, Astrophys. Space Sci. 196, No. 2, 223--229 (1992; Zbl 0761.45008) Full Text: DOI
Reiter, Johann An algorithm for deconvolution by the maximum entropy method with astronomical applications. (English) Zbl 0760.65129 J. Comput. Phys. 103, No. 1, 169-183 (1992). Reviewer: S.K.Rangarajan (Bangalore) MSC: 65R20 65R30 85-08 45E10 45B05 85A99 PDFBibTeX XMLCite \textit{J. Reiter}, J. Comput. Phys. 103, No. 1, 169--183 (1992; Zbl 0760.65129) Full Text: DOI
Hansen, Per Christian; Sekii, Takashi; Shibahashi, Hiromoto The modified truncated SVD method for regularization in general form. (English) Zbl 0760.65044 SIAM J. Sci. Stat. Comput. 13, No. 5, 1142-1150 (1992). Reviewer: P.K.Mahanti (Ranchi) MSC: 65F20 65R20 65F15 65R30 45B05 85A05 PDFBibTeX XMLCite \textit{P. C. Hansen} et al., SIAM J. Sci. Stat. Comput. 13, No. 5, 1142--1150 (1992; Zbl 0760.65044) Full Text: DOI
Yagola, A. G. Regularization algorithms: Applications. (English) Zbl 0784.65104 Pani, Amiya K. (ed.) et al., Mini-conference on inverse problems in partial differential equations, Canberra, A.C.T., Australia, August 23-25, 1990. Canberra: Centre for Mathematics and its Applications, Australian National University. Proc. Cent. Math. Appl. Aust. Natl. Univ. 31, 41-58 (1992). MSC: 65R20 65R30 45B05 85A15 81V80 PDFBibTeX XMLCite \textit{A. G. Yagola}, Proc. Cent. Math. Appl. Aust. Natl. Univ. 31, 41--58 (1992; Zbl 0784.65104)
Starkov, A. V. On majorant optimization of weighted algorithms in the Monte Carlo method. (English. Russian original) Zbl 0752.65093 Sov. Math., Dokl. 43, No. 1, 92-96 (1991); translation from Dokl. Akad. Nauk SSSR 316, No. 2, 305-309 (1991). Reviewer: I.Dimov (Sofia) MSC: 65R20 65C05 45K05 85A25 45B05 PDFBibTeX XMLCite \textit{A. V. Starkov}, Sov. Math., Dokl. 43, No. 1, 92--96 (1991; Zbl 0752.65093); translation from Dokl. Akad. Nauk SSSR 316, No. 2, 305--309 (1991)
Antyufeev, V. S. The boundary value problem of transfer of radiation through a planar layer. (Russian) Zbl 0788.65131 Mikhajlov, G. A. (ed.), Theory and applications of statistical modeling. Collection of scientific articles. Novosibirsk: Vychislitel’nyj Tsentr SO AN SSSR, 157-169 (1989). MSC: 65R20 85A25 45B05 PDFBibTeX XMLCite \textit{V. S. Antyufeev}, in: Теория и приложения статистического моделирования. Сборник научных статей. Novosibirsk: Vychislitel'nyj Tsentr SO AN SSSR. 157--169 (1989; Zbl 0788.65131)
Kargin, B. A.; Starkov, A. V. Asymptotic optimization of stochastic simulation in problems of atmospheric optics. (English) Zbl 0825.65109 Sov. J. Numer. Anal. Math. Model. 2, No. 1, 1-14 (1987). MSC: 65R20 65C05 45B05 85A25 86A10 78A10 PDFBibTeX XMLCite \textit{B. A. Kargin} and \textit{A. V. Starkov}, Sov. J. Numer. Anal. Math. Model. 2, No. 1, 1--14 (1987; Zbl 0825.65109)
Karyukin, V. V. Linear equations, related with an optimization of the Monte Carlo method in radiation transport calculations. (English) Zbl 0635.65137 Vestn. Leningr. Univ., Math. No. 2, 20, 18-27 (1987). MSC: 65R20 65C05 45B05 82C70 85A25 PDFBibTeX XML
Kagiwada, Harriet H.; Kalaba, Robert E.; Scott, Melvin R. The b and h functions for integral equations with displacement kernels: a computational method and an application to radiative transfer. (English) Zbl 0626.65140 Appl. Math. Comput. 23, 93-101 (1987). Reviewer: S.C.Rajvanshi MSC: 65R20 45B05 85A25 PDFBibTeX XMLCite \textit{H. H. Kagiwada} et al., Appl. Math. Comput. 23, 93--101 (1987; Zbl 0626.65140) Full Text: DOI
Karyukin, V. V. Linear equations connected with optimization of the Monte Carlo method in calculations of radiation transport. (Russian. English summary) Zbl 0622.65136 Vestn. Leningr. Univ., Ser. I 1987, No. 2, 14-22 (1987). MSC: 65R20 65C05 45B05 82C70 85A25 PDFBibTeX XMLCite \textit{V. V. Karyukin}, Vestn. Leningr. Univ., Ser. I 1987, No. 2, 14--22 (1987; Zbl 0622.65136)
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P. Conjugate equations and algorithms of perturbations in applied problems. (Russian) Zbl 0669.65044 Vychisl. Protsessy Sist. 4, 5-62 (1986). Reviewer: V.Suchánková-Marsiková MSC: 65J10 47A55 65R20 85A25 86A10 86A05 92D40 45B05 PDFBibTeX XMLCite \textit{G. I. Marchuk} et al., Vychisl. Prots. Sist. 4, 5--62 (1986; Zbl 0669.65044)
Pavel’ev, A. G. Analytic and numerical solution of a Fredholm equation of the first kind arising in an inverse refraction problem. (English) Zbl 0595.45001 U.S.S.R. Comput. Math. Math. Phys. 25, No. 2, 45-51 (1985). MSC: 45B05 65R20 78A45 85A20 PDFBibTeX XMLCite \textit{A. G. Pavel'ev}, U.S.S.R. Comput. Math. Math. Phys. 25, No. 2, 45--51 (1985; Zbl 0595.45001) Full Text: DOI
Pavel’ev, A. G. Analytical and numerical solution of a Fredholm equation of the first kind arising from an inverse refraction problem. (Russian) Zbl 0575.45003 Zh. Vychisl. Mat. Mat. Fiz. 25, No. 3, 392-402 (1985). Reviewer: Ll.G.Chambers MSC: 45B05 65R20 78A45 85A20 PDFBibTeX XMLCite \textit{A. G. Pavel'ev}, Zh. Vychisl. Mat. Mat. Fiz. 25, No. 3, 392--402 (1985; Zbl 0575.45003)
Karyukin, V. V. Structure of optimal distribution density with respect to path length in Monte Carlo solution of radiative transport problems. (English) Zbl 0599.65088 Leningr. Univ. Mech. Bull. 1984, No. 2, 33-38 (1984). MSC: 65R20 65C05 45B05 85A25 PDFBibTeX XMLCite \textit{V. V. Karyukin}, Leningr. Univ. Mech. Bull. 1984, No. 2, 33--38 (1984; Zbl 0599.65088)
Islam, Z.; Das Gupta, S. R. On numerical evaluation of the H-functions of transport problems by kernel approximation for the albedo \(0<\omega \leq 1\). (English) Zbl 0565.65084 Astrophys. Space Sci. 106, 355-369 (1984). MSC: 65R20 65D20 85A25 33C60 45B05 45C05 PDFBibTeX XMLCite \textit{Z. Islam} and \textit{S. R. Das Gupta}, Astrophys. Space Sci. 106, 355--369 (1984; Zbl 0565.65084) Full Text: DOI
Karyukin, V. V. On the structure of optimal density of distribution according to the path in the solution of radiation transfer problems by the Monte-Carlo method. (Russian. English summary) Zbl 0549.65096 Vestn. Leningr. Univ. 1984, No. 7, Mat. Mekh. Astron. 1984, No. 2, 93-96 (1984). MSC: 65R20 65C05 45B05 85A25 PDFBibTeX XMLCite \textit{V. V. Karyukin}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1984, No. 2, 93--96 (1984; Zbl 0549.65096)
Il’inskij, A. S.; Mutallimov, M. M. An investigation of the dispersion equations in the spectral method. (English. Russian original) Zbl 0541.47014 Sov. Math., Dokl. 28, 153-155 (1983); translation from Dokl. Akad. Nauk SSSR 271, 793-795 (1983). Reviewer: Y.Kato MSC: 47A62 47A53 47B37 85A30 76B15 PDFBibTeX XMLCite \textit{A. S. Il'inskij} and \textit{M. M. Mutallimov}, Sov. Math., Dokl. 28, 153--155 (1983; Zbl 0541.47014); translation from Dokl. Akad. Nauk SSSR 271, 793--795 (1983)
Hovenier, J. W.; van der Mee, Cornelis V. M. Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere. (English) Zbl 0538.35073 Astron. Astrophys. 128, 1-16 (1983). MSC: 35Q99 35P25 85A25 85A20 82C70 45B05 PDFBibTeX XMLCite \textit{J. W. Hovenier} and \textit{C. V. M. van der Mee}, Astron. Astrophys. 128, 1--16 (1983; Zbl 0538.35073)
Allen, R. C. jun.; Boicourt, G. P. An algorithm for solving Fredholm integral equations with displacement kernels. (English) Zbl 0471.65086 J. Math. Anal. Appl. 80, 245-260 (1981). MSC: 65R20 45B05 85A25 PDFBibTeX XMLCite \textit{R. C. Allen jun.} and \textit{G. P. Boicourt}, J. Math. Anal. Appl. 80, 245--260 (1981; Zbl 0471.65086) Full Text: DOI
Dunn, William L. Inverse Monte Carlo analysis. (English) Zbl 0454.65088 J. Comput. Phys. 41, 154-166 (1981). MSC: 65R20 85A25 65C20 65C05 45B05 PDFBibTeX XMLCite \textit{W. L. Dunn}, J. Comput. Phys. 41, 154--166 (1981; Zbl 0454.65088) Full Text: DOI
Gorelov, V. P.; Il’in, V. I. On the solution of the integral equations of radiative transport. (English) Zbl 0439.45021 U.S.S.R. Comput. Math. Math. Phys. 19, No. 4, 201-210 (1980). MSC: 45L05 45B05 65R20 85A25 PDFBibTeX XMLCite \textit{V. P. Gorelov} and \textit{V. I. Il'in}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 4, 201--210 (1980; Zbl 0439.45021) Full Text: DOI
Sengupta, A.; Ganguly, K. Inverse eigenvalue problem for a finite multiplying slab. (English) Zbl 0428.65069 J. Phys. A 13, 2341-2352 (1980). MSC: 65R20 85A25 45B05 45C05 45K05 PDFBibTeX XMLCite \textit{A. Sengupta} and \textit{K. Ganguly}, J. Phys. A, Math. Gen. 13, 2341--2352 (1980; Zbl 0428.65069) Full Text: DOI
Starikov, V. N. On an algorithm for the correlated simulation of trajectories of neutrons. (Russian) Zbl 0474.65093 Monte Carlo methods in numerical mathematics and mathematical physics, Pap. VI. All-Union Conf., April 1979, Part 2, Novosibirsk 1979, 60-67 (1979). MSC: 65R20 65C05 45B05 85A25 PDFBibTeX XML
Gorelov, V. P.; Il’in, V. I. Zur Lösung von Integralgleichungen des Strahlungstransports. (Russian) Zbl 0424.45015 Zh. Vychisl. Mat. Mat. Fiz. 19, 989-997 (1979). MSC: 65R20 45B05 85A25 PDFBibTeX XMLCite \textit{V. P. Gorelov} and \textit{V. I. Il'in}, Zh. Vychisl. Mat. Mat. Fiz. 19, 989--997 (1979; Zbl 0424.45015)
Das Gupta, S. R. A new technique for exact and unique solution of transfer equations in finite media. (English) Zbl 0406.45013 Astrophys. Space Sci. 56, 21-49 (1978). MSC: 45J05 85A25 45E10 PDFBibTeX XMLCite \textit{S. R. Das Gupta}, Astrophys. Space Sci. 56, 21--49 (1978; Zbl 0406.45013) Full Text: DOI
Holt, J. N.; Jupp, D. L. B. Free-knot spline inversion of a Fredholm integral equation from astrophysics. (English) Zbl 0398.65073 J. Inst. Math. Appl. 21, 429-443 (1978). MSC: 65R20 45B05 85A20 PDFBibTeX XMLCite \textit{J. N. Holt} and \textit{D. L. B. Jupp}, J. Inst. Math. Appl. 21, 429--443 (1978; Zbl 0398.65073) Full Text: DOI
Domke, H. Linear Fredholm integral equations for radiative transfer problems in finite plane parallel media. II. Imbedding in a semi-infinite medium. (English) Zbl 0389.45003 Astron. Nachr. 299, 95-98 (1978). MSC: 45B05 85A25 PDFBibTeX XMLCite \textit{H. Domke}, Astron. Nachr. 299, 95--98 (1978; Zbl 0389.45003) Full Text: DOI
Domke, H. Linear Fredholm integral equations for radiative transfer problems in finite plane parallel media. I. Imbedding in an infinite medium. (English) Zbl 0389.45002 Astron. Nachr. 299, 87-93 (1978). MSC: 45B05 85A25 PDFBibTeX XMLCite \textit{H. Domke}, Astron. Nachr. 299, 87--93 (1978; Zbl 0389.45002) Full Text: DOI
Shultis, J. K. A new computational method for the X and Y functions of radiative transfer. (English) Zbl 0222.45017 Astronomy Astrophys. 14, 463-467 (1971). MSC: 65R20 45B05 85A25 PDFBibTeX XMLCite \textit{J. K. Shultis}, Astron. Astrophys. 14, 463--467 (1971; Zbl 0222.45017)