Heningburg, Vincent; Hauck, Cory D. A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. (English) Zbl 1453.82099 Multiscale Model. Simul. 19, No. 1, 1-24 (2021). MSC: 82D75 65L60 65M08 35B40 76R50 PDF BibTeX XML Cite \textit{V. Heningburg} and \textit{C. D. Hauck}, Multiscale Model. Simul. 19, No. 1, 1--24 (2021; Zbl 1453.82099) Full Text: DOI
Gabbasov, N. S. On numerical solution of one class of integro-differential equations in a special case. (English. Russian original) Zbl 1455.65233 Comput. Math. Math. Phys. 60, No. 10, 1666-1678 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 10, 1721-1733 (2020). MSC: 65R20 47G20 45J05 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Comput. Math. Math. Phys. 60, No. 10, 1666--1678 (2020; Zbl 1455.65233); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 10, 1721--1733 (2020) Full Text: DOI
Shao, Wenting; Sheng, Qiwei; Wang, Cheng A cascadic multigrid asymptotic-preserving discrete ordinate discontinuous streamline diffusion method for radiative transfer equations with diffusive scalings. (English) Zbl 1451.65224 Comput. Math. Appl. 80, No. 6, 1650-1667 (2020). MSC: 65N55 65N30 80A21 85A25 PDF BibTeX XML Cite \textit{W. Shao} et al., Comput. Math. Appl. 80, No. 6, 1650--1667 (2020; Zbl 1451.65224) Full Text: DOI
Gabbasov, N. S. On the approximate solution of integro-differential equations with a degenerate coefficient. (English. Russian original) Zbl 07260758 Differ. Equ. 56, No. 9, 1230-1236 (2020); translation from Differ. Uravn. 56, No. 9, 1263-1269 (2020). MSC: 45J05 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Differ. Equ. 56, No. 9, 1230--1236 (2020; Zbl 07260758); translation from Differ. Uravn. 56, No. 9, 1263--1269 (2020) Full Text: DOI
Palii, Olena; Schlottbom, Matthias On a convergent DSA preconditioned source iteration for a DGFEM method for radiative transfer. (English) Zbl 1446.65177 Comput. Math. Appl. 79, No. 12, 3366-3377 (2020). MSC: 65N30 65N12 65N15 65F10 65F08 78A40 78A45 78M10 82D75 PDF BibTeX XML Cite \textit{O. Palii} and \textit{M. Schlottbom}, Comput. Math. Appl. 79, No. 12, 3366--3377 (2020; Zbl 1446.65177) Full Text: DOI
Li, Li; Chen, Chen; Bi, Bo A new total variational regularization method for nonlinear inverse problems in fluorescence molecular tomography. (English) Zbl 1426.92038 J. Comput. Appl. Math. 365, Article ID 112408, 14 p. (2020). MSC: 92C55 PDF BibTeX XML Cite \textit{L. Li} et al., J. Comput. Appl. Math. 365, Article ID 112408, 14 p. (2020; Zbl 1426.92038) Full Text: DOI
Crestetto, Anaïs; Crouseilles, Nicolas; Dimarco, Giacomo; Lemou, Mohammed Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling. (English) Zbl 1452.65004 J. Comput. Phys. 394, 243-262 (2019). MSC: 65C05 65M08 35Q82 PDF BibTeX XML Cite \textit{A. Crestetto} et al., J. Comput. Phys. 394, 243--262 (2019; Zbl 1452.65004) Full Text: DOI
Powell, Samuel; Cox, Ben T.; Arridge, Simon R. A pseudospectral method for solution of the radiative transport equation. (English) Zbl 1451.65158 J. Comput. Phys. 384, 376-382 (2019). MSC: 65M70 78M22 78A40 35R09 PDF BibTeX XML Cite \textit{S. Powell} et al., J. Comput. Phys. 384, 376--382 (2019; Zbl 1451.65158) Full Text: DOI
Camminady, Thomas; Frank, Martin; Küpper, Kerstin; Kusch, Jonas Ray effect mitigation for the discrete ordinates method through quadrature rotation. (English) Zbl 1451.65116 J. Comput. Phys. 382, 105-123 (2019). MSC: 65M08 35R09 45K05 65R20 65D05 PDF BibTeX XML Cite \textit{T. Camminady} et al., J. Comput. Phys. 382, 105--123 (2019; Zbl 1451.65116) Full Text: DOI
Gabbasov, N. S. Special version of the spline method for integral equations of the third kind. (English. Russian original) Zbl 1432.65195 Differ. Equ. 55, No. 9, 1218-1225 (2019); translation from Differ. Uravn. 55, No. 9, 1261-1268 (2019). MSC: 65R20 45A05 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Differ. Equ. 55, No. 9, 1218--1225 (2019; Zbl 1432.65195); translation from Differ. Uravn. 55, No. 9, 1261--1268 (2019) Full Text: DOI
Bellassoued, Mourad; Boughanja, Yosra Recovery of coefficients in the linear Boltzmann equation. (English) Zbl 1431.35096 J. Math. Phys. 60, No. 11, 111506, 22 p. (2019). MSC: 35Q20 82C70 70S15 35R30 45K05 35R09 PDF BibTeX XML Cite \textit{M. Bellassoued} and \textit{Y. Boughanja}, J. Math. Phys. 60, No. 11, 111506, 22 p. (2019; Zbl 1431.35096) Full Text: DOI
Sen, Mausumi; Saha, Dipankar; Agarwal, R. P. A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra. (English) Zbl 1428.45006 Appl. Math. Comput. 358, 111-118 (2019). MSC: 45G10 47H09 PDF BibTeX XML Cite \textit{M. Sen} et al., Appl. Math. Comput. 358, 111--118 (2019; Zbl 1428.45006) Full Text: DOI
Kim, Anton; Prokhorov, Igor’ Vasil’evich Initial-boundary value problem for a radiative transfer equation with generalized matching conditions. (English) Zbl 1430.35223 Sib. Èlektron. Mat. Izv. 16, 1036-1056 (2019). MSC: 35Q60 35R09 65C05 80A19 80M31 78A40 35A01 35A02 35Q79 PDF BibTeX XML Cite \textit{A. Kim} and \textit{I. V. Prokhorov}, Sib. Èlektron. Mat. Izv. 16, 1036--1056 (2019; Zbl 1430.35223) Full Text: DOI
Kusch, Jonas; Alldredge, Graham W.; Frank, Martin Maximum-principle-satisfying second-order intrusive polynomial moment scheme. (English) Zbl 1447.35082 SMAI J. Comput. Math. 5, 23-51 (2019). MSC: 35B50 35L65 65M08 65M15 PDF BibTeX XML Cite \textit{J. Kusch} et al., SMAI J. Comput. Math. 5, 23--51 (2019; Zbl 1447.35082) Full Text: DOI arXiv
Hauck, Cory; Heningburg, Vincent Filtered discrete ordinates equations for radiative transport. (English) Zbl 1418.65129 J. Sci. Comput. 80, No. 1, 614-648 (2019). MSC: 65M60 45K05 65R20 82C70 PDF BibTeX XML Cite \textit{C. Hauck} and \textit{V. Heningburg}, J. Sci. Comput. 80, No. 1, 614--648 (2019; Zbl 1418.65129) Full Text: DOI
Woods, M.; Sailor, W.; Holmes, M. Numerical solution of the electron transport equation in the upper atmosphere. (English) Zbl 1416.86001 J. Comput. Phys. 376, 129-144 (2019). MSC: 86-08 65R20 86A10 PDF BibTeX XML Cite \textit{M. Woods} et al., J. Comput. Phys. 376, 129--144 (2019; Zbl 1416.86001) Full Text: DOI
Chen, Zheng; Hauck, Cory D. Multiscale convergence properties for spectral approximations of a model kinetic equation. (English) Zbl 07066480 Math. Comput. 88, No. 319, 2257-2293 (2019). MSC: 65B10 65G99 65M15 65M22 65M70 65Z05 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{C. D. Hauck}, Math. Comput. 88, No. 319, 2257--2293 (2019; Zbl 07066480) Full Text: DOI arXiv
Laiu, M. Paul; Hauck, Cory D. Positivity limiters for filtered spectral approximations of linear kinetic transport equations. (English) Zbl 07063595 J. Sci. Comput. 78, No. 2, 918-950 (2019). MSC: 35L02 41A10 41A25 41A36 42B37 65M70 82C70 82D75 PDF BibTeX XML Cite \textit{M. P. Laiu} and \textit{C. D. Hauck}, J. Sci. Comput. 78, No. 2, 918--950 (2019; Zbl 07063595) Full Text: DOI
Fujii, Hiroyuki; Yamada, Yukio; Chiba, Go; Hoshi, Yoko; Kobayashi, Kazumichi; Watanabe, Masao Accurate and efficient computation of the 3D radiative transfer equation in highly forward-peaked scattering media using a renormalization approach. (English) Zbl 1416.65261 J. Comput. Phys. 374, 591-604 (2018). MSC: 65M06 82C70 65R20 45K05 65D30 PDF BibTeX XML Cite \textit{H. Fujii} et al., J. Comput. Phys. 374, 591--604 (2018; Zbl 1416.65261) Full Text: DOI
Sun, Jie; Eichholz, Joseph A. Splitting methods for differential approximations of the radiative transfer equation. (English) Zbl 1426.82059 Appl. Math. Comput. 322, 140-150 (2018). MSC: 82C70 45K05 65R20 PDF BibTeX XML Cite \textit{J. Sun} and \textit{J. A. Eichholz}, Appl. Math. Comput. 322, 140--150 (2018; Zbl 1426.82059) Full Text: DOI
Gabbasov, N. S. Generalized collocation method for integro-differential equations in an exceptional case. (English. Russian original) Zbl 1402.65123 Differ. Equ. 54, No. 7, 881-888 (2018); translation from Differ. Uravn. 54, No. 7, 902-908 (2018). MSC: 65M70 35R09 41A05 45K05 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Differ. Equ. 54, No. 7, 881--888 (2018; Zbl 1402.65123); translation from Differ. Uravn. 54, No. 7, 902--908 (2018) Full Text: DOI
Gabbasov, N. S.; Galimova, Z. Kh. Special version of collocation method for integral equations of the third kind with fixed singularities in a kernel. (English. Russian original) Zbl 1398.65351 Russ. Math. 62, No. 5, 16-22 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 5, 20-27 (2018). MSC: 65R20 65L60 45A05 PDF BibTeX XML Cite \textit{N. S. Gabbasov} and \textit{Z. Kh. Galimova}, Russ. Math. 62, No. 5, 16--22 (2018; Zbl 1398.65351); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 5, 20--27 (2018) Full Text: DOI
Chen, Ke; Li, Qin; Wang, Li Stability of inverse transport equation in diffusion scaling and Fokker-Planck limit. (English) Zbl 1412.82019 SIAM J. Appl. Math. 78, No. 5, 2626-2647 (2018). Reviewer: Giovanni Mascali (Arcavacata di Rende) MSC: 82B40 65N21 35L99 35K99 82C70 35Q20 PDF BibTeX XML Cite \textit{K. Chen} et al., SIAM J. Appl. Math. 78, No. 5, 2626--2647 (2018; Zbl 1412.82019) Full Text: DOI
Kusch, Jonas; Frank, Martin Intrusive methods in uncertainty quantification and their connection to kinetic theory. (English) Zbl 1397.65020 Int. J. Adv. Eng. Sci. Appl. Math. 10, No. 1, 54-69 (2018). MSC: 65C50 60H35 65M60 35Q53 35L65 82C80 82C40 PDF BibTeX XML Cite \textit{J. Kusch} and \textit{M. Frank}, Int. J. Adv. Eng. Sci. Appl. Math. 10, No. 1, 54--69 (2018; Zbl 1397.65020) Full Text: DOI
Zhong, Xinghui; Li, Qin Galerkin methods for stationary radiative transfer equations with uncertain coefficients. (English) Zbl 1397.65301 J. Sci. Comput. 76, No. 2, 1105-1126 (2018). MSC: 65N30 35Q82 35R60 65N12 65N15 82C70 65P20 PDF BibTeX XML Cite \textit{X. Zhong} and \textit{Q. Li}, J. Sci. Comput. 76, No. 2, 1105--1126 (2018; Zbl 1397.65301) Full Text: DOI
Khisamutdinov, Alfred I. The approach of ‘successive approximations over characteristic interactions’ for inverse problems of nuclear-geophysical technologies. (English) Zbl 1398.82040 Russ. J. Numer. Anal. Math. Model. 33, No. 4, 211-223 (2018). MSC: 82C70 86A22 60J22 PDF BibTeX XML Cite \textit{A. I. Khisamutdinov}, Russ. J. Numer. Anal. Math. Model. 33, No. 4, 211--223 (2018; Zbl 1398.82040) Full Text: DOI
Blanc, X.; Bordin, C.; Kluth, G.; Samba, G. Variance reduction method for particle transport equation in spherical geometry. (English) Zbl 1392.65009 J. Comput. Phys. 364, 274-297 (2018). MSC: 65C05 65R20 65Z05 PDF BibTeX XML Cite \textit{X. Blanc} et al., J. Comput. Phys. 364, 274--297 (2018; Zbl 1392.65009) Full Text: DOI
Darwish, Mohamed Abdalla; Samet, Bessem On Erdélyi-Kober quadratic functional-integral equation in Banach algebra. (English) Zbl 1390.45010 Numer. Funct. Anal. Optim. 39, No. 3, 276-294 (2018). MSC: 45G05 47H08 PDF BibTeX XML Cite \textit{M. A. Darwish} and \textit{B. Samet}, Numer. Funct. Anal. Optim. 39, No. 3, 276--294 (2018; Zbl 1390.45010) Full Text: DOI
Cleveland, M. A.; Wollaber, A. B. Corrected implicit Monte Carlo. (English) Zbl 1386.65016 J. Comput. Phys. 359, 20-44 (2018). MSC: 65C05 35Q79 PDF BibTeX XML Cite \textit{M. A. Cleveland} and \textit{A. B. Wollaber}, J. Comput. Phys. 359, 20--44 (2018; Zbl 1386.65016) Full Text: DOI
Kawagoe, Daisuke; Chen, I.-Kun Propagation of boundary-induced discontinuity in stationary radiative transfer. (English) Zbl 1431.82026 J. Stat. Phys. 170, No. 1, 127-140 (2018). MSC: 82C70 PDF BibTeX XML Cite \textit{D. Kawagoe} and \textit{I. K. Chen}, J. Stat. Phys. 170, No. 1, 127--140 (2018; Zbl 1431.82026) Full Text: DOI
Chen, Ke; Li, Qin; Wang, Li Stability of stationary inverse transport equation in diffusion scaling. (English) Zbl 06850174 Inverse Probl. 34, No. 2, Article ID 025004, 26 p. (2018). MSC: 35 65 PDF BibTeX XML Cite \textit{K. Chen} et al., Inverse Probl. 34, No. 2, Article ID 025004, 26 p. (2018; Zbl 06850174) Full Text: DOI
Dimarco, G.; Pareschi, L.; Samaey, G. Asymptotic-preserving Monte Carlo methods for transport equations in the diffusive limit. (English) Zbl 1383.65130 SIAM J. Sci. Comput. 40, No. 1, A504-A528 (2018). MSC: 65M75 35L02 65C05 82C70 PDF BibTeX XML Cite \textit{G. Dimarco} et al., SIAM J. Sci. Comput. 40, No. 1, A504--A528 (2018; Zbl 1383.65130) Full Text: DOI arXiv
Han, Weimin; Long, Feixiao; Cong, Wenxiang; Intes, Xavier; Wang, Ge Radiative transfer with delta-Eddington-type phase functions. (English) Zbl 1411.82035 Appl. Math. Comput. 300, 70-78 (2017). MSC: 82C70 92C35 35R30 PDF BibTeX XML Cite \textit{W. Han} et al., Appl. Math. Comput. 300, 70--78 (2017; Zbl 1411.82035) Full Text: DOI
Kolesov, A. K.; Kropacheva, N. Yu. On nonstationary radiation fields in an infinite one-dimensional homogeneous medium. (English. Russian original) Zbl 1383.85009 Vestn. St. Petersbg. Univ., Math. 50, No. 1, 90-95 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 62, No. 1, 159-166 (2017). MSC: 85A25 78A25 81U05 PDF BibTeX XML Cite \textit{A. K. Kolesov} and \textit{N. Yu. Kropacheva}, Vestn. St. Petersbg. Univ., Math. 50, No. 1, 90--95 (2017; Zbl 1383.85009); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 62, No. 1, 159--166 (2017) Full Text: DOI
Gabbasov, N. S.; Galimova, Z. Kh. Optimal by the order methods of solving integral equations in a special case. (English. Russian original) Zbl 1421.65031 Russ. Math. 61, No. 9, 1-9 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 9, 3-12 (2017). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{N. S. Gabbasov} and \textit{Z. Kh. Galimova}, Russ. Math. 61, No. 9, 1--9 (2017; Zbl 1421.65031); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 9, 3--12 (2017) Full Text: DOI
Gabbasov, N. S. Special versions of the collocation method for integro-differential equations in the singular case. (English. Russian original) Zbl 1380.65437 Differ. Equ. 53, No. 9, 1222-1230 (2017); translation from Differ. Uravn. 53, No. 9, 1257-1264 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45J05 45A05 45E10 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Differ. Equ. 53, No. 9, 1222--1230 (2017; Zbl 1380.65437); translation from Differ. Uravn. 53, No. 9, 1257--1264 (2017) Full Text: DOI
Tang, Jinping; Han, Bo; Han, Weimin; Bi, Bo; Li, Li Mixed total variation and \(L^1\) regularization method for optical tomography based on radiative transfer equation. (English) Zbl 1369.92065 Comput. Math. Methods Med. 2017, Article ID 2953560, 15 p. (2017). MSC: 92C55 PDF BibTeX XML Cite \textit{J. Tang} et al., Comput. Math. Methods Med. 2017, Article ID 2953560, 15 p. (2017; Zbl 1369.92065) Full Text: DOI
Prieto, Kernel; Dorn, Oliver Sparsity and level set regularization for diffuse optical tomography using a transport model in 2D. (English) Zbl 1361.65104 Inverse Probl. 33, No. 1, Article ID 014001, 28 p. (2017). MSC: 65R20 45K05 65R32 45Q05 92C55 PDF BibTeX XML Cite \textit{K. Prieto} and \textit{O. Dorn}, Inverse Probl. 33, No. 1, Article ID 014001, 28 p. (2017; Zbl 1361.65104) Full Text: DOI
Després, Bruno; Buet, Christophe The structure of well-balanced schemes for Friedrichs systems with linear relaxation. (English) Zbl 1410.78030 Appl. Math. Comput. 272, Part 2, 440-459 (2016). MSC: 78M12 65M08 PDF BibTeX XML Cite \textit{B. Després} and \textit{C. Buet}, Appl. Math. Comput. 272, Part 2, 440--459 (2016; Zbl 1410.78030) Full Text: DOI
Gil’, Michael On stability of vector nonlinear integrodifferential equations. (English) Zbl 1413.45015 Int. J. Eng. Math. 2016, Article ID 1478482, 5 p. (2016). MSC: 45K05 45M10 35R05 PDF BibTeX XML Cite \textit{M. Gil'}, Int. J. Eng. Math. 2016, Article ID 1478482, 5 p. (2016; Zbl 1413.45015) Full Text: DOI
Lewis, Allison; Smith, Ralph; Williams, Brian; Figueroa, Victor An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes. (English) Zbl 1360.62416 J. Comput. Phys. 324, 24-43 (2016). MSC: 62K05 62P30 PDF BibTeX XML Cite \textit{A. Lewis} et al., J. Comput. Phys. 324, 24--43 (2016; Zbl 1360.62416) Full Text: DOI
Garrett, C. Kristopher; Hauck, Cory D. On the eigenstructure of spherical harmonic equations for radiative transport. (English) Zbl 1357.80006 Comput. Math. Appl. 72, No. 2, 264-270 (2016). MSC: 80A20 80A30 35Q79 PDF BibTeX XML Cite \textit{C. K. Garrett} and \textit{C. D. Hauck}, Comput. Math. Appl. 72, No. 2, 264--270 (2016; Zbl 1357.80006) Full Text: DOI
Gabbasov, Nazim S. Order-optimal methods for integro-differential equations in the singular case. (English. Russian original) Zbl 1359.65306 Differ. Equ. 52, No. 9, 1209-1218 (2016); translation from Differ. Uravn. 52, No. 9, 1252-1261 (2016). Reviewer: Neville Ford (Chester) MSC: 65R20 45A05 45J05 65D07 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Differ. Equ. 52, No. 9, 1209--1218 (2016; Zbl 1359.65306); translation from Differ. Uravn. 52, No. 9, 1252--1261 (2016) Full Text: DOI
Egger, Herbert; Schlottbom, Matthias A class of Galerkin schemes for time-dependent radiative transfer. (English) Zbl 1355.65174 SIAM J. Numer. Anal. 54, No. 6, 3577-3599 (2016). MSC: 65R20 45K05 85A25 PDF BibTeX XML Cite \textit{H. Egger} and \textit{M. Schlottbom}, SIAM J. Numer. Anal. 54, No. 6, 3577--3599 (2016; Zbl 1355.65174) Full Text: DOI
Ganapol, B. D.; Mostacci, D.; Previti, A. A solution of the monoenergetic neutral particle transport equation for adjacent half-spaces with anisotropic scattering. (English) Zbl 1349.76785 J. Comput. Phys. 316, 814-845 (2016). MSC: 76P05 82C70 85A30 PDF BibTeX XML Cite \textit{B. D. Ganapol} et al., J. Comput. Phys. 316, 814--845 (2016; Zbl 1349.76785) Full Text: DOI
Laiu, M. Paul; Hauck, Cory D.; McClarren, Ryan G.; O’Leary, Dianne P.; Tits, André L. Positive filtered \(\mathrm P_N\) moment closures for linear kinetic equations. (English) Zbl 1352.42032 SIAM J. Numer. Anal. 54, No. 6, 3214-3238 (2016). MSC: 42B37 35L02 65M15 41A10 41A29 90C20 82C70 82D75 PDF BibTeX XML Cite \textit{M. P. Laiu} et al., SIAM J. Numer. Anal. 54, No. 6, 3214--3238 (2016; Zbl 1352.42032) Full Text: DOI
Gabbasov, Nazim S. Direct methods for solving integro-differential equations in the singular case. (English. Russian original) Zbl 1351.45008 Differ. Equ. 52, No. 7, 863-876 (2016); translation from Differ. Uravn. 52, No. 2, 904-916 (2016). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 45J05 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Differ. Equ. 52, No. 7, 863--876 (2016; Zbl 1351.45008); translation from Differ. Uravn. 52, No. 2, 904--916 (2016) Full Text: DOI
Kanschat, Guido; Lucero Lorca, José Pablo A weakly penalized discontinuous Galerkin method for radiation in dense, scattering media. (English) Zbl 1348.65166 Comput. Methods Appl. Math. 16, No. 4, 563-577 (2016). MSC: 65N30 35Q20 65N55 82D75 PDF BibTeX XML Cite \textit{G. Kanschat} and \textit{J. P. Lucero Lorca}, Comput. Methods Appl. Math. 16, No. 4, 563--577 (2016; Zbl 1348.65166) Full Text: DOI
Kong, Rong; Spanier, Jerome A new proof of geometric convergence for the adaptive generalized weighted analog sampling (GWAS) method. (English) Zbl 1347.65005 Monte Carlo Methods Appl. 22, No. 3, 161-196 (2016). MSC: 65C05 82D75 PDF BibTeX XML Cite \textit{R. Kong} and \textit{J. Spanier}, Monte Carlo Methods Appl. 22, No. 3, 161--196 (2016; Zbl 1347.65005) Full Text: DOI
Machida, Manabu The radiative transport equation in flatland with separation of variables. (English) Zbl 1352.82017 J. Math. Phys. 57, No. 7, 073301, 16 p. (2016). Reviewer: Gen Qi Xu (Tianjin) MSC: 82C70 35Q20 81R05 35R05 PDF BibTeX XML Cite \textit{M. Machida}, J. Math. Phys. 57, No. 7, 073301, 16 p. (2016; Zbl 1352.82017) Full Text: DOI arXiv
Gölgeleyen, Fikret; Yamamoto, Masahiro Stability for some inverse problems for transport equations. (English) Zbl 1342.35451 SIAM J. Math. Anal. 48, No. 4, 2319-2344 (2016). MSC: 35R30 35B35 82C70 PDF BibTeX XML Cite \textit{F. Gölgeleyen} and \textit{M. Yamamoto}, SIAM J. Math. Anal. 48, No. 4, 2319--2344 (2016; Zbl 1342.35451) Full Text: DOI arXiv
Sharafutdinov, V. A. Killing tensor fields on the 2-torus. (English. Russian original) Zbl 1347.53033 Sib. Math. J. 57, No. 1, 155-173 (2016); translation from Sib. Mat. Zh. 57, No. 1, 199-221 (2016). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53C20 53D25 PDF BibTeX XML Cite \textit{V. A. Sharafutdinov}, Sib. Math. J. 57, No. 1, 155--173 (2016; Zbl 1347.53033); translation from Sib. Mat. Zh. 57, No. 1, 199--221 (2016) Full Text: DOI
Sheng, Qiwei; Wang, Cheng; Han, Weimin An optimal cascadic multigrid method for the radiative transfer equation. (English) Zbl 1337.65159 J. Comput. Appl. Math. 303, 189-205 (2016). MSC: 65N30 65R20 PDF BibTeX XML Cite \textit{Q. Sheng} et al., J. Comput. Appl. Math. 303, 189--205 (2016; Zbl 1337.65159) Full Text: DOI
Gil’, Michael On stability of linear barbashin type integrodifferential equations. (English) Zbl 1394.35536 Math. Probl. Eng. 2015, Article ID 962565, 5 p. (2015). MSC: 35R09 35B35 45K05 PDF BibTeX XML Cite \textit{M. Gil'}, Math. Probl. Eng. 2015, Article ID 962565, 5 p. (2015; Zbl 1394.35536) Full Text: DOI
Jablonski, A. The Chandrasekhar function revisited. (English) Zbl 1360.82006 Comput. Phys. Commun. 196, 416-428 (2015). MSC: 82-04 82-08 65R20 65D20 82C70 PDF BibTeX XML Cite \textit{A. Jablonski}, Comput. Phys. Commun. 196, 416--428 (2015; Zbl 1360.82006) Full Text: DOI
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. (English) Zbl 1352.65407 J. Comput. Phys. 289, 35-52 (2015). MSC: 65M75 PDF BibTeX XML Cite \textit{S. Jin} et al., J. Comput. Phys. 289, 35--52 (2015; Zbl 1352.65407) Full Text: DOI
Lehtikangas, O.; Tarvainen, T.; Kim, A. D.; Arridge, S. R. Finite element approximation of the radiative transport equation in a medium with piece-wise constant refractive index. (English) Zbl 1352.65524 J. Comput. Phys. 282, 345-359 (2015). MSC: 65N30 45K05 92C55 PDF BibTeX XML Cite \textit{O. Lehtikangas} et al., J. Comput. Phys. 282, 345--359 (2015; Zbl 1352.65524) Full Text: DOI
Mohankumar, N.; Sen, Soubhadra Some remarks regarding a modified Gauss-Legendre scheme. (English) Zbl 1352.65082 Comput. Phys. Commun. 197, 182-184 (2015). MSC: 65D30 PDF BibTeX XML Cite \textit{N. Mohankumar} and \textit{S. Sen}, Comput. Phys. Commun. 197, 182--184 (2015; Zbl 1352.65082) Full Text: DOI
Shulaia, D.; Ghurtskaia, P. On one linear integral equation with a coefficient that has zeros. (English. Russian original) Zbl 1382.30062 J. Math. Sci., New York 208, No. 6, 706-722 (2015); translation from Sovrem. Mat. Prilozh. 90 (2014). MSC: 30E20 30E25 45B05 45E05 PDF BibTeX XML Full Text: DOI
Arridge, Simon R.; Kaipio, Jari P.; Kolehmainen, Ville; Tarvainen, Tanja Optical imaging. (English) Zbl 1331.92070 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 1033-1079 (2015). MSC: 92C55 78A70 94A08 PDF BibTeX XML Cite \textit{S. R. Arridge} et al., in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 1033--1079 (2015; Zbl 1331.92070) Full Text: DOI
Mallet, Jessy; Brull, Stéphane; Dubroca, Bruno General moment system for plasma physics based on minimum entropy principle. (English) Zbl 1328.35244 Kinet. Relat. Models 8, No. 3, 533-558 (2015). MSC: 35Q84 35Q83 65Z05 82D10 PDF BibTeX XML Cite \textit{J. Mallet} et al., Kinet. Relat. Models 8, No. 3, 533--558 (2015; Zbl 1328.35244) 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 PDF BibTeX XML Cite \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
Egger, Herbert; Schlottbom, Matthias Numerical methods for parameter identification in stationary radiative transfer. (English) Zbl 1333.49050 Comput. Optim. Appl. 62, No. 1, 67-83 (2015). MSC: 49N45 49M30 49J20 65M32 35R09 35Q93 PDF BibTeX XML Cite \textit{H. Egger} and \textit{M. Schlottbom}, Comput. Optim. Appl. 62, No. 1, 67--83 (2015; Zbl 1333.49050) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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
Solov’eva, Svetlana A. Special version of the collocation method for a class of integral equations of the third kind based on Hermite-Fejer interpolation polynomials. (English) Zbl 07325168 J. Sib. Fed. Univ., Math. Phys. 7, No. 2, 254-259 (2014). MSC: 65 41 PDF BibTeX XML Cite \textit{S. A. Solov'eva}, J. Sib. Fed. Univ., Math. Phys. 7, No. 2, 254--259 (2014; Zbl 07325168) Full Text: MNR
Seibold, Benjamin; Frank, Martin StaRMAP – a second order staggered grid method for spherical harmonics moment equations of radiative transfer. (English) Zbl 1369.65103 ACM Trans. Math. Softw. 41, No. 1, Article No. 4, 28 p. (2014). MSC: 65M06 33C55 45K05 PDF BibTeX XML Cite \textit{B. Seibold} and \textit{M. Frank}, ACM Trans. Math. Softw. 41, No. 1, Article No. 4, 28 p. (2014; Zbl 1369.65103) Full Text: DOI arXiv
Gosse, Laurent Redheffer products and numerical approximation of currents in one-dimensional semiconductor kinetic models. (English) Zbl 1317.82056 Multiscale Model. Simul. 12, No. 4, 1533-1560 (2014). MSC: 82D37 65M06 PDF BibTeX XML Cite \textit{L. Gosse}, Multiscale Model. Simul. 12, No. 4, 1533--1560 (2014; Zbl 1317.82056) Full Text: DOI
Gabbasov, N. S.; Zamaliev, R. R. A special variant of the subdomain method for integral equations of the third kind with singularities in the kernel. (English. Russian original) Zbl 1312.65222 Russ. Math. 58, No. 10, 15-21 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 10, 19-26 (2014). Reviewer: Ilia V. Boikov (Penza) MSC: 65R20 45E10 46F10 PDF BibTeX XML Cite \textit{N. S. Gabbasov} and \textit{R. R. Zamaliev}, Russ. Math. 58, No. 10, 15--21 (2014; Zbl 1312.65222); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 10, 19--26 (2014) Full Text: DOI
Gabbasov, N. S.; Solov’eva, S. S. Special version of the subdomain method for a class of integral equations of the third kind in the space of distributions. (English. Russian original) Zbl 1312.65221 Russ. Math. 58, No. 7, 42-47 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 7, 49-55 (2014). Reviewer: Ilia V. Boikov (Penza) MSC: 65R20 45E10 46F10 PDF BibTeX XML Cite \textit{N. S. Gabbasov} and \textit{S. S. Solov'eva}, Russ. Math. 58, No. 7, 42--47 (2014; Zbl 1312.65221); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 7, 49--55 (2014) Full Text: DOI
De Zuyst, Florian; Salvarani, Francesco Numerical simulations of degenerate transport problems. (English) Zbl 1304.35725 Kinet. Relat. Models 7, No. 3, 463-476 (2014). MSC: 35R05 35B40 76M12 PDF BibTeX XML Cite \textit{F. De Zuyst} and \textit{F. Salvarani}, Kinet. Relat. Models 7, No. 3, 463--476 (2014; Zbl 1304.35725) Full Text: DOI
Balakina, E. Yu. Layerwise sensing in X-ray tomography in the polychromatic case. (Russian, English) Zbl 1313.78031 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 2, 318-335 (2014); translation in Comput. Math. Math. Phys. 54, No. 2, 335-352 (2014). MSC: 78A46 PDF BibTeX XML Cite \textit{E. Yu. Balakina}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 2, 318--335 (2014; Zbl 1313.78031); translation in Comput. Math. Math. Phys. 54, No. 2, 335--352 (2014) Full Text: DOI Link
Gabbasov, N. S. Special direct method for solving integral equations in the singular case. (English. Russian original) Zbl 1309.65157 Differ. Equ. 50, No. 9, 1232-1239 (2014); translation from Differ. Uravn. 50, No. 9, 1245-1252 (2014). Reviewer: Ilia V. Boikov (Penza) MSC: 65R20 45E10 45A05 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Differ. Equ. 50, No. 9, 1232--1239 (2014; Zbl 1309.65157); translation from Differ. Uravn. 50, No. 9, 1245--1252 (2014) Full Text: DOI
Pulkkinen, Aki; Kolehmainen, Ville; Kaipio, Jari P.; Cox, Benjamin T.; Arridge, Simon R.; Tarvainen, Tanja Approximate marginalization of unknown scattering in quantitative photoacoustic tomography. (English) Zbl 1302.94012 Inverse Probl. Imaging 8, No. 3, 811-829 (2014). MSC: 94A08 92C55 35R30 PDF BibTeX XML Cite \textit{A. Pulkkinen} et al., Inverse Probl. Imaging 8, No. 3, 811--829 (2014; Zbl 1302.94012) Full Text: DOI
Şahin-Biryol, Derya; Ilan, Boaz Asymptotic solution of light transport problems in optically thick luminescent media. (English) Zbl 1296.82054 J. Math. Phys. 55, No. 6, 061501, 18 p. (2014). MSC: 82C70 78A45 82D30 78A40 PDF BibTeX XML Cite \textit{D. Şahin-Biryol} and \textit{B. Ilan}, J. Math. Phys. 55, No. 6, 061501, 18 p. (2014; Zbl 1296.82054) Full Text: DOI
Caballero Mena, J.; Nalepa, R.; Sadarangani, K. Solvability of a quadratic integral equation of Fredholm type with supremum in Hölder spaces. (English) Zbl 1293.45001 J. Funct. Spaces 2014, Article ID 856183, 7 p. (2014). MSC: 45G10 45B05 PDF BibTeX XML Cite \textit{J. Caballero Mena} et al., J. Funct. Spaces 2014, Article ID 856183, 7 p. (2014; Zbl 1293.45001) Full Text: DOI
Darwish, Mohamed Abdalla; Rzepka, Beata Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type. (English) Zbl 1293.45010 J. Funct. Spaces 2014, Article ID 192542, 9 p. (2014). MSC: 45N05 45J05 45M05 45M10 26A33 PDF BibTeX XML Cite \textit{M. A. Darwish} and \textit{B. Rzepka}, J. Funct. Spaces 2014, Article ID 192542, 9 p. (2014; Zbl 1293.45010) Full Text: DOI
Egger, Herbert; Schlottbom, Matthias Stationary radiative transfer with vanishing absorption. (English) Zbl 1290.65128 Math. Models Methods Appl. Sci. 24, No. 5, 973-990 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45K05 82C70 PDF BibTeX XML Cite \textit{H. Egger} and \textit{M. Schlottbom}, Math. Models Methods Appl. Sci. 24, No. 5, 973--990 (2014; Zbl 1290.65128) Full Text: DOI
Vikas, V.; Hauck, C. D.; Wang, Z. J.; Fox, R. O. Radiation transport modeling using extended quadrature method of moments. (English) Zbl 1349.78080 J. Comput. Phys. 246, 221-241 (2013). MSC: 78M12 65M08 PDF BibTeX XML Cite \textit{V. Vikas} et al., J. Comput. Phys. 246, 221--241 (2013; Zbl 1349.78080) Full Text: DOI
Sheng, Qiwei; Han, Weimin Well-posedness of the Fokker-Planck equation in a scattering process. (English) Zbl 1311.35319 J. Math. Anal. Appl. 406, No. 2, 531-536 (2013). MSC: 35Q84 82C31 35R60 35A01 35A02 PDF BibTeX XML Cite \textit{Q. Sheng} and \textit{W. Han}, J. Math. Anal. Appl. 406, No. 2, 531--536 (2013; Zbl 1311.35319) Full Text: DOI
Mohankumar, N.; Rawat, Ajay Some comments on the evaluation of the Chandrasekhar \(H\) function. (English) Zbl 1305.65100 Comput. Phys. Commun. 184, No. 3, 579-581 (2013). MSC: 65D20 33C60 33F05 PDF BibTeX XML Cite \textit{N. Mohankumar} and \textit{A. Rawat}, Comput. Phys. Commun. 184, No. 3, 579--581 (2013; Zbl 1305.65100) Full Text: DOI
d’Eon, Eugene Rigorous asymptotic and moment-preserving diffusion approximations for generalized linear Boltzmann transport in arbitrary dimension. (English) Zbl 1305.82055 Transp. Theory Stat. Phys. 42, No. 6-7, 237-297 (2013). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82B41 PDF BibTeX XML Cite \textit{E. d'Eon}, Transp. Theory Stat. Phys. 42, No. 6--7, 237--297 (2013; Zbl 1305.82055) Full Text: DOI arXiv
Garrett, C. Kristopher; Hauck, Cory D. A comparison of moment closures for linear kinetic transport equations: the line source benchmark. (English) Zbl 1302.82088 Transp. Theory Stat. Phys. 42, No. 6-7, 203-235 (2013). MSC: 82C40 82-08 PDF BibTeX XML Cite \textit{C. K. Garrett} and \textit{C. D. Hauck}, Transp. Theory Stat. Phys. 42, No. 6--7, 203--235 (2013; Zbl 1302.82088) Full Text: DOI
Densmore, Jeffery D. Spatial moments of continuous transport problems computed on grids: time-dependent problems. (English) Zbl 1302.82096 Transp. Theory Stat. Phys. 42, No. 2-3, 85-98 (2013). MSC: 82C70 82C80 PDF BibTeX XML Cite \textit{J. D. Densmore}, Transp. Theory Stat. Phys. 42, No. 2--3, 85--98 (2013; Zbl 1302.82096) Full Text: DOI
Gabbasov, N. S. A new version of the collocation method for a class of integral equations in the singular case. (English. Russian original) Zbl 1285.65088 Differ. Equ. 49, No. 9, 1142-1149 (2013); translation from Differ. Uravn. 49, No. 9, 1178-1185 (2013). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45E05 46F10 PDF BibTeX XML Cite \textit{N. S. Gabbasov}, Differ. Equ. 49, No. 9, 1142--1149 (2013; Zbl 1285.65088); translation from Differ. Uravn. 49, No. 9, 1178--1185 (2013) Full Text: DOI
Abbas, Saïd; Benchohra, Mouffak; Diagana, Toka Existence and attractivity results for some fractional order partial integro-differential equations with delay. (English) Zbl 1282.26006 Afr. Diaspora J. Math. 15, No. 2, 87-100 (2013). MSC: 26A33 45G05 PDF BibTeX XML Cite \textit{S. Abbas} et al., Afr. Diaspora J. Math. 15, No. 2, 87--100 (2013; Zbl 1282.26006) Full Text: Euclid
Banaś, Józef; Nalepa, Rafał On the space of functions with growths tempered by a modulus of continuity and its applications. (English) Zbl 1275.46014 J. Funct. Spaces Appl. 2013, Article ID 820437, 13 p. (2013). MSC: 46E15 45B05 PDF BibTeX XML Cite \textit{J. Banaś} and \textit{R. Nalepa}, J. Funct. Spaces Appl. 2013, Article ID 820437, 13 p. (2013; Zbl 1275.46014) Full Text: DOI
Gao, Hao; Zhao, Hongkai Analysis of a numerical solver for radiative transport equation. (English) Zbl 1268.65165 Math. Comput. 82, No. 281, 153-172 (2013). Reviewer: Neville Ford (Chester) MSC: 65R20 45K05 85A25 PDF BibTeX XML Cite \textit{H. Gao} and \textit{H. Zhao}, Math. Comput. 82, No. 281, 153--172 (2013; Zbl 1268.65165) Full Text: DOI
Gao, Hao; Osher, Stanley; Zhao, Hongkai Quantitative photoacoustic tomography. (English) Zbl 1345.92087 Ammari, Habib (ed.), Mathematical modeling in biomedical imaging II. Optical, ultrasound, and opto-acoustic tomographies. Berlin: Springer (ISBN 978-3-642-22989-3/pbk; 978-3-642-22990-9/ebook). Lecture Notes in Mathematics 2035, 131-158 (2012). MSC: 92C55 76Q05 PDF BibTeX XML Cite \textit{H. Gao} et al., Lect. Notes Math. 2035, 131--158 (2012; Zbl 1345.92087) Full Text: DOI
Schotland, John C. Direct reconstruction methods in optical tomography. (English) Zbl 1345.92090 Ammari, Habib (ed.), Mathematical modeling in biomedical imaging II. Optical, ultrasound, and opto-acoustic tomographies. Berlin: Springer (ISBN 978-3-642-22989-3/pbk; 978-3-642-22990-9/ebook). Lecture Notes in Mathematics 2035, 1-29 (2012). MSC: 92C55 94A08 PDF BibTeX XML Cite \textit{J. C. Schotland}, Lect. Notes Math. 2035, 1--29 (2012; Zbl 1345.92090) Full Text: DOI
Jablonski, A. An effective algorithm for calculating the Chandrasekhar function. (English) Zbl 1305.82007 Comput. Phys. Commun. 183, No. 8, 1773-1782 (2012). MSC: 82-04 82-08 82C70 65R20 82D20 65D30 PDF BibTeX XML Cite \textit{A. Jablonski}, Comput. Phys. Commun. 183, No. 8, 1773--1782 (2012; Zbl 1305.82007) Full Text: DOI
Guo, Boling; Han, Yongqian Diffusion limit of a small mean free path of radiative transfer equations with absorbing boundary condition. (English) Zbl 1276.82056 Transp. Theory Stat. Phys. 41, No. 7, 552-582 (2012). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C70 82D75 80M35 35A01 35B40 74H20 60J60 78A40 PDF BibTeX XML Cite \textit{B. Guo} and \textit{Y. Han}, Transp. Theory Stat. Phys. 41, No. 7, 552--582 (2012; Zbl 1276.82056) Full Text: DOI
Zweifel, P. F. Kenneth Case and his singular “eigenfunctions”. (English) Zbl 1268.82038 Transp. Theory Stat. Phys. 41, No. 5-6, 406-417 (2012). MSC: 82C70 82-03 01A60 82C40 PDF BibTeX XML Cite \textit{P. F. Zweifel}, Transp. Theory Stat. Phys. 41, No. 5--6, 406--417 (2012; Zbl 1268.82038) Full Text: DOI
Densmore, Jeffery D. Spatial moments of continuous transport problems computed on grids. (English) Zbl 1288.82054 Transp. Theory Stat. Phys. 41, No. 5-6, 389-405 (2012). MSC: 82C70 PDF BibTeX XML Cite \textit{J. D. Densmore}, Transp. Theory Stat. Phys. 41, No. 5--6, 389--405 (2012; Zbl 1288.82054) Full Text: DOI
Heizler, Shay I.; Ravetto, Piero \(SP_2\)-asymptotic \(P_1\) equivalence. (English) Zbl 1273.82080 Transp. Theory Stat. Phys. 41, No. 3-4, 304-324 (2012). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82D75 35Q82 PDF BibTeX XML Cite \textit{S. I. Heizler} and \textit{P. Ravetto}, Transp. Theory Stat. Phys. 41, No. 3--4, 304--324 (2012; Zbl 1273.82080) Full Text: DOI
Picca, Paolo; Furfaro, Roberto; Ganapol, Barry D. On radiative transfer in dense vegetation canopies. (English) Zbl 1268.82036 Transp. Theory Stat. Phys. 41, No. 3-4, 223-244 (2012). MSC: 82C70 78A40 35Q20 PDF BibTeX XML Cite \textit{P. Picca} et al., Transp. Theory Stat. Phys. 41, No. 3--4, 223--244 (2012; Zbl 1268.82036) Full Text: DOI
Heizler, Shay I. The asymptotic telegrapher’s equation (\(P_1\)) approximation for time-dependent, thermal radiative transfer. (English) Zbl 1268.82034 Transp. Theory Stat. Phys. 41, No. 3-4, 175-199 (2012). MSC: 82C70 78A40 35Q20 82C40 80A20 PDF BibTeX XML Cite \textit{S. I. Heizler}, Transp. Theory Stat. Phys. 41, No. 3--4, 175--199 (2012; Zbl 1268.82034) Full Text: DOI
Gabbasov, N. S.; Solov’eva, S. A. Special versions of the collocation method for a class of integral equations of the third kind. (English. Russian original) Zbl 1258.45003 Russ. Math. 56, No. 8, 22-27 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 8, 27-33 (2012). Reviewer: Josef Kofroň (Praha) MSC: 45B05 45A05 45L05 65R20 PDF BibTeX XML Cite \textit{N. S. Gabbasov} and \textit{S. A. Solov'eva}, Russ. Math. 56, No. 8, 22--27 (2012; Zbl 1258.45003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 8, 27--33 (2012) Full Text: DOI
Anikonov, D. S.; Balakina, E. Yu. A polychromatic inhomogeneity indicator in an unknown medium for an X-ray tomography problem. (English. Russian original) Zbl 1254.35237 Sib. Math. J. 53, No. 4, 573-590 (2012); translation from Sib. Mat. Zh. 53, No. 4, 721-740 (2012). MSC: 35R30 35Q92 92C55 PDF BibTeX XML Cite \textit{D. S. Anikonov} and \textit{E. Yu. Balakina}, Sib. Math. J. 53, No. 4, 573--590 (2012; Zbl 1254.35237); translation from Sib. Mat. Zh. 53, No. 4, 721--740 (2012) Full Text: DOI
Wu, Fangfang; Shi, Weiping; Liu, Fang A lattice Boltzmann model for the Fokker-Planck equation. (English) Zbl 1252.35265 Commun. Nonlinear Sci. Numer. Simul. 17, No. 7, 2776-2790 (2012). MSC: 35Q84 35R60 60G20 65M22 PDF BibTeX XML Cite \textit{F. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 7, 2776--2790 (2012; Zbl 1252.35265) Full Text: DOI
Hussein, A.; Selim, M. M. Solution of the stochastic radiative transfer equation with Rayleigh scattering using RVT technique. (English) Zbl 1246.65014 Appl. Math. Comput. 218, No. 13, 7193-7203 (2012). MSC: 65C30 45R05 60H20 PDF BibTeX XML Cite \textit{A. Hussein} and \textit{M. M. Selim}, Appl. Math. Comput. 218, No. 13, 7193--7203 (2012; Zbl 1246.65014) Full Text: DOI