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Found 491 Documents (Results 1–100)

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Kong, Fande; Wang, Yaqi; Gaston, Derek R.; Permann, Cody J.; Slaughter, Andrew E.; Lindsay, Alexander D.; DeHart, Mark D.; Martineau, Richard C.
A highly parallel multilevel Newton-Krylov-Schwarz method with subspace-based coarsening and partition-based balancing for the multigroup neutron transport equation on three-dimensional unstructured meshes. (English) Zbl 1451.65221
SIAM J. Sci. Comput. 42, No. 5, C193-C220 (2020).
MSC:  65N55 65Y05 65N25 65N30 65F08 65F10 82D75 35Q49 35Q82
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\textit{F. Kong} et al., SIAM J. Sci. Comput. 42, No. 5, C193--C220 (2020; Zbl 1451.65221)
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Barcellos, Luiz F. F. Chaves; Bodmann, Bardo E. J.; Vilhena, Marco T.
On a parametric representation of the angular neutron flux in the energy range from 1 eV to 10 MeV. (English) Zbl 1447.82038
Constanda, Christian (ed.), Computational and analytic methods in science and engineering. Selected papers based on the presentations at the 19th international conference on computational and mathematical methods in science and engineering, CMMSE’19, Rota, Spain, June 30 – July 6, 2019. Cham: Birkhäuser. 45-59 (2020).
MSC:  82D75 35Q20 82M31 65C05
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\textit{L. F. F. C. Barcellos} et al., in: Computational and analytic methods in science and engineering. Selected papers based on the presentations at the 19th international conference on computational and mathematical methods in science and engineering, CMMSE'19, Rota, Spain, June 30 -- July 6, 2019. Cham: Birkhäuser. 45--59 (2020; Zbl 1447.82038)
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Parigi, Aline R.; Segatto, Cynthia F.; Bodmann, Bardo E. J.
The nodal \(LTS_N\) solution in a rectangular domain: a new method to determine the outgoing angular flux at the boundary. (English) Zbl 1453.82100
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 309-320 (2019).
MSC:  82D75 65D05 65D32 35Q49
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\textit{A. R. Parigi} et al., in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 309--320 (2019; Zbl 1453.82100)
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Espinosa, C. E.; Bodmann, B. E. J.; Vilhena, M. T.
On the neutron point kinetic equation with reactivity decomposition based on two time scales. (English) Zbl 1405.82039
Constanda, Christian (ed.) et al., Integral methods in science and engineering, Volume 2. Practical applications. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer (ISBN 978-3-319-59386-9/hbk; 978-3-319-59387-6/ebook). 65-75 (2017).
MSC:  82D75 82C40 82-08 34A34
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\textit{C. E. Espinosa} et al., in: Integral methods in science and engineering, Volume 2. Practical applications. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 65--75 (2017; Zbl 1405.82039)
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Dellacherie, Stéphane; Lafitte, Olivier
One dimensional explicit solution to a simplified model of stationary thermohydraulic-neutronic coupling. (Une solution explicite monodimensionnelle d’un modèle simplifié de couplage stationnaire thermohydraulique-neutronique.) (French. English summary) Zbl 1379.34041
Ann. Math. Qué. 41, No. 2, 221-264 (2017).
MSC:  34C60 34B30 76B99 82D75
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\textit{S. Dellacherie} and \textit{O. Lafitte}, Ann. Math. Qué. 41, No. 2, 221--264 (2017; Zbl 1379.34041)
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Moiseev, N. Ya.; Shmakov, V. M.
Modified splitting method for solving the nonstationary kinetic particle transport equation. (English. Russian original) Zbl 06701158
Comput. Math. Math. Phys. 56, No. 8, 1464-1473 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 8, 1480-1490 (2016).
MSC:  76 82
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\textit{N. Ya. Moiseev} and \textit{V. M. Shmakov}, Comput. Math. Math. Phys. 56, No. 8, 1464--1473 (2016; Zbl 06701158); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 8, 1480--1490 (2016)
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Tomaschewski, F. K.; Segatto, C. F.; Barros, R. C.; Vilhena, M. T. B.
Analytic representation of the solution of neutron kinetic transport equation in slab-geometry discrete ordinates formulation. (English) Zbl 1342.82168
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-16726-8/hbk; 978-3-319-16727-5/ebook). 617-627 (2015).
Reviewer: Dazmir Shulaia (Tbilisi)
MSC:  82D75 35Q82
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\textit{F. K. Tomaschewski} et al., in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 617--627 (2015; Zbl 1342.82168)
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Silva, J. J. A.; Alvim, A. C. M.; Bodmann, B. E. J.; Vilhena, M. T. B.
Comparison of analytical and numerical solution methods for the point kinetics equation with temperature feedback free of stiffness. (English) Zbl 1335.82033
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-16726-8/hbk; 978-3-319-16727-5/ebook). 563-575 (2015).
MSC:  82D75
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\textit{J. J. A. Silva} et al., in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 563--575 (2015; Zbl 1335.82033)
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Fernandes, J. C. L.; Dulla, S.; Ravetto, P.; Vilhena, M. T. B.
Multi-group neutron propagation in transport theory by space asymptotic methods. (English) Zbl 1341.82115
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-16726-8/hbk; 978-3-319-16727-5/ebook). 223-234 (2015).
MSC:  82D75 82C70
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\textit{J. C. L. Fernandes} et al., in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 223--234 (2015; Zbl 1341.82115)
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Fernandes, J. C. L.; Oliveira, F.; Bodmann, B. E. J.; Vilhena, M. T. B.
The multi-group neutron diffusion equation in general geometries using the Parseval identity. (English) Zbl 1341.82116
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-16726-8/hbk; 978-3-319-16727-5/ebook). 209-221 (2015).
MSC:  82D75 44A10 42A38 35Q82 82C70
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\textit{J. C. L. Fernandes} et al., in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 209--221 (2015; Zbl 1341.82116)
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Kokonkov, N. I.; Nikolaeva, O. V.
An iterative \(\mathrm{KP}_1\) method for solving the transport equation in 3D domains on unstructured grids. (English. Russian original) Zbl 1331.65176
Comput. Math. Math. Phys. 55, No. 10, 1698-1712 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1727-1740 (2015).
MSC:  65R20 45K05 82D75 82C70
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\textit{N. I. Kokonkov} and \textit{O. V. Nikolaeva}, Comput. Math. Math. Phys. 55, No. 10, 1698--1712 (2015; Zbl 1331.65176); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1727--1740 (2015)
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Elshin, A.
Finite difference equations for neutron flux and importance distribution in 3D heterogeneous reactor. (English) Zbl 1362.82058
Dimov, Ivan (ed.) et al., Finite difference methods, theory and applications. 6th international conference, FDM 2014, Lozenetz, Bulgaria, June 18–23, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-20238-9/pbk; 978-3-319-20239-6/ebook). Lecture Notes in Computer Science 9045, 169-176 (2015).
MSC:  82D75 35Q20 82-08 65M06
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\textit{A. Elshin}, Lect. Notes Comput. Sci. 9045, 169--176 (2015; Zbl 1362.82058)
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Hutchinson, Ian H.
A student’s guide to numerical methods. (English) Zbl 1322.65001
Cambridge: Cambridge University Press (ISBN 978-1-107-09567-0/hbk; 978-1-107-47950-0/pbk; 978-1-316-15551-6/ebook). xiv, 207 p. (2015).
Reviewer: Rolf Dieter Grigorieff (Berlin)
MSC:  65-01 34-01 35-01 00A06 00A79 35Qxx 65Z05 65Lxx 65Mxx 65Nxx 65C05 82-01 76-01
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\textit{I. H. Hutchinson}, A student's guide to numerical methods. Cambridge: Cambridge University Press (2015; Zbl 1322.65001)
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Hubeny, Ivan; Mihalas, Dimitri
Theory of stellar atmospheres. An introduction to astrophysical non-equilibrium quantitative spectroscopic analysis. (English) Zbl 1309.85001
Princeton Series in Astrophysics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16329-1/pbk; 978-0-691-16328-4/hbk; 978-1-400-85273-4/ebook). xvi, 923 p. (2015).
Reviewer: Claudia-Veronika Meister (Darmstadt)
MSC:  85-02 85A05 65Z05 85A15 85A20 85A30 76W05 76E20 85-08 85A25
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\textit{I. Hubeny} and \textit{D. Mihalas}, Theory of stellar atmospheres. An introduction to astrophysical non-equilibrium quantitative spectroscopic analysis. Princeton, NJ: Princeton University Press (2015; Zbl 1309.85001)
Jamelot, E.; Ciarlet, P. jun.; Baudron, A.-M.; Lautard, J.-J.
Domain decomposition for the neutron \(\mathrm{SP}_N\) equations. (English) Zbl 1383.82080
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 677-685 (2014).
MSC:  82D75 82-08 65Y05 65F10 65F15
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\textit{E. Jamelot} et al., Lect. Notes Comput. Sci. Eng. 98, 677--685 (2014; Zbl 1383.82080)
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Baudron, A.-M.; Lautard, J.-J.; Maday, Y.; Mula, O.
The parareal in time algorithm applied to the kinetic neutron diffusion equation. (English) Zbl 1383.82079
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 437-445 (2014).
MSC:  82D75 35Q82 82-08 65Y05 65M06 65N55
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\textit{A. M. Baudron} et al., Lect. Notes Comput. Sci. Eng. 98, 437--445 (2014; Zbl 1383.82079)
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Guermond, Jean-Luc; Kanschat, Guido; Ragusa, Jean C.
Discontinuous Galerkin for the radiative transport equation. (English) Zbl 1282.65171
Feng, Xiaobing (ed.) et al., Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9–11, 2012. Cham: Springer (ISBN 978-3-319-01817-1/hbk; 978-3-319-01818-8/ebook). The IMA Volumes in Mathematics and its Applications 157, 181-193 (2014).
MSC:  65R20 45K05 45A05 85A25 82D75
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\textit{J.-L. Guermond} et al., IMA Vol. Math. Appl. 157, 181--193 (2014; Zbl 1282.65171)
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Lambert, Flavien; Clérouin, Jean; Danel, Jean-François; Kazandjian, Luc; Mazevet, Stéphane
Chapter 6: Properties of hot and dense matter by orbital-free molecular dynamics. (English) Zbl 1378.82008
Wesolowski, Tomasz A. (ed.) et al., Recent progress in orbital-free density functional theory. Hackensack, NJ: World Scientific (ISBN 978-981-4436-72-4/hbk; 978-981-4436-74-8/ebook). Recent Advances in Computational Chemistry 6, 165-201 (2013).
MSC:  82-08 82B10 81Q05 82D10 65P10 65Z05 65Y05 76X05 82D75 81V35 82C22 90C52 81V70
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\textit{F. Lambert} et al., Recent Adv. Comput. Chem. 6, 165--201 (2013; Zbl 1378.82008)
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Tomaschewski, F. K.; Segatto, C. F.; Vilhena, M. T.
A genuine analytical solution for the SN multi-group neutron equation in planar geometry. (English) Zbl 1278.82079
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23–27, 2012. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7827-0/hbk; 978-1-4614-7828-7/ebook). 329-339 (2013).
MSC:  82D75 82C70
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\textit{F. K. Tomaschewski} et al., in: Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23--27, 2012. New York, NY: Birkhäuser/Springer. 329--339 (2013; Zbl 1278.82079)
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Schramm, M.; Petersen, C. Z.; Vilhena, M. T.; Bodmann, B. E. J.; Alvim, A. C. M.
On the fractional neutron point kinetics equations. (English) Zbl 1285.82054
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23–27, 2012. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7827-0/hbk; 978-1-4614-7828-7/ebook). 229-243 (2013).
Reviewer: Vladimir Čadež (Beograd)
MSC:  82D75 70G60 70-06 62P30 62P35
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\textit{M. Schramm} et al., in: Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23--27, 2012. New York, NY: Birkhäuser/Springer. 229--243 (2013; Zbl 1285.82054)
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Mansur, R. S.; Barros, R. C.
Analytical reconstruction of monoenergetic neutron angular flux in non-multiplying slabs using diffusion synthetic approximation. (English) Zbl 1278.82077
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23–27, 2012. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7827-0/hbk; 978-1-4614-7828-7/ebook). 217-227 (2013).
MSC:  82D75 60J60
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\textit{R. S. Mansur} and \textit{R. C. Barros}, in: Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23--27, 2012. New York, NY: Birkhäuser/Springer. 217--227 (2013; Zbl 1278.82077)
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Hauser, E. B.; Pazos, R. P.; Vilhena, M. T.
On the convergence of the multi-group isotropic neutron \(LTS_N\) nodal solution in Cartesian geometry. (English) Zbl 1278.82076
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23–27, 2012. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7827-0/hbk; 978-1-4614-7828-7/ebook). 183-193 (2013).
MSC:  82D75 82C70 76P05 44A10
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\textit{E. B. Hauser} et al., in: Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23--27, 2012. New York, NY: Birkhäuser/Springer. 183--193 (2013; Zbl 1278.82076)
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Barbarino, A.; Dulla, S.; Ravetto, P.
Integral neutron transport and new computational methods: a review. (English) Zbl 1278.82075
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23–27, 2012. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7827-0/hbk; 978-1-4614-7828-7/ebook). 41-56 (2013).
MSC:  82D75 35Q82 82-08 65M38 65M70
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\textit{A. Barbarino} et al., in: Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23--27, 2012. New York, NY: Birkhäuser/Springer. 41--56 (2013; Zbl 1278.82075)
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Graham, Carl; Talay, Denis
Stochastic simulation and Monte Carlo methods. Mathematical foundations of stochastic simulation. (English) Zbl 1281.65003
Stochastic Modelling and Applied Probability 68. Berlin: Springer (ISBN 978-3-642-39362-4/hbk; 978-3-642-39363-1/ebook). xvi, 260 p. (2013).
Reviewer: Vassil Grozdanov (Blagoevgrad)
MSC:  65-02 65C05 65C30 65C20 65C40 65C60 00A72 11K45 60K25 82C80 91G60 60H15 60H35 35R60 60H30 60J05 60J22
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\textit{C. Graham} and \textit{D. Talay}, Stochastic simulation and Monte Carlo methods. Mathematical foundations of stochastic simulation. Berlin: Springer (2013; Zbl 1281.65003)
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Schramm, M.; Petersen, C. Z.; Vilhena, M. T.; Bodmann, B. E. J.
An efficient algorithm to solve the GITT-transformed 2-D neutron diffusion equation. (English) Zbl 1252.82129
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12–14, 2010. Basel: Birkhäuser (ISBN 978-0-8176-8237-8/hbk; 978-0-8176-8238-5/ebook). 349-355 (2011).
MSC:  82D75 44A60
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\textit{M. Schramm} et al., in: Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12--14, 2010. Basel: Birkhäuser. 349--355 (2011; Zbl 1252.82129)
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Ceolin, C.; Vilhena, M. T.; Bodmann, B. E. J.
On the analytical solution of the multi-group neutron diffusion kinetic equation in one-dimensional Cartesian geometry by an integral transform technique. (English) Zbl 1252.82127
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12–14, 2010. Basel: Birkhäuser (ISBN 978-0-8176-8237-8/hbk; 978-0-8176-8238-5/ebook). 59-67 (2011).
MSC:  82D75 44A60
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\textit{C. Ceolin} et al., in: Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12--14, 2010. Basel: Birkhäuser. 59--67 (2011; Zbl 1252.82127)
Full Text: DOI
de Camargo, D. Q.; Bodmann, B. E. J.; Vilhena, M. T.; Leite, S.d. Q. B.
A novel method for simulating spectral nuclear reactor criticality by a spatially dependent volume size control. (English) Zbl 1252.82130
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12–14, 2010. Basel: Birkhäuser (ISBN 978-0-8176-8237-8/hbk; 978-0-8176-8238-5/ebook). 35-45 (2011).
MSC:  82D75 82C70 82C80
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\textit{D. Q. de Camargo} et al., in: Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12--14, 2010. Basel: Birkhäuser. 35--45 (2011; Zbl 1252.82130)
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