Henning, Patrick; Persson, Anna On optimal convergence rates for discrete minimizers of the Gross-Pitaevskii energy in localized orthogonal decomposition spaces. (English) Zbl 1519.35292 Multiscale Model. Simul. 21, No. 3, 993-1011 (2023). MSC: 35Q55 65N15 65N25 65N30 82C10 PDFBibTeX XMLCite \textit{P. Henning} and \textit{A. Persson}, Multiscale Model. Simul. 21, No. 3, 993--1011 (2023; Zbl 1519.35292) Full Text: DOI arXiv
Xie, Hehu; Xie, Manting; Yin, Xiaobo; Zhao, Gang An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates. (English) Zbl 1512.65255 J. Sci. Comput. 94, No. 2, Paper No. 37, 20 p. (2023). MSC: 65N25 65N30 65N55 65N50 65F15 65F50 82B10 82M10 35Q82 35R37 PDFBibTeX XMLCite \textit{H. Xie} et al., J. Sci. Comput. 94, No. 2, Paper No. 37, 20 p. (2023; Zbl 1512.65255) Full Text: DOI
Cox, Alexander M. G.; Harris, Simon C.; Kyprianou, Andreas E.; Wang, Minmin Monte Carlo methods for the neutron transport equation. (English) Zbl 1494.82032 SIAM/ASA J. Uncertain. Quantif. 10, 775-825 (2022). MSC: 82D75 60J80 60J99 PDFBibTeX XMLCite \textit{A. M. G. Cox} et al., SIAM/ASA J. Uncertain. Quantif. 10, 775--825 (2022; Zbl 1494.82032) Full Text: DOI arXiv
Cox, Alexander M.; Horton, Emma; Kyprianou, Andreas E.; Villemonais, Denis Stochastic methods for neutron transport equation. III: Generational many-to-one and \(k_{\text{\texttt{eff}}}\). (English) Zbl 1467.82108 SIAM J. Appl. Math. 81, No. 3, 982-1001 (2021). MSC: 82D75 60J80 60J76 60J99 PDFBibTeX XMLCite \textit{A. M. Cox} et al., SIAM J. Appl. Math. 81, No. 3, 982--1001 (2021; Zbl 1467.82108) Full Text: DOI arXiv
Xu, Fei; Xie, Hehu; Xie, Manting; Yue, Meiling A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration. (English) Zbl 1465.65163 BIT 61, No. 2, 645-663 (2021). MSC: 65N55 65N30 65N25 65H10 82B10 PDFBibTeX XMLCite \textit{F. Xu} et al., BIT 61, No. 2, 645--663 (2021; Zbl 1465.65163) Full Text: DOI arXiv
Harris, Simon C.; Horton, Emma; Kyprianou, Andreas E. Stochastic methods for the neutron transport equation. II: Almost sure growth. (English) Zbl 1479.82115 Ann. Appl. Probab. 30, No. 6, 2815-2845 (2020). MSC: 82D75 60J76 60J80 81V35 35R09 35P30 PDFBibTeX XMLCite \textit{S. C. Harris} et al., Ann. Appl. Probab. 30, No. 6, 2815--2845 (2020; Zbl 1479.82115) Full Text: DOI arXiv Link
Horton, Emma; Kyprianou, Andreas E.; Villemonais, Denis Stochastic methods for the neutron transport equation. I: Linear semigroup asymptotics. (English) Zbl 1479.82116 Ann. Appl. Probab. 30, No. 6, 2573-2612 (2020). MSC: 82D75 60J80 82B41 81V35 35R09 35P20 PDFBibTeX XMLCite \textit{E. Horton} et al., Ann. Appl. Probab. 30, No. 6, 2573--2612 (2020; Zbl 1479.82116) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \textit{F. Kong} et al., SIAM J. Sci. Comput. 42, No. 5, C193--C220 (2020; Zbl 1451.65221) Full Text: DOI
Xu, Fei; Huang, Qiumei; Ma, Hongkun A novel domain decomposition framework for the ground state solution of Bose-Einstein condensates. (English) Zbl 1447.65176 Comput. Math. Appl. 80, No. 5, 1287-1300 (2020). MSC: 65N55 65N30 65N25 65F15 65Y05 82B10 35Q55 PDFBibTeX XMLCite \textit{F. Xu} et al., Comput. Math. Appl. 80, No. 5, 1287--1300 (2020; Zbl 1447.65176) Full Text: DOI
Zhang, Ning; Xu, Fei; Xie, Hehu An efficient multigrid method for ground state solution of Bose-Einstein condensates. (English) Zbl 1434.65287 Int. J. Numer. Anal. Model. 16, No. 5, 789-803 (2019). MSC: 65N30 65N50 65N55 35Q55 65N25 65N12 82M10 PDFBibTeX XMLCite \textit{N. Zhang} et al., Int. J. Numer. Anal. Model. 16, No. 5, 789--803 (2019; Zbl 1434.65287) Full Text: arXiv Link
Cox, Alexander M. G.; Harris, Simon C.; Horton, Emma L.; Kyprianou, Andreas E. Multi-species neutron transport equation. (English) Zbl 1420.82027 J. Stat. Phys. 176, No. 2, 425-455 (2019). MSC: 82D75 60J80 60J75 60J99 PDFBibTeX XMLCite \textit{A. M. G. Cox} et al., J. Stat. Phys. 176, No. 2, 425--455 (2019; Zbl 1420.82027) Full Text: DOI arXiv
Ciarlet Jr., P.; Giret, L.; Jamelot, E.; Kpadonou, F. D. Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients. (English) Zbl 1460.65137 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2003-2035 (2018). Reviewer: Michael Plum (Karlsruhe) MSC: 65N25 65N30 82D75 65N55 65N12 PDFBibTeX XMLCite \textit{P. Ciarlet Jr.} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2003--2035 (2018; Zbl 1460.65137) Full Text: DOI
Kong, Fande; Wang, Yaqi; Schunert, Sebastian; Peterson, John W.; Permann, Cody J.; Andrš, David; Martineau, Richard C. A fully coupled two-level Schwarz preconditioner based on smoothed aggregation for the transient multigroup neutron diffusion equations. (English) Zbl 1513.65367 Numer. Linear Algebra Appl. 25, No. 3, e2162, 23 p. (2018). MSC: 65M60 65M06 65N30 65N55 65N50 65H10 65N25 65F08 65F10 82D75 65Y05 35Q82 PDFBibTeX XMLCite \textit{F. Kong} et al., Numer. Linear Algebra Appl. 25, No. 3, e2162, 23 p. (2018; Zbl 1513.65367) Full Text: DOI Link
Latyshev, A. V.; Gordeeva, N. M. The behavior of plasma with an arbitrary degree of degeneracy of electron gas in the conductive layer. (English. Russian original) Zbl 1383.82060 Theor. Math. Phys. 192, No. 3, 1380-1395 (2017); translation from Teor. Mat. Fiz. 192, No. 3, 506-522 (2017). MSC: 82D10 35Q83 35Q20 35P99 82D35 PDFBibTeX XMLCite \textit{A. V. Latyshev} and \textit{N. M. Gordeeva}, Theor. Math. Phys. 192, No. 3, 1380--1395 (2017; Zbl 1383.82060); translation from Teor. Mat. Fiz. 192, No. 3, 506--522 (2017) Full Text: DOI arXiv
Vidal-Ferràndiz, A.; González-Pintor, S.; Ginestar, D.; Verdú, G.; Demazière, C. Schwarz type preconditioners for the neutron diffusion equation. (English) Zbl 1468.65180 J. Comput. Appl. Math. 309, 563-574 (2017). MSC: 65N25 65N30 65N55 82D75 PDFBibTeX XMLCite \textit{A. Vidal-Ferràndiz} et al., J. Comput. Appl. Math. 309, 563--574 (2017; Zbl 1468.65180) Full Text: DOI
Xie, Hehu; Xie, Manting A multigrid method for ground state solution of Bose-Einstein condensates. (English) Zbl 1373.82042 Commun. Comput. Phys. 19, No. 3, 648-662 (2016). MSC: 82B80 82B20 65N30 65N25 65N55 PDFBibTeX XMLCite \textit{H. Xie} and \textit{M. Xie}, Commun. Comput. Phys. 19, No. 3, 648--662 (2016; Zbl 1373.82042) Full Text: DOI arXiv Link
Zhao, Tao; Hwang, Feng-Nan; Cai, Xiao-Chuan A domain decomposition based Jacobi-Davidson algorithm for quantum dot simulation. (English) Zbl 1343.82056 Dickopf, Thomas (ed.) et al., Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Cham: Springer (ISBN 978-3-319-18826-3/hbk; 978-3-319-18827-0/ebook). Lecture Notes in Computational Science and Engineering 104, 415-423 (2016). MSC: 82D37 81V65 82-08 65N08 65N25 65N55 65Y05 PDFBibTeX XMLCite \textit{T. Zhao} et al., Lect. Notes Comput. Sci. Eng. 104, 415--423 (2016; Zbl 1343.82056) Full Text: DOI
Scherer, Philipp O. J. Computational physics. Simulation of classical and quantum systems. 2nd ed. (English) Zbl 1303.82008 Graduate Texts in Physics. Cham: Springer (ISBN 978-3-319-00400-6/hbk; 978-3-319-00401-3/ebook). xviii, 454 p. (2013). Reviewer: Georg Hebermehl (Berlin) MSC: 82-02 65Z05 65-01 82-08 00A06 00A79 PDFBibTeX XMLCite \textit{P. O. J. Scherer}, Computational physics. Simulation of classical and quantum systems. 2nd ed. Cham: Springer (2013; Zbl 1303.82008) Full Text: DOI
Sauter, E.; de Azevedo, F. S.; Thompson, M.; Vilhena, M. T. Eigenvalues of the anisotropic transport equation in a slab. (English) Zbl 1276.82058 Transp. Theory Stat. Phys. 41, No. 5-6, 448-472 (2012). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82D75 85A25 45K05 45C05 PDFBibTeX XMLCite \textit{E. Sauter} et al., Transp. Theory Stat. Phys. 41, No. 5--6, 448--472 (2012; Zbl 1276.82058) Full Text: DOI
Guérin, Pierre; Baudron, Anne-Marie; Lautard, Jean-Jacques Domain decomposition methods for the neutron diffusion problem. (English) Zbl 1196.65174 Math. Comput. Simul. 80, No. 11, 2159-2167 (2010). MSC: 65N25 35J25 82D75 65N30 65N55 65Y05 35P15 PDFBibTeX XMLCite \textit{P. Guérin} et al., Math. Comput. Simul. 80, No. 11, 2159--2167 (2010; Zbl 1196.65174) Full Text: DOI
Zhang, Li-Mei; Liu, Xin Significant residue features revealed by eigenvalue decomposition analysis of BLOSUM matrices. (English) Zbl 1220.82115 Phys. Lett., A 372, No. 13, 2282-2285 (2008). MSC: 82D15 82D20 92C40 81V55 81Q10 PDFBibTeX XMLCite \textit{L.-M. Zhang} and \textit{X. Liu}, Phys. Lett., A 372, No. 13, 2282--2285 (2008; Zbl 1220.82115) Full Text: DOI Link
Brandt, Achi Multiscale scientific computation: Review 2001. (English) Zbl 0989.65140 Barth, Timothy J. (ed.) et al., Multiscale and multiresolution methods. Theory and applications. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 20, 3-95 (2002). MSC: 65N55 65-02 68P30 68U10 65T60 93B52 68W30 81V55 65L15 65N25 65R10 65C05 82B80 82C80 92C50 65K05 PDFBibTeX XMLCite \textit{A. Brandt}, Lect. Notes Comput. Sci. Eng. 20, 3--95 (2002; Zbl 0989.65140)
Schmid, Werner Adaptive mixed and non-conformal finite element methods and applications to multigroup diffusion equations. (Adaptive gemischte und nichtkonforme Finite-Elemente Methoden und Anwendungen auf die Mehrgruppen-Diffusionsgleichungen.) (German) Zbl 0853.65114 Augsburger Mathematisch-Naturwissenschaftliche Schriften. 11. Augsburg: Verlag Dr Wißner. 163 p. (Univ. Augsburg) (1996). MSC: 65N25 65N55 65N12 82D75 65N30 65F10 PDFBibTeX XMLCite \textit{W. Schmid}, Adaptive gemischte und nichtkonforme Finite-Elemente Methoden und Anwendungen auf die Mehrgruppen-Diffusionsgleichungen. Augsburg: Verlag Dr Wißner (1996; Zbl 0853.65114)
Schmid, Werner Solution of the neutron diffusion equation using multigrid-methods. (English) Zbl 0850.65242 Z. Angew. Math. Mech. 75, Suppl. 2, S709-S710 (1995). MSC: 65N55 65F15 65N25 35J25 82D75 35P15 PDFBibTeX XMLCite \textit{W. Schmid}, Z. Angew. Math. Mech. 75, S709--S710 (1995; Zbl 0850.65242)