Edit Profile Junk, Michael Compute Distance To: Compute Author ID: junk.michael Published as: Junk, M.; Junk, Michael Homepage: http://www.math.uni-konstanz.de/numerik/personen/junk/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 53 Publications since 1998 Reviewing Activity: 20 Reviews all top 5 Co-Authors 9 single-authored 11 Yang, Zhaoxia 7 Klar, Axel 4 Unterreiter, Andreas 3 Banda, Mapundi Kondwani 3 Becker, Jürgen 3 Kehrwald, Dirk 3 Rheinländer, Martin 3 Romano, Vittorio 3 Thömmes, Guido 3 Venkiteswaran, Gopalakrishnan 3 Zingsheim, Frank 2 Caiazzo, Alfonso 2 Hietel, Dietmar 2 Steiner, Konrad 2 Vaikuntam, A. K. 2 Wiegmann, Andreas 2 Yong, Wen-An 1 Anile, Angelo Marcello 1 Böhlke, Thomas 1 Budday, Johannes 1 Dreyer, Wolfgang 1 Hölle, Stefan 1 Illner, Reinhard 1 Kauf, Peter 1 Keck, Rainer 1 Kuhnert, Jörg 1 Kunik, Matthias 1 Luo, Lishi 1 Raghurama Rao, S. V. 1 Roy, Samir 1 Russo, Giovanni 1 Sahli, Sebastian 1 Struckmeier, Jens 1 Sundar, Sobers 1 Teleaga, Delia 1 Tiwari, Sudarshan 1 Torrilhon, Manuel 1 Van Leemput, Pieter all top 5 Serials 6 Computers & Mathematics with Applications 4 Journal of Computational Physics 3 Journal of Statistical Physics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Mathematics and Computers in Simulation 2 SIAM Journal on Numerical Analysis 2 European Journal of Applied Mathematics 2 Continuum Mechanics and Thermodynamics 2 Progress in Computational Fluid Dynamics 2 Communications in Computational Physics 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computers and Fluids 1 Nonlinearity 1 Transport Theory and Statistical Physics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Computational Fluid Dynamics 1 Journal of Mathematical Fluid Mechanics 1 Advances in Applied Mathematics and Mechanics all top 5 Fields 40 Fluid mechanics (76-XX) 20 Statistical mechanics, structure of matter (82-XX) 16 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 42 Publications have been cited 506 times in 333 Documents Cited by ▼ Year ▼ Asymptotic analysis of the lattice Boltzmann equation. Zbl 1079.82013Junk, Michael; Klar, Axel; Luo, Li-Shi 108 2005 Maximum entropy for reduced moment problems. Zbl 1012.44005Junk, Michael 44 2000 Domain of definition of Levermore’s five-moment system. Zbl 0952.82024Junk, Michael 43 1998 Asymptotic analysis of lattice Boltzmann boundary conditions. Zbl 1107.82049Junk, Michael; Yang, Zhaoxia 25 2005 Rigorous Navier-Stokes limit of the lattice Boltzmann equation. Zbl 1043.76003Junk, Michael; Yong, Wen-An 23 2003 A finite difference interpretation of the lattice Boltzmann method. Zbl 0987.76082Junk, Michael 23 2001 Maximum entropy moment systems and Galilean invariance. Zbl 1024.76044Junk, M.; Unterreiter, A. 18 2002 Discretizations for the incompressible Navier-Stokes equations based on the lattice Boltzmann method. Zbl 0972.76083Junk, Michael; Klar, Axel 17 2000 Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains. Zbl 1160.76038Junk, Michael; Yang, Zhaoxia 16 2009 Outflow boundary conditions for the lattice Boltzmann method. Zbl 1139.76045Junk, Michael; Yang, Zhaoxia 15 2008 Weighted \(\mathbb{L}^2\)-stability of the lattice Boltzmann method. Zbl 1406.65075Junk, Michael; Yong, Wen-An 14 2009 On the approximation of the Fokker-Planck equation by moment systems. Zbl 1019.82014Dreyer, Wolfgang; Junk, Michael; Kunik, Matthias 12 2001 Boundary forces in lattice Boltzmann: Analysis of momentum exchange algorithm. Zbl 1142.76420Caiazzo, Alfonso; Junk, Michael 10 2008 A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method. Zbl 1169.76050Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. 9 2009 Do finite volume methods need an mesh? (With color plates 6-8, p. 463-464). Zbl 1015.65040Junk, Michael 9 2002 Comparison of analysis techniques for the lattice Boltzmann method. Zbl 1189.76400Caiazzo, Alfonso; Junk, Michael; Rheinländer, Martin 8 2009 Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains. Zbl 1142.76451Junk, Michael; Yang, Zhaoxia 8 2008 A new derivation of Jeffery’s equation. Zbl 1133.76014Junk, Michael; Illner, Reinhard 8 2007 Asymptotic analysis of finite difference methods. Zbl 1061.65084Junk, Michael; Yang, Zhaoxia 8 2004 Kinetic schemes in the case of low Mach numbers. Zbl 0944.76056Junk, Michael 7 1999 \(L_2\) convergence of the lattice Boltzmann method for one dimensional convection-diffusion-reaction equations. Zbl 1373.76249Junk, Michael; Yang, Zhaoxia 6 2015 Regular and multiscale expansions of a lattice Boltzmann method. Zbl 1144.76047Junk, Michael; Rheinländer, Martin 6 2008 Quasi-Monte Carlo algorithms for diffusion equations in high dimensions. Zbl 1069.65003Venkiteswaran, G.; Junk, M. 6 2005 Consistency analysis of mesh-free methods for conservation laws. Zbl 0994.65093Junk, Michael; Struckmeier, Jens 6 2001 A new discrete velocity method for Navier-Stokes equations. Zbl 0946.76077Junk, Michael; Raghurama Rao, S. V. 6 1999 Pressure boundary condition for the lattice Boltzmann method. Zbl 1189.76411Junk, Michael; Yang, Zhaoxia 5 2009 Meshless methods for conservation laws. Zbl 1088.76036Hietel, D.; Junk, M.; Kuhnert, J.; Tiwari, S. 5 2005 A QMC approach for high dimensional Fokker-Planck equations modelling polymeric liquids. Zbl 1059.82038Venkiteswaran, G.; Junk, M. 5 2005 Cross-validation of numerical schemes for extended hydrodynamical models of semiconductors. Zbl 1214.76012Anile, Angelo Marcello; Junk, Michael; Romano, Vittorio; Russo, Giovanni 5 2000 Asymptotic analysis of lattice Boltzmann outflow treatments. Zbl 1364.76178Junk, Michael; Yang, Zhaoxia 4 2011 Maximum entropy moment system of the semiconductor Boltzmann equation using Kane’s dispersion relation. Zbl 1097.78005Junk, Michael; Romano, Vittorio 4 2005 Maximum entropy moment problems and extended Euler equations. Zbl 1042.82042Junk, Michael 4 2004 Analysis of lattice Boltzmann boundary conditions. Zbl 1354.76146Junk, M.; Yang, Z. 4 2003 Numerical investigation of a combined lattice Boltzmann-level set method for three-dimensional multiphase flow. Zbl 1278.76093Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. 3 2009 Scale-induced closure for approximations of kinetic equations. Zbl 1213.82070Kauf, Peter; Torrilhon, Manuel; Junk, Michael 2 2010 A combined lattice BGK/level set method for immiscible two-phase flows. Zbl 1189.76399Becker, Jürgen; Junk, Michael; Kehrwald, Dirk; Thömmes, Guido; Yang, Zhaoxia 2 2009 Smooth initialization of lattice Boltzmann schemes. Zbl 1189.76417Van Leemput, Pieter; Rheinländer, Martin; Junk, Michael 2 2009 LBM – discrete dynamics and finite difference method. Zbl 1016.76061Junk, Michael 2 2001 Analysis and invariant properties of a lattice Boltzmann method. Zbl 1262.76085Junk, Michael; Yang, Zhaoxia 1 2010 A hybrid simulation method for radiative transfer equations. Zbl 1031.65153Junk, M.; Unterreiter, A.; Zingsheim, F. 1 2003 The finite-volume-particle method for conservation laws. Zbl 1028.76029Hietel, D.; Junk, M.; Keck, R.; Teleaga, D. 1 2001 A new perspective on kinetic schemes. Zbl 0982.35065Junk, Michael 1 2000 \(L_2\) convergence of the lattice Boltzmann method for one dimensional convection-diffusion-reaction equations. Zbl 1373.76249Junk, Michael; Yang, Zhaoxia 6 2015 Asymptotic analysis of lattice Boltzmann outflow treatments. Zbl 1364.76178Junk, Michael; Yang, Zhaoxia 4 2011 Scale-induced closure for approximations of kinetic equations. Zbl 1213.82070Kauf, Peter; Torrilhon, Manuel; Junk, Michael 2 2010 Analysis and invariant properties of a lattice Boltzmann method. Zbl 1262.76085Junk, Michael; Yang, Zhaoxia 1 2010 Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains. Zbl 1160.76038Junk, Michael; Yang, Zhaoxia 16 2009 Weighted \(\mathbb{L}^2\)-stability of the lattice Boltzmann method. Zbl 1406.65075Junk, Michael; Yong, Wen-An 14 2009 A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method. Zbl 1169.76050Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. 9 2009 Comparison of analysis techniques for the lattice Boltzmann method. Zbl 1189.76400Caiazzo, Alfonso; Junk, Michael; Rheinländer, Martin 8 2009 Pressure boundary condition for the lattice Boltzmann method. Zbl 1189.76411Junk, Michael; Yang, Zhaoxia 5 2009 Numerical investigation of a combined lattice Boltzmann-level set method for three-dimensional multiphase flow. Zbl 1278.76093Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. 3 2009 A combined lattice BGK/level set method for immiscible two-phase flows. Zbl 1189.76399Becker, Jürgen; Junk, Michael; Kehrwald, Dirk; Thömmes, Guido; Yang, Zhaoxia 2 2009 Smooth initialization of lattice Boltzmann schemes. Zbl 1189.76417Van Leemput, Pieter; Rheinländer, Martin; Junk, Michael 2 2009 Outflow boundary conditions for the lattice Boltzmann method. Zbl 1139.76045Junk, Michael; Yang, Zhaoxia 15 2008 Boundary forces in lattice Boltzmann: Analysis of momentum exchange algorithm. Zbl 1142.76420Caiazzo, Alfonso; Junk, Michael 10 2008 Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains. Zbl 1142.76451Junk, Michael; Yang, Zhaoxia 8 2008 Regular and multiscale expansions of a lattice Boltzmann method. Zbl 1144.76047Junk, Michael; Rheinländer, Martin 6 2008 A new derivation of Jeffery’s equation. Zbl 1133.76014Junk, Michael; Illner, Reinhard 8 2007 Asymptotic analysis of the lattice Boltzmann equation. Zbl 1079.82013Junk, Michael; Klar, Axel; Luo, Li-Shi 108 2005 Asymptotic analysis of lattice Boltzmann boundary conditions. Zbl 1107.82049Junk, Michael; Yang, Zhaoxia 25 2005 Quasi-Monte Carlo algorithms for diffusion equations in high dimensions. Zbl 1069.65003Venkiteswaran, G.; Junk, M. 6 2005 Meshless methods for conservation laws. Zbl 1088.76036Hietel, D.; Junk, M.; Kuhnert, J.; Tiwari, S. 5 2005 A QMC approach for high dimensional Fokker-Planck equations modelling polymeric liquids. Zbl 1059.82038Venkiteswaran, G.; Junk, M. 5 2005 Maximum entropy moment system of the semiconductor Boltzmann equation using Kane’s dispersion relation. Zbl 1097.78005Junk, Michael; Romano, Vittorio 4 2005 Asymptotic analysis of finite difference methods. Zbl 1061.65084Junk, Michael; Yang, Zhaoxia 8 2004 Maximum entropy moment problems and extended Euler equations. Zbl 1042.82042Junk, Michael 4 2004 Rigorous Navier-Stokes limit of the lattice Boltzmann equation. Zbl 1043.76003Junk, Michael; Yong, Wen-An 23 2003 Analysis of lattice Boltzmann boundary conditions. Zbl 1354.76146Junk, M.; Yang, Z. 4 2003 A hybrid simulation method for radiative transfer equations. Zbl 1031.65153Junk, M.; Unterreiter, A.; Zingsheim, F. 1 2003 Maximum entropy moment systems and Galilean invariance. Zbl 1024.76044Junk, M.; Unterreiter, A. 18 2002 Do finite volume methods need an mesh? (With color plates 6-8, p. 463-464). Zbl 1015.65040Junk, Michael 9 2002 A finite difference interpretation of the lattice Boltzmann method. Zbl 0987.76082Junk, Michael 23 2001 On the approximation of the Fokker-Planck equation by moment systems. Zbl 1019.82014Dreyer, Wolfgang; Junk, Michael; Kunik, Matthias 12 2001 Consistency analysis of mesh-free methods for conservation laws. Zbl 0994.65093Junk, Michael; Struckmeier, Jens 6 2001 LBM – discrete dynamics and finite difference method. Zbl 1016.76061Junk, Michael 2 2001 The finite-volume-particle method for conservation laws. Zbl 1028.76029Hietel, D.; Junk, M.; Keck, R.; Teleaga, D. 1 2001 Maximum entropy for reduced moment problems. Zbl 1012.44005Junk, Michael 44 2000 Discretizations for the incompressible Navier-Stokes equations based on the lattice Boltzmann method. Zbl 0972.76083Junk, Michael; Klar, Axel 17 2000 Cross-validation of numerical schemes for extended hydrodynamical models of semiconductors. Zbl 1214.76012Anile, Angelo Marcello; Junk, Michael; Romano, Vittorio; Russo, Giovanni 5 2000 A new perspective on kinetic schemes. Zbl 0982.35065Junk, Michael 1 2000 Kinetic schemes in the case of low Mach numbers. Zbl 0944.76056Junk, Michael 7 1999 A new discrete velocity method for Navier-Stokes equations. Zbl 0946.76077Junk, Michael; Raghurama Rao, S. V. 6 1999 Domain of definition of Levermore’s five-moment system. Zbl 0952.82024Junk, Michael 43 1998 all cited Publications top 5 cited Publications all top 5 Cited by 572 Authors 21 Junk, Michael 12 Krafczyk, Manfred 11 Yong, Wen-An 10 Luo, Lishi 9 Klar, Axel 8 Hauck, Cory D. 8 Lallemand, Pierre 7 Asinari, Pietro 7 Brull, Stephane 6 Dubois, François 6 Frank, Martin 6 Geier, Martin 6 Guo, Zhaoli 6 Krause, Mathias J. 6 Quinlan, Nathan J. 6 Radkevich, Evgeniĭ Vladimirovich 6 Wang, Lianping 6 Yang, Zhaoxia 6 Zhao, Weifeng 5 Banda, Mapundi Kondwani 5 Caiazzo, Alfonso 5 Romano, Vittorio 5 Schneider, Florian H. 5 Schneider, Jacques 5 Tekitek, Mohamed Mahdi 5 Torrilhon, Manuel 5 Zeng, Zhong 4 Aidun, Cyrus K. 4 Alldredge, Graham W. 4 Avellan, François 4 Clausen, Jonathan R. 4 Degond, Pierre 4 Huang, Juntao 4 Jahanbakhsh, Ebrahim 4 Kehrwald, Dirk 4 Maertens, Audrey P. 4 McDonald, James G. 4 Nestor, Ruairi M. 4 Ohwada, Taku 4 Pasquali, Andrea 4 Peng, Cheng 4 Rheinländer, Martin 4 Thömmes, Guido 4 Tölke, Jonas 4 Zhang, Liangqi 3 Becker, Jürgen 3 Dubroca, Bruno 3 Fueyo, Norberto 3 Geller, Sebastian 3 Groth, Clinton P. T. 3 Inamuro, Takaji 3 Izquierdo, Salvador 3 Kuhnert, Jörg 3 Lemou, Mohammed 3 Nirschl, Hermann 3 Pavan, Vincent 3 Pinaud, Olivier 3 Roller, Sabine 3 Rüde, Ulrich 3 Ruggeri, Tommaso 3 Seaïd, Mohammed 3 Silva, Goncalo 3 Suzuki, Kosuke 3 Tagliani, Aldo 3 Tölke, J. 3 Turek, Stefan 3 Venkiteswaran, Gopalakrishnan 3 Xu, Kun 3 Yoshida, Hiroaki 3 Zakharchenko, P. A. 3 Zhao, Jin 2 Ammar, Amine 2 Bartel, Andreas 2 Blokhin, Aleksandr Mikhaĭlovich 2 Böhle, Martin 2 Boyaval, Sébastien 2 Bushmanov, R. S. 2 Camiola, Vito Dario 2 Chew, Jia Wei 2 Chinesta, Francisco 2 Chopard, Bastien 2 Conrad, Daniel 2 Crouseilles, Nicolas 2 Cundall, Peter A. 2 Dörfler, Willy 2 Doss, L. Jones Tarcius 2 Duboscq, Romain 2 Falagkaris, E. J. 2 Fox, Rodney O. 2 Gaedtke, Maximilian 2 Garrett, C. Kristopher 2 Ginzburg, Irina 2 Graille, Benjamin 2 Guisset, Sebastien 2 Han, Yanhui 2 Heubes, Daniel 2 Hu, Zexi 2 Ingram, David M. 2 Janßen, Christian F. 2 Kall, Jochen ...and 472 more Authors all top 5 Cited in 74 Serials 68 Journal of Computational Physics 52 Computers & Mathematics with Applications 38 Computers and Fluids 17 Journal of Statistical Physics 12 Computer Methods in Applied Mechanics and Engineering 11 Journal of Fluid Mechanics 10 Continuum Mechanics and Thermodynamics 7 Applied Mathematics and Computation 7 Kinetic and Related Models 5 Computer Physics Communications 5 Journal of Mathematical Sciences (New York) 5 Multiscale Modeling & Simulation 4 Journal of Computational and Applied Mathematics 4 Mathematics and Computers in Simulation 4 International Journal of Computational Fluid Dynamics 3 International Journal for Numerical Methods in Fluids 3 Journal of Scientific Computing 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Acta Mechanica 2 Journal of Mathematical Analysis and Applications 2 Physica A 2 Transport Theory and Statistical Physics 2 International Journal for Numerical Methods in Engineering 2 SIAM Journal on Numerical Analysis 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 2 Computing and Visualization in Science 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 European Journal of Mechanics. B. Fluids 2 Differential Equations 2 Journal of Statistical Mechanics: Theory and Experiment 1 International Journal of Modern Physics B 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Journal of Differential Equations 1 Journal of Econometrics 1 Numerische Mathematik 1 Transactions of the American Mathematical Society 1 Computational Mechanics 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Neural Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Calculus of Variations and Partial Differential Equations 1 Monte Carlo Methods and Applications 1 Bernoulli 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 International Journal of Modern Physics C 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GEM - International Journal on Geomathematics 1 Analysis and Mathematical Physics 1 The Journal of Mathematical Neuroscience 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Cited in 35 Fields 259 Fluid mechanics (76-XX) 114 Numerical analysis (65-XX) 89 Statistical mechanics, structure of matter (82-XX) 67 Partial differential equations (35-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Mechanics of deformable solids (74-XX) 14 Biology and other natural sciences (92-XX) 6 Integral transforms, operational calculus (44-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 3 Probability theory and stochastic processes (60-XX) 3 Optics, electromagnetic theory (78-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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