Junk, Michael; Yang, Zhaoxia \(L_2\) convergence of the lattice Boltzmann method for one dimensional convection-diffusion-reaction equations. (English) Zbl 1373.76249 Commun. Comput. Phys. 17, No. 5, 1225-1245 (2015). MSC: 76M28 65M75 65M12 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, Commun. Comput. Phys. 17, No. 5, 1225--1245 (2015; Zbl 1373.76249) Full Text: DOI
Junk, Michael; Yang, Zhaoxia Asymptotic analysis of lattice Boltzmann outflow treatments. (English) Zbl 1364.76178 Commun. Comput. Phys. 9, No. 5, 1117-1127 (2011). MSC: 76M28 65N06 76D05 82C40 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, Commun. Comput. Phys. 9, No. 5, 1117--1127 (2011; Zbl 1364.76178) Full Text: DOI
Junk, Michael; Yang, Zhaoxia Analysis and invariant properties of a lattice Boltzmann method. (English) Zbl 1262.76085 Adv. Appl. Math. Mech. 2, No. 5, 640-669 (2010). MSC: 76M28 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, Adv. Appl. Math. Mech. 2, No. 5, 640--669 (2010; Zbl 1262.76085) Full Text: DOI
Becker, Jürgen; Junk, Michael; Kehrwald, Dirk; Thömmes, Guido; Yang, Zhaoxia A combined lattice BGK/level set method for immiscible two-phase flows. (English) Zbl 1189.76399 Comput. Math. Appl. 58, No. 5, 950-964 (2009). MSC: 76M28 PDF BibTeX XML Cite \textit{J. Becker} et al., Comput. Math. Appl. 58, No. 5, 950--964 (2009; Zbl 1189.76399) Full Text: DOI
Junk, Michael; Yang, Zhaoxia Pressure boundary condition for the lattice Boltzmann method. (English) Zbl 1189.76411 Comput. Math. Appl. 58, No. 5, 922-929 (2009). MSC: 76M28 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, Comput. Math. Appl. 58, No. 5, 922--929 (2009; Zbl 1189.76411) Full Text: DOI
Junk, Michael; Yang, Zhaoxia Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains. (English) Zbl 1160.76038 Numer. Math. 112, No. 1, 65-87 (2009). MSC: 76M28 76D05 65M12 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, Numer. Math. 112, No. 1, 65--87 (2009; Zbl 1160.76038) Full Text: DOI
Junk, Michael; Yang, Zhaoxia Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains. (English) Zbl 1142.76451 Comput. Math. Appl. 55, No. 7, 1481-1491 (2008). MSC: 76M28 76D05 82C80 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, Comput. Math. Appl. 55, No. 7, 1481--1491 (2008; Zbl 1142.76451) Full Text: DOI
Junk, Michael; Yang, Zhaoxia Outflow boundary conditions for the lattice Boltzmann method. (English) Zbl 1139.76045 Prog. Comput. Fluid Dyn. 8, No. 1-4, 38-48 (2008). MSC: 76M28 76D05 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, Prog. Comput. Fluid Dyn. 8, No. 1--4, 38--48 (2008; Zbl 1139.76045) Full Text: DOI
Junk, Michael; Yang, Zhaoxia Asymptotic analysis of lattice Boltzmann boundary conditions. (English) Zbl 1107.82049 J. Stat. Phys. 121, No. 1-2, 3-35 (2005). Reviewer: Agneta Balint (Timişoara) MSC: 82C80 76D05 76M28 82C40 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, J. Stat. Phys. 121, No. 1--2, 3--35 (2005; Zbl 1107.82049) Full Text: DOI
Junk, Michael; Yang, Zhaoxia Asymptotic analysis of finite difference methods. (English) Zbl 1061.65084 Appl. Math. Comput. 158, No. 1, 267-301 (2004). MSC: 65M15 34A34 65M06 65L70 65L12 65L05 35L45 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, Appl. Math. Comput. 158, No. 1, 267--301 (2004; Zbl 1061.65084) Full Text: DOI
Junk, M.; Yang, Z. Analysis of lattice Boltzmann boundary conditions. (English) Zbl 1354.76146 PAMM, Proc. Appl. Math. Mech. 3, 76-79 (2003). MSC: 76M28 76P05 PDF BibTeX XML Cite \textit{M. Junk} and \textit{Z. Yang}, PAMM, Proc. Appl. Math. Mech. 3, 76--79 (2003; Zbl 1354.76146) Full Text: DOI