Wen-An Yong
Professor
Affiliation: BIMSA , Tsinghua University
Group: Computational Mathematics
Email: yongwenan@bimsa.cn
Research Field: Theoretical Analysis and Numerical Methods of Application of Partial Differential Equations
Biography
Prof. Wen-An Yong's main research fields are partial differential equations, numerical methods and non-equilibrium thermodynamics. He systematically established the mathematical theory on relaxation problems of hyperbolic partial differential equations, including the existence and stability of zero relaxation limit, the existence and long-time behavior of global smooth solutions, the validity of Chapman-Enskog expansion, the formulation of boundary conditions and the derivation of limiting boundary conditions, boundary control, etc., and found the intrinsic commonness of such problems (Yong's stability condition). He proposed the conservation-dissipation theory (CDF) of nonequilibrium thermodynamics, which has been successfully applied to the fields of biology and geoscience, and put forward the mathematical model (Yong's model) that has been verified by experiments to describe flows of compressible viscoelastic fluids. In computational fluid dynamics, he proved the stability and convergence of the lattice Boltzmann method widely used in engineering, and first proposed the single-node boundary scheme (ZY method) for this numerical method, which has been widely used. His main results were published in well-known international journals in related fields, such as Arch. Rational Mech. Anal., Automatica, J. Comput. Phys., Philos. Trans. Royal Soc. A, Siam series etc., some of which have been adopted by several authoritative monographs and textbooks.
Research Interest
- Mathematical Modeling, Machine Learning
- Non-equilibrium Thermodynamics
- Numerical Methods, Computational Fluid Dynamics
- Applied Partial Differential Equations
Education Experience
- 1989 - 1992 University of Heidelberg Doctor Dr.rer.nat.
- 1984 - 1987 Institute of Computational Mathematics and Scientific & Engineering Computing, Chinese Academy of Sciences Master
- 1980 - 1984 Sun Yat-sen University Bachelor
- - 2005 University of Heidelberg Habilitation
Work Experience
- 2021 - BIMSA Professor
- 2005 - Tsinghua University Professor
- 1998 - 2005 University of Heidelberg Assistant Professor (C1)
- 1993 - 1998 University of Heidelberg Research Associate
- 1993 - 1993 ETH Zurich Postdoc
- 1987 - 1989 Beijing Institute of Applied Physics and Computational Mathematics Assistant Professor
Honors and Awards
- 2018 Member of the International Scientific Advisory Board of UKCOMES (Consortium on Mesoscale Engineering Sciences, United Kingdom)
Publication
- [1] Zhang, Ruixi, Qian Huang, and Wen-An Yong, Stability analysis of an extended quadrature method of moments for kinetic equations, SIAM Journal on Mathematical Analysis, 56(4), 4687-4711 (2024)
- [2] Zhiting Ma,Wen-An Yong, Non-relativistic limit of the Euler-$HMP_N$ approximation model arising in radiation hydrodynamics, Math. Meth. Appl. Sci., 46(2023), 13741-13780
- [3] Qian Huang, Yihong Chen, Wen-An Yong, Discrete-velocity-direction models of BGK-type with minimum entropy: I. Basic idea, Journal of Scientific Computing, 95(2023), 3
- [4] Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, and Wen-An Yong, Machine learning moment closure models for the radiative transfer equation II: enforcing global hyperbolicity in gradient based closures, Multiscale Modeling and Simulation, 21(2023), 2, 489-512
- [5] Juntao Huang & Yizhou Zhou & Wen-An Yong, Data-driven discovery of multiscale chemical reactions governed by the law of mass action, J. Comput. Phys. 448:11 (2022), 110743.
- [6] Yizhou Zhou & Wen-An Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II, J. Differ. Equations 310:5 (2022), 198–234.
- [7] Qian Huang & Julian Koellermeier & Wen-An Yong, Equilibrium Stability Analysis of Hyperbolic Shallow Water Moment Equations, Math. Meth. Appl. Sci., accepted on February 6, 2022.
- [8] Xiaxia Cao & Wen-An Yong, Construction of Boundary Conditions for Hyperbolic Relaxation Approximations. II: Jin-Xin Relaxation Model, Quarterly of Applied Mathematics, accepted on April 28, 2022.
- [9] Fansheng Xiong, and Wen-An Yong, Learning stable seismic wave equations for porous media from real data, Geophysical Journal International, 230(2022), 1, 349-362
- [10] Jin Zhao, Weifeng Zhao, Zhiting Ma, Wen-An Yong, and Bin Dong, Finding models of heat conduction via machine learning, International Journal of Heat and Mass Transfer(2022)
- [11] YZ Zhou, W. Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II, J. Differ. Equ., (), -, (2022)
- [12] XX Cao, WA Yong, CONSTRUCTION OF BOUNDARY CONDITIONS FOR HYPERBOLIC RELAXATION APPROXIMATIONS II: JIN-XIN RELAXATION MODEL, Q. Appl. Math., (), -, (2022)
- [13] Yizhou Zhou & Wen-An Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I, J. Differ. Equations 281 (2021), 289–332.
- [14] Pierre Lallemand & Li-Shi Luo & Manfred Krafczyk & Wen-An Yong, The lattice Boltzmann method for nearly incompressible flows, J. Comput. Phys. 431 (2021), 109713
- [15] Weifeng Zhao & Juntao Huang & Wen-An Yong, Lattice Boltzmann method for stochastic convection-diffusion equations, SIAM J. UQ. 9:2 (2021), 536–563.
- [16] Weifeng Zhao & Wen-An Yong, Boundary conditions for kinetic theory based models II. a linearized moment system, Math. Meth. Appl. Sci. 44:18 (2021), pp.14148-14172
- [17] Wen-An Yong & Yizhou Zhou, Recent advances on boundary conditions for equations in nonequilibrium thermodynamics, Symmetry 13:9(2021), 1710. https://doi.org/10.3390/sym13091710
- [18] Juntao Huang, Zhiting Ma, Yizhou Zhou, and Wen-An Yong, Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-Equilibrium Flows, Journal of Non-Equilibrium Thermodynamics, 46(2021), 4, 355-370
- [19] Yong W A, Zhou Y, Recent Advances on Boundary Conditions for Equations in Nonequilibrium Thermodynamics, Symmetry-Basel, (), -, (2021)
- [20] Huang J , Zhou Y , Yong W A , Data-driven discovery of multiscale chemical reactions governed by the law of mass action, J. Comput. Phys., (), -, (2021)
- [21] Qian Huang & Shuiqing Li & Wen-An Yong, Stability analysis of quadrature-based moment methods for kinetic equations, SIAM J. Appl. Math. 80:1 (2020), 206–231.
- [22] Weifeng Zhao & Wen-An Yong, Boundary scheme for a discrete kinetic approximation of the Navier-Stokes equations, J. Sci. Comput. 82:3 (2020), UNSP 71.
- [23] Wen-An Yong, Intrinsic properties of conservation-dissipation formalism of irreversible thermodynamics, Phil. Trans. R. Soc. A 378: 2170 (2020), 20190177.
- [24] Jiawei Liu & Wen-An Yong & Jianxin Liu & Zhenwei Guo, Stable finite-difference methods for elastic wave modeling with characteristic boundary conditions, Mathematics 8:6 (2020), 1039.
- [25] Jin Zhao & Zhimin Zhang & Wen-An Yong, Approximation of the multi-dimensional incompressible Navier-Stokes equations by discretevelocity vector-BGK models, J. Math. Anal. Appl. 486:2 (2020), 123901.
- [26] Yizhou Zhou & Wen-An Yong, Construction of boundary conditions for hyperbolic relaxation approximations. I: the linearized Suliciu model, Math. Models and Methods Appl. Sci. 30:7 (2020), 1407–1439.
- [27] Weifeng Zhao & Wen-An Yong, Weighted L2-stability of a discrete kinetic approximation for the incompressible Navier-Stokes equations on bounded domains, J. Comput. Appl. Math. 376 (2020), 112820.
- [28] Wen-An Yong & Weifeng Zhao, Numerical analysis of the lattice Boltzmann method for the Boussinesq equations, J. Sci. Comput. 84:2 (2020),
- [29] Jin Zhao & Zhimin Zhang & Wen-An Yong, Vector-type boundary schemes for the lattice Boltzmann method based on vector-BGK models, SIAM J. Sci. Comput. 42: 5(2020), 1250–1270.
- [30] Wen-An Yong, Boundary stabilization of hyperbolic balance laws with characteristic boundaries, Automatica 101 (2019), 252–257.
- [31] Weifeng Zhao & Juntao Huang & Wen-An Yong, Boundary conditions for kinetic theory based models I: lattice Boltzmann models, Multiscale Model. Simul. 17(2) (2019), 854-872.
- [32] Weifeng Zhao & Wen-An Yong, Relaxation-rate formula for the entropic lattice Boltzmann model, Chin. Phys. B 28(11) (2019), 114701.
- [33] Weifeng Zhao & Liang Wang & Wen-An Yong, On a tworelaxation-time D2Q9 lattice Boltzmann model for the Navier-Stokes equations, Physica A 492 (2018) 1570–1580.
- [34] Vincent Giovangigli & Wen-An Yong, Volume Viscosity and Internal Energy Relaxation: Error Estimates, Nonlinear Analysis-Real World Applications 43 (2018), 213–244.
- [35] Vincent Giovangigli & Zaibao Yang & Wen-An Yong, Relaxation Limit and Initial-Layers for a Class of Hyperbolic-Parabolic Systems, SIAM J. Math. Anal. 50 (2018), 4655–4697.
- [36] Zaibao Yang, Wen-An Yong, Yi Zhu, Generalized hydrodynamics and the classical hydrodynamic limit(2018)
- [37] Weifeng Zhao & Wen-An Yong, Single-node second-order boundary schemes for the lattice Boltzmann method, J. Comput. Phys. 329 (2017), 1–15.
- [38] Weifeng Zhao & Wen-An Yong & Li-Shi Luo, Stability analysis of a class of globally hyperbolic moment systems, Commun. Math. Sci. 15:3 (2017), 609–633.
- [39] Xiaokai Huo & Wen-An Yong, Global existence for viscoelastic fluids with infinite Weissenberg number, Commun. Math. Sci. 15:4 (2017), 1129–1140.
- [40] Weifeng Zhao & Wen-An Yong, Maxwell iteration for the lattice Boltzmann method with diffusive scaling, Phys. Rev. E 95:3 (2017), 033311.
- [41] Vincent Giovangigli & Wen-An Yong, Asymptotic stability and relaxation for fast chemistry fluids, Nonlinear Analysis-Theory Methods & Applications 159 (2017), 208–263.
- [42] Yeping Li & Wen-An Yong, Zero Mach number limit of the compressible Navier-Stokes-Korteweg equations, Commun. Math. Sci. 14:1 (2016), 233–247.
- [43] Jiawei Liu & Wen-An Yong, Stability analysis of the Biot/squirt models for wave propagation in saturated porous media, Geophysical Journal International 204 (2016), 535–543.
- [44] Juntao Huang & Wen-An Yong & Liu Hong, Generalization of the Kullback-Leibler divergence in the Tsallis statistics, J. Math. Anal. Appl. 436 (2016), 501–512.
- [45] Juntao Huang & Zexi Hu & Wen-An Yong, Second-order curved boundary treatments of the lattice Boltzmann method for convectiondiffusion equations, J. Comput. Phys. 310 (2016), 26–44.
- [46] Michael Herty & Wen-An Yong, Feedback boundary control of linear hyperbolic systems with relaxation, Automatica 69 (2016), 12–17.
- [47] Wen-An Yong & Weifeng Zhao & Li-Shi Luo, Theory of the lattice Boltzmann method: Derivation of macroscopic equations via the Maxwell iteration, Phys. Rev. E 93 (2016), 033310.
- [48] Zexi Hu & Juntao Huang & Wen-An Yong, Lattice Boltzmann method for convection-diffusion equations with general interfacial conditions,Phys. Rev. E 93 (2016), 043320.
- [49] Xiaokai Huo & Wen-An Yong, Structural stability of a 1D compressible viscoelastic fluid model, J. Differ. Equations, 261:2 (2016), 1264–1284.
- [50] Liu Hong & Chen Jia & Yi Zhu & Wen-An Yong, Novel dissipation properties of the master equation, J. Math. Phys. 57 (2016), 103303.
- [51] Vincent Giovangigli & Wen-An Yong, Volume Viscosity and Internal Energy Relaxation: Symmetrization and Chapman-Enskog Expansion, Kinetic and Related Models, 8:1 (2015), 79–116.
- [52] Zaibao Yang & Wen-An Yong, Validity of the Chapman-Enskog expansion for a class of hyperbolic relaxation systems, J. Differ. Equations 258:8 (2015), 2745–2766.
- [53] Yi Zhu & Liu Hong & Zaibao Yang & Wen-An Yong, Conservationdissipation formalism of irreversible thermodynamics, J. Non-Equilib. Thermodyn. 40:2 (2015), 67–74.
- [54] Yeping Li & Wen-An Yong, Quasi-neutral limit in a 3D compressible Navier-Stokes-Poisson-Korteweg model, IMA J. Appl. Math. 80:3(2015), 712–727.
- [55] Juntao Huang & Hao Wu & Wen-An Yong, On initial conditions for the lattice Boltzmann method, Commun. Comput. Phys. 18:2(2015), 450–468.
- [56] Liu Hong & Ya-Jing Huang & Wen-An Yong, A Kinetic Model for Cell Damage Caused by Oligomer Formation, Biophys. J. 109 (2015), 1338–1346.
- [57] Juntao Huang & Wen-An Yong, Boundary conditions of the lattice Boltzmann method for convection-diffusion equations, J. Comput. Phys. 300 (2015), 70–91.
- [58] Liu Hong & Zaibao Yang & Yi Zhu & Wen-An Yong, A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies, J. Non-Equilib. Thermodyn. 40:4 (2015), 247–256.
- [59] Yeping Li & Wen-An Yong, The zero Mach number limit of the three-dimensional compressible viscous magnetohydrodynamic equations, Chinese Ann. Math. B 36(6) (2015), 1043–1054.
- [60] Yajing Huang & Liu Hong & Wen-An Yong, Partial equilibrium approximations in apoptosis. II. The Death-Inducing Signaling Complex Subsystem, Math. Biosci. 270 (2015), 126–134.
- [61] Wen-An Yong, CFL condition, Boltzmann’s H-theorem, Onsager reciprocal relations and beyond, Math. Meth. Appl. Sci. 38:18 (2015), 4479–4486.
- [62] Zaibao Yang, Wen-An Yong, Yi Zhu, A rigorous derivation of multicomponent diffusion laws(2015)
- [63] Juntao Huang & Li Zhang & Wen-An Yong & Moran Wang, On complex boundary conditions of the lattice Boltzmann method for diffusion equations, Appl. Math. Mech. 35:3 (2014), 305–312 (in Chinese).
- [64] Zaibao Yang & Wen-An Yong, Asymptotic analysis of the lattice Boltzmann method for generalized Newtonian fluid flows, Multiscale Model. Simul. 12:3 (2014), 1028–1045.
- [65] Wen-An Yong, Newtonian limit of Maxwell fluid flows, Arch. Rational Mech. Anal. 214:3 (2014), 913–922.
- [66] Liu Hong & Wen-An Yong, Simple moment-closure model for the self-assembling of breakable amyloid filaments, Biophys. J. 104 (2013), 533–540.
- [67] Ya-Jing Huang & Wen-An Yong, Partial equilibrium approximations in apoptosis. I. The intracellular-signaling subsystem, Math. Biosci. 246 (2013), 27–37.
- [68] Ya-Jing Huang & Wen-An Yong, A stable simplification of a Fassignaling pathway model for apoptosis, 2012 IEEE 6th International Conference on Systems Biology (ISB), 125–134.
- [69] Hao Yan & Wen-An Yong, Stability of steady solutions to reactionhyperbolic systems for axonal transport, J. Hyper. Partial Differ. Eqns. 9:2 (2012), 325–337.
- [70] Wen-An Yong, Conservation-dissipation structure of chemical reaction systems, Phys. Rev. E 86, 067101 (2012).
- [71] Wen-An Yong & Li-Shi Luo, Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditions, Phys. Rev. E 86, 065701(R) (2012).
- [72] Jiang Xu & Wen-An Yong, Zero-electron-mass Limit of Hydrodynamic Models for Plasmas, Proc. Roy. Soc. Edinburgh Sect. A 141:2(2011), 431–447.
- [73] Jiang Xu & Wen-An Yong, A note on incompressible limit for compressible Euler equations, Math. Methods Appl. Sci. 34:7 (2011), 831–838.
- [74] Hao Yan & Wen-An Yong, Weak entropy solutions of nonlinear reaction-hyperbolic systems for axonal transport, M3AS (Math. Models and Methods Appl. Sci.) 21:10 (2011), 2135–2154.
- [75] Jiang Xu & Wen-An Yong, On the Relaxation-time Limits in the Bipolar Hydrodynamic Models for Semiconductors, In: Some Problems on Nonlinear Hyperbolic Equations and Applications, T. Li et al. (eds), World Scientific Publishing Company, 2010.
- [76] Shuichi Kawashima & Wen-An Yong, Decay estimates for hyperbolic balance laws, ZAA (Zeitschrift f¨ur Analysis und ihre Anwendungen), 28 (2009), 1–33.
- [77] Jiang Xu & Wen-An Yong, Relaxation-time Limits of Non-isentropic Hydrodynamic Models for Semiconductors, J. Differ. Equations, 247 (2009), 1777–1795.
- [78] Jiang Xu & Wen-An Yong, Zero-relaxation Limit of Non-isentropic Hydrodynamic Models for Semiconductors, DCDS-A (Discrete and Continuous Dynamical Systems), 25:4 (2009), 1319–1332.
- [79] Wen-An Yong, An Onsager-like relation for the lattice Boltzmann method, Computers & Mathematics with Applications, 58 (2009), 862–866.
- [80] Michael Junk & Wen-An Yong, Weighted L2-stability of the lattice Boltzmann method, SIAM J. Numer. Anal., 47:3 (2009), 1651–1665.
- [81] A. Dressel & Wen-An Yong, Traveling-wave solutions for hyperbolic systems of balance laws, In: Hyperbolic problems: theory, numerics, applications, S. Benzoni-Gavage et al. (eds), Springer, Berlin, 2008, 485–492.
- [82] C. Rohde & N. Tiemann & Wen-An Yong, Weak and classical solutions for a model problem in radiation hydrodynamics, In: Hyperbolic problems: theory, numerics, applications, S. Benzoni-Gavage et al. (eds), Springer, Berlin, 2008, 891–899.
- [83] Wen-An Yong, An interesting class of partial differential equations, J. Math. Phys. 49 (2008), 033503.
- [84] Christian Rohde & Wen-An Yong, Dissipative entropy and global smooth solutions for radiation hydrodynamics and magnetohydrodynamics, M3AS (Mathematical Models and Methods in Applied Sciences), 18:12 (2008), 2151–2174.
- [85] Christian Rohde & Wen-An Yong, The nonrelativistic limit in radiation hydrodynamics: I. weak entropy solutions for a model problem, J. Differ. Equations 234 (2007), 91–109.
- [86] Yue-Jun Peng & Ya-Guang Wang & Wen-An Yong, Quasineutral limit of the nonisentropic Euler-Poisson system, Proc. R. Soc. Edinb. A 136A (5) (2006), 1013–1026.
- [87] Alexander Dressel & Wen-An Yong, Existence of traveling wave solutions for hyperbolic systems of balance laws, Arch. Rational Mech. Anal. 182 (2006), 49–75.
- [88] Wen-An Yong & Willi Jager, On hyperbolic relaxation problems, In: Analysis and Numerics for Conservation Laws, G. Warnecke (ed.), Springer, Berlin, 2005, 495–520.
- [89] Wen-An Yong, A note on the zero Mach number limit of compressible Euler equations, Proc. Amer. Math. Soc. 133 (2005), 3079–3085.
- [90] Yann Brenier & Wen-An Yong, Derivation of particle, string, and membrane motions from the Born-Infeld electromagnetism, J. Math. Phys. 46, 062305 (2005).
- [91] Wen-An Yong & Li-Shi Luo, Nonexistence of H theorem for some lattice Boltzmann models, J. Stat. Phys. 121 (2005), 91–103.
- [92] M. K. Banda & W.-A. Yong & A. Klar, A stability notion for lattice Boltzmann equations, SIAM J. Sci. Comput. 27 (2006), 2098–2111.
- [93] Wen-An Yong, Entropy and global existence for hyperbolic balance laws, Arch. Rational Mech. Anal. 172 (2004), 247–266.
- [94] Wen-An Yong, Diffusive relaxation limit of multidimensional isentropic hydrodynamical models for semiconductors, Siam J. Appl. Math. 64 (2004), 1737–1748.
- [95] Shuichi Kawashima & Wen-An Yong, Dissipative structure and entropy for hyperbolic systems of balance laws, Arch. Rational Mech. Anal. 174 (2004), 345–364.
- [96] M. K. Banda & W.-A. Yong & A. Klar, Stability structure for lattice Boltzmann equations: Some computational results, Proc. Appl. Math. Mech. 3 (2003), 72–75.
- [97] Wen-An Yong & Li-Shi Luo, Nonexistence of H theorems for athermal lattice Boltzmann models with polynomial equilibria, Phys. Rev. E 67, 051105 (2003).
- [98] Michael Junk & Wen-An Yong, Rigorous Navier-Stokes limit of the lattice Boltzmann equation, Asymptotic Anal. 35(2) (2003), 165–185.
- [99] Wen-An Yong, Basic structures of hyperbolic relaxation systems, Proc. R. Soc. Edinb. 132A (2002), 1259–1274.
- [100] Iuliu Sorin Pop & Wen-An Yong, A numerical approach to degenerate parabolic equations, Numer. Math. 92 (2002), 357–381.
- [101] Wen-An Yong, Remarks on hyperbolic relaxation systems, In: Hyperbolic problems: theory, numerics, applications, Vols. I & II (Interna. Ser. Numer. Math. Vols. 140, 141 ), H. Freist¨uhler et al. (eds.), Birkh¨auser, Basel, 2001. 921–929.
- [102] Wen-An Yong, Basic aspects of hyperbolic relaxation systems, in Advances in the Theory of Shock Waves, H. Freist¨uhler and A. Szepessy, eds., Progress in Nonlinear Differential Equations and Their Applications, Vol. 47, Birkh¨auser, Boston, 2001, 259–305.
- [103] Corrado Lattanzio & Wen-An Yong, Hyperbolic-parabolic singular limits for first-order nonlinear systems, Commun. in Partial Differ. Equations 26 (5&6) (2001), 939–964.
- [104] Hailiang Liu & Wen-An Yong, Time-asymptotic stability of boundarylayers for a hyperbolic relaxation system, Commun. in Partial Differ. Equations 26 (7&8) (2001), 1323–1343.
- [105] Wen-An Yong & Kevin Zumbrun, Existence of relaxation shock profiles for hyperbolic conseration laws, Siam. J. Appl. Math. 60 (2000), 1565–1575.
- [106] Iuliu Sorin Pop & Wen-An Yong, On the existence and uniqueness of a solution for an elliptic problem, Stud. Univ. Babes-Bolyai Math. 45 (2000), No. 4, 97–107.
- [107] Wen-An Yong, Boundary conditions for hyperbolic systems with stiff source terms, Indiana Univ. Math. J. 48 (1999), 115-137.
- [108] Wen-An Yong, Singular perturbations of first-order hyperbolic systems with stiff source terms, J. Differ. Equations 155 (1999), 89–132.
- [109] Wen-An Yong, A simple approach to Glimm’s interaction estimates, Appl. Math. Lett. 12 (1999), 29-34.
- [110] Wen-An Yong, A difference scheme for a stiff system of conservation laws, Proc. Roy. Soc. Edin. 128A (1998), 1403–1414.
- [111] Wen-An Yong, Error analysis of difference methods for moving boundary problems of hyperbolic systems, Institut Mittag-Leffler (Stockholm), Report No. 6, 1997/98.
- [112] Wen-An Yong, Existence and asymptotic stability of traveling wave solutions of a model system for reacting flow, Nonlinear Analysis: TMA, 26 (1996), 1791–1809
- [113] Wen-An Yong, Numerical analysis of relaxation schemes for scalar conservation laws, IWR Preprint 95–30, Universit¨at Heidelberg, July 1995.
- [114] Wen-An Yong, Singular perturbations of first-order hyperbolic systems, In: Nonlinear hyperbolic problems: theoretical, applied, and computational aspects (Notes Numer. Fluid Mech. Vol. 43), A. Donato et al. (eds.), Vieweg, Braunschweig, 1993, 597–604.
- [115] Wen-An Yong, Explicit dissipative difference schemes for boundary problems of generalized Schr¨odinger systems, Acta Math. Appl. Sin. (English Ser.) 7 (1991), 173–186.
- [116] Wen-An Yong & You-lan Zhu, Convergence of difference methods for nonlinear problems with moving boundaries, Sci. China (Series A) 33 (1990), 537–550.
- [117] You-lan Zhu & Wen-An Yong, On stability and convergence of difference schemes for quasilinear hyperbolic initial-boundary-value problems, Lecture Notes in Mathematics, Vol. 1297, Springer, Berlin, 1987, 210–244.
- [118] Wen-An Yong & You-lan Zhu, Stability of implicit difference schemes with space and time-dependent coefficients, J. Comp. Math. 5 (1987), 281–286.
- [119] Zhang, Ruixi, Yihong Chen, Qian Huang, and Wen-An Yong, Dissipativeness of the hyperbolic quadrature method of moments for kinetic equations, arXiv:2406.13931 (2024)
- [120] Chen, Yihong, Qian Huang, and Wen-An Yong, Discrete-Velocity-Direction Models of BGK-Type with Minimum Entropy: II—Weighted Models, Journal of Scientific Computing, 99(3), 84 (2024)
- [121] Zhou, Yizhou, and Wen-An Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries, submitted to arXiv:2409.01916
- [122] Yang, Haitian, and Wen-An Yong, Feedback boundary control of multi-dimensional hyperbolic systems with relaxation, Automatica(167), 111791
Update Time: 2024-10-22 08:08:17