2001 Preprints

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Preprints submitted in 2001

• 2001-001
  J. D. Towers:
  TVD schemes for two-dimensional scalar conservation laws.
  
  
• 2001-002
  R. J. LeVeque and M. Pelanti:
  A class of approximate Riemann solvers and their relation to relaxation schemes.
  
  
• 2001-003
  K. Hvistendahl Karlsen and M. Ohlberger:
  A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.
  
  
• 2001-004
  E. R. Jakobsen and K. Hvistendahl Karlsen:
  Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations.
  
  
• 2001-005
  S. Jiang and P. Zhang:
  Axisymmetric solutions of the 3-D Navier-Stokes equations for compressible isentropic fluids.
  
  
• 2001-006
  P. Baiti and H. K. Jenssen:
  Blowup in $L^{\infty}$ for a class of genuinely nonlinear hyperbolic systems of conservation laws.
  
  
• 2001-007
  V. Milisic:
  Stability and convergence of discrete kinetic approximations to an initial-boundary value problem for conservation laws.
  
  
• 2001-008
  S. Evje and K. H. Karlsen:
  An error estimate for viscous approximate solutions of degenerate parabolic equations.
  
  
• 2001-009
  M. Küther:
  A priori and a posteriori error estimates for the staggered Lax-Friedrichs scheme in multi-dimensions for scalar nonlinear conservation laws.
  
  
• 2001-010
  G. Puppo:
  Numerical entropy production for central schemes.
  
  
• 2001-011
  Kun Xu:
  A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method.
  
  
• 2001-012
  M. Radyna:
  Functionals with values in the non-Archimedean field of Laurent series and method for numerical calculations of shocks and soliton like solutions of some conservation laws.
  
  
• 2001-013
  K. H. Karlsen, N. H. Risebro, and J. D. Towers:
  On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient.
  
  
• 2001-014
  H.-Z. Tang and T. Tang:
  Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws.
  
  
• 2001-015
  H. Fan and S. Jin:
  Front motion in muti-dimensional conservation laws with stiff source terms driven by mean curvature and variation of front thickness.
  
  
• 2001-016
  Y.-X. Kan, T. Tang, and Z.-H. Teng:
  On the piecewisely smooth solutions to non-homogeneous scalar conservation laws.
  
  
• 2001-017
  L. Gosse:
  Localization effects and measure source terms in numerical schemes for balance laws.
  
  
• 2001-018
  K. Xu:
  A well-balanced gas-kinetic scheme for the shallow water equations with source terms.
  
  
• 2001-019
  R. Bürger, K. H. Karlsen, E. M. Tory, and W. L. Wendland:
  Model equations and instability regions for the sedimentation of polydisperse suspensions of spheres.
  
  
• 2001-020
  Y. G. Rykov:
  On the nonhamilton character of shocks in 2-D pressureless gas.
  
  
• 2001-021
  R. Bürger, K. H. Karlsen, C. Klingenberg, and N. H. Risebro:
  A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units.
  
  
• 2001-022
  K. H. Karlsen, N. H. Risebro, and J. D. Towers:
  Convergence of an upwind difference scheme for degenerate parabolic convection-diffusion equations with a discontinuous coefficient.
  
  
• 2001-023
  J. Wang and G. Warnecke:
  Existence and uniqueness of solutions for a non-uniformly parabolic equation.
  
  
• 2001-024
  J. Huang, J. Wang, and G. Warnecke:
  Error bounds for the large time step Glimm scheme applied to scalar conservation laws.
  
  
• 2001-025
  J. Li and G. Warnecke:
  Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
  
  
• 2001-026
  F. Huang and Z. Wang:
  Well posedness for pressureless flow.
  
  
• 2001-027
  C. Mascia and K. Zumbrun:
  Pointwise Green's function bounds and stability of relaxation shocks.
  
  
• 2001-028
  J. Pan and G. Warnecke:
  Asymptotic stability of traveling waves for viscous conservation laws with dissipation.
  
  
• 2001-029
  E. R. Jakobsen and K. Hvistendahl Karlsen:
  Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations.
  
  
• 2001-030
  N. Andrianov, R. Saurel, and G. Warnecke:
  A simple method for compressible multiphase mixtures and interfaces.
  
  
• 2001-031
  K.-A. Lie and S. Noelle:
  An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions.
  
  
• 2001-032
  K.-A. Lie and S. Noelle:
  On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws.
  
  
• 2001-033
  A. Bressan and G. M. Coclite:
  On the boundary control of systems of conservation laws.
  
  
• 2001-034
  Guy Barles and Espen R. Jakobsen:
  On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations.
  
  
• 2001-035
  R. J. LeVeque:
  Finite volume methods for nonlinear elasticity in heterogeneous media.
  
  
• 2001-036
  R. J. LeVeque:
  Some traffic flow models illustrating interesting hyperbolic behavior.
  
  
• 2001-037
  M. Banda and M. Seaid:
  Higher-order relaxation schemes for hyperbolic systems of conservation laws.
  
  
• 2001-038
  T. Tang, Z.-H. Teng, and Z.-P. Xin:
  Fractional rate of convergence for viscous approximation tononconvex conservation laws.
  
  
• 2001-039
  R. Li, T. Tang, and P.-W. Zhang:
  A moving mesh finite element algorithm for singular problems in two and three space dimensions.
  
  
• 2001-040
  R. Bürger, K. H. Karlsen, N. H. Risebro, and J. D. Towers:
  Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units.
  
  
• 2001-041
  R. Bürger, J. J. R. Damasceno, and K. H. Karlsen:
  A mathematical model for batch and continuous thickening of flocculent suspensions in vessels with varying cross section.
  
  
• 2001-042
  B. N. Azarenok:
  Variational barrier method of adaptive grid generation in hyperbolic problem of gas dynamics.
  
  
• 2001-043
  B. N. Azarenok and S. A. Ivanenko:
  Application of moving adaptive grids for numerical solution of 2-d nonstationary problems in gas dynamics.
  
  
• 2001-044
  Y. C. Zhou, Yun Gu, and G. W. Wei:
  Shock-capturing with natural high frequency oscillations.
  
  
• 2001-045
  L. Gosse:
  A nonconservative numerical approach for hyperbolic systems with source terms: the Well-Balanced schemes.
  
  
• 2001-046
  P. Goatin and L. Gosse:
  Decay of positive waves for $n \times n$ hyperbolic systems of balance laws.
  
  
• 2001-047
  E.Yu.Panov:
  On maximal and minimal generalized entropy solutions to Cauchy problem for a first-order quasilinear equation.
  
  
• 2001-048
  J.-F. Coulombel:
  Weak stability of non uniformly stable multidimensional shocks.
  
  
• 2001-049
  R. Liska and B. Wendroff:
  Comparison of several difference schemes on 1D and 2D test problems for the Euler equations.
  
  
• 2001-050
  S. Bianchini and A. Bressan:
  Vanishing viscosity solutions of nonlinear hyperbolic systems.
  
  
• 2001-051
  H. Liu and E. Tadmor:
  Spectral dynamics of the velocity gradient field in restricted flows.
  
  
• 2001-052
  Y. C. Zhou and G. W. Wei:
  High resolution conjugate filters for the simulation of flows.
  
  
• 2001-053
  T. Grahs and T. Sonar:
  Discrete cell entropy inequalities for scalar conservation laws.
  
  

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