1999 Preprints

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Preprints submitted in 1999

• 1999-001
  M. S. Espedal and K. Hvistendahl Karlsen:
  Numerical solution of reservoir flow models based on large time step operator splitting algorithms.
  
  
• 1999-002
  S. H. Lui and K. Xu:
  Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations.
  
  
• 1999-003
  H. Holden, K. Hvistendahl Karlsen, and N. H. Risebro:
  Operator splitting methods for generalized Korteweg-de Vries equations
  
  
• 1999-004
  S. Bianchini and A. Bressan:
  Vanishing viscosity solutions of hyperbolic systems on manifolds
  
  
• 1999-005
  R. Bürger, F. Concha, K. K. Fjelde, and K. Hvistendahl Karlsen:
  Numerical simulation of the settling of polydisperse suspensions of spheres
  
  
• 1999-006
  R. Bürger, S. Evje, K. Hvistendahl Karlsen, and K.-A. Lie:
  Numerical methods for the simulation of the settling of flocculated suspensions
  
  
• 1999-007
  C. Klingenberg and N. H. Risebro::
  Stability of a resonant system of conservation laws modeling polymer flow with gravitation
  
  
• 1999-008
  A. Aw and M. Rascle:
  Resurrection of "second order" models of car traffic ?
  
  
• 1999-009
  Ph. Hoch and M. Rascle:
  A numerical study of a pathological example of p-system.
  
  
• 1999-010
  S. Junca and M. Rascle:
  Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations.
  
  
• 1999-011
  A. Kurganov and E. Tadmor:
  New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations.
  
  
• 1999-012
  F. Ancona and A. Marson:
  Well-posedness for general 2x2 systems of conservation laws.
  
  
• 1999-013
  F. Ancona and A. Marson:
  A note on the Riemann problem for general nxn conservation laws.
  
  
• 1999-014
  H. Frid:
  Periodic solutions of conservation laws constructed through Glimm scheme.
  
  
• 1999-015
  K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro:
  A fast level set method for reservoir simulation.
  
  
• 1999-016
  Withdrawn by the author.
  
  
• 1999-017
  V. Haugse, K. H. Karlsen, K.-A. Lie, and J. R. Natvig:
  Numerical solution of the polymer system by front tracking.
  
  
• 1999-018
  H.L. Liu and G. Warnecke:
  Convergence rates for relaxation schemes approximating conservation laws.
  
  
• 1999-019
  R. Balean:
  Granular avalanche flow down a smoothly varying slope: the existence of entropy solutions.
  
  
• 1999-020
  A. Rezgui:
  An analysis of accuracy and convergence of finite volume methods.
  
  
• 1999-021
  A. N. Chinnayya and A.-Y. Le Roux:
  A New general Riemann solver for the shallow water equations, with friction and topography.
  
  
• 1999-022
  R. Bürger, S. Evje, and K. Hvistendahl Karlsen:
  On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes.
  
  
• 1999-023
  K.-K. Fjelde and K. Hvistendahl Karlsen:
  High-resolution hybrid primitive-conservative upwind schemes for the drift flux model.
  
  
• 1999-024
  J. Towers:
  Convergence of a difference scheme for conservation laws with a discontinuous flux.
  
  
• 1999-025
  P. Hoch and M. Rascle:
  Hamilton-Jacobi equation on a manifold, and applications to mesh generation or refinement.
  
  
• 1999-026
  G. Chen and M. Rascle:
  Initial layers and uniqueness of weak entropy conservation laws.
  
  
• 1999-027
  C. Mascia and A. Terracina:
  Large time behavior for conservation laws with source in a bounded domain.
  
  
• 1999-028
  S. Noelle:
  The MoT-ICE: a new high-resolution wave-propagation algorithm for multi-dimensional systems of conservation laws based on Fey's Method of Transport.
  
  
• 1999-029
  C. Mascia:
  First order singular perturbations of quasilinear nonconvex type.
  
  
• 1999-030
  S. Bianchini and A. Bressan:
  On a Lyapunov functional relating shortening curves and viscous conservation laws.
  
  
• 1999-031
  K. Xu and Z. Li:
  Gas evolution dynamics and numerical dissipation in shock capturing schemes.
  
  
• 1999-032
  H. Holden, K. H. Karlsen, and K.-A. Lie:
  Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates.
  
  
• 1999-033
  S. Jiang and P. Zhang:
  Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas.
  
  
• 1999-034
  A. Bressan and W. Shen:
  BV estimates for multicomponent chromatography with relaxation.
  
  
• 1999-035
  E. Tadmor and T. Tang:
  Pointwise error estimates for relaxation approximations to conservation laws.
  
  
• 1999-036
  T. Tang and Z.-H. Teng:
  On the regularity of approximate solutions to conservation laws with piecewise smooth solutions.
  
  
• 1999-037
  S. Bianchini:
  On a Glimm type functional for a special Jin-Xin relaxation model.
  
  
• 1999-038
  J. Härterich:
  Viscous profiles for traveling waves of scalar balance laws: The canard case.
  
  
• 1999-039
  H. Holden, K. H. Karlsen, and K.-A. Lie:
  Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation.
  
  
• 1999-040
  S. Jin and M. Katsoulakis:
  Hyperbolic systems with supercharacteristic relaxations and roll waves.
  
  
• 1999-041
  W. Bao and S. Jin:
  The random projection method for hyperbolic systems with stiff reaction terms.
  
  
• 1999-042
  W. Bao and S. Jin:
  Error estimates on the random projection methods for hyperbolic systems with stiff reaction terms.
  
  
• 1999-043
  W. Bao and S. Jin:
  The random projection method for stiff detonation waves.
  
  
• 1999-044
  S. Takeno:
  Time-periodic solutions for a scalar conservation law.
  
  
• 1999-045
  K. H. Karlsen and N. H. Risebro:
  A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws.
  
  

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