1999 Preprints

Preprints submitted in 1999

• 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.
• 1999-044 S. Takeno:
  Time-periodic solutions for a scalar conservation law.
• 1999-043 W. Bao and S. Jin:
  The random projection method for stiff detonation waves.
• 1999-042 W. Bao and S. Jin:
  Error estimates on the random projection methods for hyperbolic systems with stiff reaction terms.
• 1999-041 W. Bao and S. Jin:
  The random projection method for hyperbolic systems with stiff reaction terms.
• 1999-040 S. Jin and M. Katsoulakis:
  Hyperbolic systems with supercharacteristic relaxations and roll waves.
• 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.
• 1999-038 J. Härterich:
  Viscous profiles for traveling waves of scalar balance laws: The canard case.
• 1999-037 S. Bianchini:
  On a Glimm type functional for a special Jin-Xin relaxation model.
• 1999-036 T. Tang and Z.-H. Teng:
  On the regularity of approximate solutions to conservation laws with piecewise smooth solutions.
• 1999-035 E. Tadmor and T. Tang:
  Pointwise error estimates for relaxation approximations to conservation laws.
• 1999-034 A. Bressan and W. Shen:
  BV estimates for multicomponent chromatography with relaxation.
• 1999-033 S. Jiang and P. Zhang:
  Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas.
• 1999-032 H. Holden, K. H. Karlsen, and K.-A. Lie:
  Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates.
• 1999-031 K. Xu and Z. Li:
  Gas evolution dynamics and numerical dissipation in shock capturing schemes.
• 1999-030 S. Bianchini and A. Bressan:
  On a Lyapunov functional relating shortening curves and viscous conservation laws.
• 1999-029 C. Mascia:
  First order singular perturbations of quasilinear nonconvex type.
• 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.
• 1999-027 C. Mascia and A. Terracina:
  Large time behavior for conservation laws with source in a bounded domain.
• 1999-026 G. Chen and M. Rascle:
  Initial layers and uniqueness of weak entropy conservation laws.
• 1999-025 P. Hoch and M. Rascle:
  Hamilton-Jacobi equation on a manifold, and applications to mesh generation or refinement.
• 1999-024 J. Towers:
  Convergence of a difference scheme for conservation laws with a discontinuous flux.
• 1999-023 K.-K. Fjelde and K. Hvistendahl Karlsen:
  High-resolution hybrid primitive-conservative upwind schemes for the drift flux model.
• 1999-022 R. Bürger, S. Evje, and K. Hvistendahl Karlsen:
  On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes.
• 1999-021 A. N. Chinnayya and A.-Y. Le Roux:
  A New general Riemann solver for the shallow water equations, with friction and topography.
• 1999-020 A. Rezgui:
  An analysis of accuracy and convergence of finite volume methods.
• 1999-019 R. Balean:
  Granular avalanche flow down a smoothly varying slope: the existence of entropy solutions.
• 1999-018 H.L. Liu and G. Warnecke:
  Convergence rates for relaxation schemes approximating conservation laws.
• 1999-017 V. Haugse, K. H. Karlsen, K.-A. Lie, and J. R. Natvig:
  Numerical solution of the polymer system by front tracking.
• 1999-016 Withdrawn by the author.
• 1999-015 K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro:
  A fast level set method for reservoir simulation.
• 1999-014 H. Frid:
  Periodic solutions of conservation laws constructed through Glimm scheme.
• 1999-013 F. Ancona and A. Marson:
  A note on the Riemann problem for general nxn conservation laws.
• 1999-012 F. Ancona and A. Marson:
  Well-posedness for general 2x2 systems of conservation laws.
• 1999-011 A. Kurganov and E. Tadmor:
  New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• 1999-010 S. Junca and M. Rascle:
  Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations
• 1999-009 Ph. Hoch and M. Rascle:
  A numerical study of a pathological example of p-system.
• 1999-008 A. Aw and M. Rascle:
  Resurrection of "second order" models of car traffic ?
• 1999-007 C. Klingenberg and N. H. Risebro::
  Stability of a resonant system of conservation laws modeling polymer flow with gravitation
• 1999-006 R. Bürger, S. Evje, K. Hvistendahl Karlsen, and K.-A. Lie:
  Numerical methods for the simulation of the settling of flocculated suspensions
• 1999-005 R. Bürger, F. Concha, K. K. Fjelde, and K. Hvistendahl Karlsen:
  Numerical simulation of the settling of polydisperse suspensions of spheres
• 1999-004 S. Bianchini and A. Bressan:
  Vanishing viscosity solutions of hyperbolic systems on manifolds
• 1999-003 H. Holden, K. Hvistendahl Karlsen, and N. H. Risebro:
  Operator splitting methods for generalized Korteweg-de Vries equations
• 1999-002 S. H. Lui and K. Xu:
  Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations.
• 1999-001 M. S. Espedal and K. Hvistendahl Karlsen:
  Numerical solution of reservoir flow models based on large time step operator splitting algorithms.