2000 Preprints

Preprints submitted in 2000

• 2000-050 D. Amadori, L. Gosse, and G. Guerra:
  Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws.
• 2000-049 K.-A. Lie and S. Noelle:
  High resolution nonoscillatory central difference schemes for the 2D Euler equations via artificial compression.
• 2000-048 F. Ancona and P. Goatin:
  Uniqueness and stability of $l^\infty$ solutions for Temple class systems with boundary and properties of the attainable sets.
• 2000-047 C. Mascia, A. Porretta, and A. Terracina:
  Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations.
• 2000-046 D. Aregba-Driollet, R. Natalini, and S.Q. Tang:
  Diffusive kinetic explicit schemes for nonlinear degenerate parabolic systems.
• 2000-045 D. Donatelli and P. Marcati:
  Convergence of singular limits for multi-d semilinear hyperbolic systems to parabolic systems.
• 2000-044 F. Guarguaglini and A. Terracina:
  A BGK approximation to nonlinear parabolic initial-boundary value problems.
• 2000-043 F. Huang:
  Global existence of weak solution for a nonstrictly hyperbolic system of conservation laws.
• 2000-042 F. Bouchut:
  Entropy satisfying flux vector splittings and kinetic BGK models.
• 2000-041 R. Bürger, F. Concha, and K. H. Karlsen:
  Phenomenological model of filtration processes: 1. Cake formation and expression.
• 2000-040 J. Qian and W. W. Symes:
  Finite-difference quasi-P traveltimes for anisotropic media.
• 2000-039 J. Qian and W. W. Symes:
  An adaptive finite-difference method for traveltimes and amplitudes.
• 2000-038 S. Bianchini and A. Bressan:
  A case study in vanishing viscosity.
• 2000-037 A. Kurganov and E. Tadmor:
  Solution of two-dimensional Riemann problems for gas dynamics.
• 2000-036 S. Bianchini and R. M. Colombo:
  On the stability of the standard Riemann semigroup.
• 2000-035 K. H. Karlsen and N. H. Risebro:
  Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients.
• 2000-034 L. Gosse and F. James:
  Convergence results for an inhomogeneous system arising in various high frequency approximations.
• 2000-033 F. Ancona and A. Marson:
  A wave front tracking algorithm for NxN non genuinely nonlinear conservation laws.
• 2000-032 C. Lattanzio and R. Natalini:
  Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems.
• 2000-031 M. S. Espedal and K. Hvistendahl Karlsen:
  Numerical solution of reservoir flow models based on large time step operator splitting algorithms.
• 2000-030 John D. Towers:
  A difference scheme for conservation laws with a discontinuous flux - the nonconvex case.
• 2000-029 G. Godinaud, A.-Y. Le Roux, and M.-N. Le Roux:
  Generation of new solvers involving the source term for a class of non homogeneous hyperbolic systems.
• 2000-028 E. R. Jakobsen, K. H. Karlsen, and N. H. Risebro:
  On the convergence rate of operator splitting for weakly coupled systems of Hamilton-Jacobi equations.
• 2000-027 T. Tang:
  Error estimates for approximate solutions for nonlinear scalar conservation laws.
• 2000-026 F. Berthelin and F. Bouchut:
  Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics.
• 2000-025 F. Berthelin and F. Bouchut:
  Solution with finite energy to a BGK system relaxing to isentropic gas dynamics.
• 2000-024 H. K. Jenssen and C. Sinestrari:
  On the spreading of characteristics for nonconvex conservation laws.
• 2000-023 R. Bürger and K. Hvistendahl Karlsen:
  A strongly degenerate convection-diffusion problem modeling centrifugation of flocculated suspensions.
• 2000-022 S. Evje, K. Hvistendahl Karlsen, and N. H. Risebro:
  A continuous dependence result for nonlinear degenerate parabolic equations with spatially dependent flux function.
• 2000-021 K.-A. Lie and S. Noelle:
  Remarks on high-resolution non-oscillatory central schemes for multi-dimensional systems of conservation laws. Part I: An improved quadrature rule for the flux-computation.
• 2000-020 S. Jiang and P. Zhang:
  On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations.
• 2000-019 H. Li, P. Markowich, and M. Mei:
  Asymptotic behavior of solutions of the hydrodynamic model of semiconductors.
• 2000-018 P. Marcati, M. Mei, and B. Rubino:
  Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping.
• 2000-017 K. Hvistendahl Karlsen and N.H. Risebro:
  Unconditionally stable methods for Hamilton-Jacobi equations.
• 2000-016 John D. Towers:
  A difference scheme for conservation laws with a discontinuous flux - the nonconvex case.
• 2000-015 K. Hvistendahl Karlsen and N.H. Risebro:
  On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients.
• 2000-014 H. Hanche-Olsen, H. Holden, and N.H. Risebro:
  The Riemann problem for an elastic string with a linear Hooke's law.
• 2000-013 G. Chiavassa and R. Donat:
  Numerical experiments with point value multiresolution for 2D compressible flows.
• 2000-012 De-xing Kong:
  Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data.
• 2000-011 K. Xu and H.-Z. Tang:
  An explanation for the sonic point glitch.
• 2000-010 R. Bürger and K. Hvistendahl Karlsen:
  On some upwind difference schemes for the phenomenological sedimentation-consolidation model.
• 2000-009 A. Bressan and H. K. Jenssen:
  On the convergence of Godunov scheme for nonlinear hyperbolic systems.
• 2000-008 R. Bürger, K.-K. Fjelde, K. Höfler, and K. Hvistendahl Karlsen:
  Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations.
• 2000-007 E. R. Jakobsen, K. H. Karlsen, and N. H. Risebro:
  On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms.
• 2000-006 B. Wendroff:
  Approximate Riemann solvers, Godunov schemes, and contact discontinuities.
• 2000-005 F. Bouchut, F.R. Guarguaglini, and R. Natalini:
  Diffusive BGK approximations for nonlinear multidimensional parabolic equations.
• 2000-004 R. Natalini and S. Tang:
  Discrete kinetic models for dynamical phase transitions.
• 2000-003 H. Liu and R. Natalini:
  Long-time diffusive behavior of solutions to a hyperbolic relaxation system.
• 2000-002 R. Natalini and A. Terracina:
  Convergence of a relaxation approximation to a boundary value problem for conservation laws.
• 2000-001 K. H. Karlsen, K.-A. Lie, J. R. Natvig, H. F. Nordhaug, and H. K. Dahle:
  Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies.