1998 Preprints

Preprints submitted in 1998

• 1998-042 S. Jiang:
  Large-time behavior of solutions to the equations of a one-dimensional viscous polytropic ideal gas in unbounded domains.
• 1998-041 B. Wendroff:
  A two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics.
• 1998-040 R. Balean:
  Granular avalanche flow down a smoothly varying slope: the existence of entropy solutions.
• 1998-039 A. Bressan and P. Goatin:
  Stability of L$^\infty$ solutions of Temple class systems.
• 1998-038 S. Jin, L. Pareschi, and G. Toscani:
  Uniformly accurate diffusive relaxation schemes for multiscale transport equations.
• 1998-037 H. Fan, S. Jin, and Z.-H. Teng:
  Zero reaction limit for hyperbolic conservation laws with source terms.
• 1998-036 D. Amadori and G. Guerra:
  Global BV solutions and relaxation limit for a system of conservation laws.
• 1998-035 R. Liska and B. Wendroff:
  Composite centered schemes for multidimensional conservation laws.
• 1998-034 F. Bouchut:
  Construction of BGK models with a family of kinetic entropies for a given system of conservation laws.
• 1998-033 A. Bressan and M. Lewicka:
  A uniqueness condition for hyperbolic systems of conservation laws.
• 1998-032 A. Bressan:
  On the Cauchy problem for nonlinear hyperbolic systems.
• 1998-031 A. Bressan:
  Hyperbolic systems of conservation laws.
• 1998-030 A. Bressan, T.-P. Liu, and T. Yang:
  L^1 stability estimates for n x n conservation laws.
• 1998-029 A. Bressan and P. G. LeFloch:
  Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws.
• 1998-028 C. Fries:
  Stability of viscous shock waves associated with non-convex modes.
• 1998-027 S. Jin and H. Liu:
  Diffusion limit of a hyperbolic system with relaxation.
• 1998-026 S. Jin, M. Katsoulakis, Z. Xin:
  Relaxation schemes for curvature-dependent front propagation.
• 1998-025 Kun Xu:
  Gas evolution dynamics in Godunov-type schemes.
• 1998-024 M. H. Zhou, M. Mascagni, and A. Y. Qiao:
  Explicit finite difference schemes for the advection equation.
• 1998-023 H. K. Jenssen:
  A note on the spreading of characteristics for nonconvex conservation laws.
• 1998-022 E. Tadmor:
  Approximate solutions of nonlinear conservation laws and related equations.
• 1998-021 C. Lattanzio and P. Marcati:
  The zero relaxation limit for $2\times 2$ hyperbolic systems.
• 1998-020 R. Fazio and R. J. LeVeque::
  Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK.
• 1998-019 R. Holdahl, H. Holden, and K.-A. Lie:
  Unconditionally stable splitting methods for the shallow water equations.
• 1998-018 H. Holden, K.-A. Lie, and N. H. Risebro:
  An unconditionally stable method for the Euler equations.
• 1998-017 S. Evje and K. Hvistendahl Karlsen:
  Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations.
• 1998-016 E. Tadmor and T. Tassa:
  On the homogenization of oscillatory solutions to nonlinear convection-diffusion equations
• 1998-015 C.-T. Lin and E. Tadmor:
  $L^1$-stability and error estimates for approximate Hamilton-Jacobi solutions
• 1998-014 S. Evje and K. Hvistendahl Karlsen:
  Degenerate convection-diffusion equations and implicit monotone difference schemes.
• 1998-013 K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro:
  A front tracking method for conservation laws with boundary conditions.
• 1998-012 W. Shen, A. Tveito, and R. Winther:
  Rate of convergence for the zero relaxation limit.
• 1998-011 S. Evje and K. Hvistendahl Karlsen:
  Monotone difference approximations of BV solutions to degenerate convection-diffusion equations.
• 1998-010 J. Härterich:
  Heteroclinic orbits between rotating waves in hyperbolic balance laws.
• 1998-009 L. Pareschi and G. Naldi:
  Numerical schemes for kinetic equations in diffusive regimes.
• 1998-008 H. K. Jenssen:
  Blowup for systems of conservation laws.
• 1998-007 E. Tadmor and T. Tang:
  Pointwise error estimates for scalar conservation laws with piecewise smooth solutions.
• 1998-006 H. K. Jenssen and C. Sinestrari:
  Blowup asymptotics for scalar conservation laws with a source.
• 1998-005 T. Fogarty and R. J. LeVeque:
  High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium.
• 1998-004 R. J. LeVeque:
  Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propogation algorithm.
• 1998-003 K. Brusdal, H. K. Dahle, K. Hvistendahl Karlsen, and T. Mannseth:
  A study of the modelling error in two operator splitting algorithms for porous media flow.
• 1998-002 K. Hvistendahl Karlsen, K. Brusdal, H. K. Dahle, S. Evje, and K.-A. Lie:
  The corrected operator splitting approach applied to an advection-diffusion problem.
• 1998-001 W.-A. Yong:
  Singular perturbations of first-order hyperbolic systems with stiff source terms