1998 Preprints

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Preprints submitted in 1998

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

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