1997 Preprints

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Preprints submitted in 1997

• 1997-001
  K. Xu and J. Hu:
  Projection dynamics in Godunov-type schemes I: to the physical understanding of post-shock Oscillations
  
  
• 1997-002
  A. Bressan, G. Crasta, and B. Piccoli:
  Well-posedness of the Cauchy problem for nxn systems of conservation laws
  
  
• 1997-003
  J.O. Langseth and R.J. LeVeque:
  A wave propagation method for three-dimensional hyperbolic conservation laws
  
  
• 1997-004
  C. Lattanzio and P. Marcati:
  The zero relaxation limit for the hydrodynamic Whitham traffic flow model
  
  
• 1997-005
  C. Mascia:
  Qualitative behavior of conservation laws with reaction term and nonconvex flux
  
  
• 1997-006
  A. Bressan and W. Shen:
  Uniqueness for discontinuous O.D.E. and conservation laws
  
  
• 1997-007
  W. Shen, A. Tveito, and R. Winther:
  On the zero relaxation limit for a system modeling the motions of a viscoelastic solid
  
  
• 1997-008
  W.-A. Yong:
  A Difference scheme for a stiff system of conservation laws
  
  
• 1997-009
  H.J. Schroll and A. Tveito:
  Local existence and stability for a hyperbolic--elliptic system modeling two--phase reservoir Flow
  
  
• 1997-010
  K. Hvistendahl Karlsen and N.H. Risebro:
  Corrected operator splitting for nonlinear parabolic equations
  
  
• 1997-011
  K. Hvistendahl Karlsen, K.-A. Lie, N.H. Risebro, and J. Frøyen:
  A front tracking approach to a two-phase fluid flow model with capillary forces
  
  
• 1997-012
  X.-D. Liu and E. Tadmor:
  Third order nonoscillatory central scheme for hyperbolic conservation laws
  
  
• 1997-013
  G.-S. Jiang and E. Tadmor:
  Non-oscillatory central schemes for multidimensional hyperbolic conservation laws
  
  
• 1997-014
  P. Marcati and B. Rubino:
  Hyperbolic to parabolic relaxation theory for quasilinear first order systems
  
  
• 1997-015
  S. Evje and K. Hvistendahl Karlsen:
  A note on viscous splitting of degenerate convection-diffusion equations
  
  
• 1997-016
  K. Hvistendahl Karlsen and K.-A. Lie:
  An unconditionally stable splitting scheme for a class nonlinear parabolic equations
  
  
• 1997-017
  J. P. Vila and P. Villedieu:
  Convergence of explicit finite volume schemes for Friedrichs Systems
  
  
• 1997-018
  R. Liska and B. Wendroff:
  Composite schemes for conservation laws
  
  
• 1997-019
  L. F. Henderson and R. Menikoff:
  Triple shock entropy theorem and its consequences
  
  
• 1997-020
  S. Jin and M. Katsoulakis:
  Relaxation approximations to front propagation
  
  
• 1997-021
  S. Jin, L. Pareschi, and G. Toscani:
  Diffusive relaxation schemes for discrete-velocity kinetic equations
  
  
• 1997-022
  W.-A. Yong:
  A simple approach to Glimm's interaction estimates
  
  
• 1997-023
  W.-C. Lien:
  Hyperbolic conservation laws with a moving source
  
  
• 1997-024
  F. Ancona and A. Marson:
  On the attainable set for scalar non-linear conservation laws with boundary control
  
  
• 1997-025
  F. Ancona and A. Marson:
  Scalar non-linear conservation laws with integrable boundary data
  
  
• 1997-026
  S. Jin and Z. Xin:
  Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and a relaxation scheme
  
  
• 1997-027
  D. Amadori, B. Baiti, P. G. LeFloch, and B. Piccoli:
  Nonclassical shocks and the Cauchy problem for nonconvex conservation laws
  
  
• 1997-028
  S. Evje and K. Hvistendahl Karlsen:
  Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations
  
  
• 1997-029
  S. Evje, K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro:
  Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations
  
  
• 1997-030
  K.-A. Lie:
  Front tracking for one-dimensional nonlinear advection equations with variable coefficients
  
  
• 1997-031
  K.-A. Lie:
  A dimensional splitting method for nonlinear equations with variable coefficients
  
  
• 1997-032
  J. Lorenz and H. J. Schroll:
  Stiff well-posedness and asymptotic expansions for hyperbolic systems with relaxation
  
  
• 1997-033
  M. J. Berger and R. J. LeVeque:
  Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems
  
  
• 1997-034
  R. Liska and B. Wendroff:
  2D shallow water equations by composite schemes
  
  
• 1997-035
  A. Bressan and P. Goatin:
  Oleinik type estimates and uniqueness for n x n conservation laws
  
  
• 1997-036
  R. M. Colombo and N. H. Risebro:
  Continuous dependence in the large for some equations of gas dynamics
  
  
• 1997-037
  R. A. Klausen and N. H. Risebro:
  Stability of conservation laws with discontinuous coefficients
  
  

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