## Preprints submitted in 1999

- 1999-045
:

A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws. - 1999-044
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Time-periodic solutions for a scalar conservation law. - 1999-043
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The random projection method for stiff detonation waves. - 1999-042
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Error estimates on the random projection methods for hyperbolic systems with stiff reaction terms. - 1999-041
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The random projection method for hyperbolic systems with stiff reaction terms. - 1999-040
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Hyperbolic systems with supercharacteristic relaxations and roll waves. - 1999-039
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Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. - 1999-038
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Viscous profiles for traveling waves of scalar balance laws: The canard case. - 1999-037
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On a Glimm type functional for a special Jin-Xin relaxation model. - 1999-036
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On the regularity of approximate solutions to conservation laws with piecewise smooth solutions. - 1999-035
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Pointwise error estimates for relaxation approximations to conservation laws. - 1999-034
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BV estimates for multicomponent chromatography with relaxation. - 1999-033
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Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas. - 1999-032
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Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. - 1999-031
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Gas evolution dynamics and numerical dissipation in shock capturing schemes. - 1999-030
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On a Lyapunov functional relating shortening curves and viscous conservation laws. - 1999-029
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First order singular perturbations of quasilinear nonconvex type. - 1999-028
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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
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Large time behavior for conservation laws with source in a bounded domain. - 1999-026
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Initial layers and uniqueness of weak entropy conservation laws. - 1999-025
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Hamilton-Jacobi equation on a manifold, and applications to mesh generation or refinement. - 1999-024
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Convergence of a difference scheme for conservation laws with a discontinuous flux. - 1999-023
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High-resolution hybrid primitive-conservative upwind schemes for the drift flux model. - 1999-022
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On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes. - 1999-021
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A New general Riemann solver for the shallow water equations, with friction and topography. - 1999-020
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An analysis of accuracy and convergence of finite volume methods. - 1999-019
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Granular avalanche flow down a smoothly varying slope: the existence of entropy solutions. - 1999-018
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Convergence rates for relaxation schemes approximating conservation laws. - 1999-017
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Numerical solution of the polymer system by front tracking. - 1999-016 Withdrawn by the author.
- 1999-015
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A fast level set method for reservoir simulation. - 1999-014
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Periodic solutions of conservation laws constructed through Glimm scheme. - 1999-013
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A note on the Riemann problem for general nxn conservation laws. - 1999-012
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Well-posedness for general 2x2 systems of conservation laws. - 1999-011
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New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations - 1999-010
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Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations - 1999-009
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A numerical study of a pathological example of p-system. - 1999-008
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Resurrection of "second order" models of car traffic ? - 1999-007
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Stability of a resonant system of conservation laws modeling polymer flow with gravitation - 1999-006
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Numerical methods for the simulation of the settling of flocculated suspensions - 1999-005
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Numerical simulation of the settling of polydisperse suspensions of spheres - 1999-004
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Vanishing viscosity solutions of hyperbolic systems on manifolds - 1999-003
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Operator splitting methods for generalized Korteweg-de Vries equations - 1999-002
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Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. - 1999-001
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Numerical solution of reservoir flow models based on large time step operator splitting algorithms.