## Preprints submitted in 1998

- 1998-042
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Large-time behavior of solutions to the equations of a one-dimensional viscous polytropic ideal gas in unbounded domains. - 1998-041
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A two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics. - 1998-040
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Granular avalanche flow down a smoothly varying slope: the existence of entropy solutions. - 1998-039
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Stability of L$^\infty$ solutions of Temple class systems. - 1998-038
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Uniformly accurate diffusive relaxation schemes for multiscale transport equations. - 1998-037
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Zero reaction limit for hyperbolic conservation laws with source terms. - 1998-036
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Global BV solutions and relaxation limit for a system of conservation laws. - 1998-035
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Composite centered schemes for multidimensional conservation laws. - 1998-034
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Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. - 1998-033
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A uniqueness condition for hyperbolic systems of conservation laws. - 1998-032
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On the Cauchy problem for nonlinear hyperbolic systems. - 1998-031
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Hyperbolic systems of conservation laws. - 1998-030
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L^1 stability estimates for n x n conservation laws. - 1998-029
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Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws. - 1998-028
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Stability of viscous shock waves associated with non-convex modes. - 1998-027
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Diffusion limit of a hyperbolic system with relaxation. - 1998-026
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Relaxation schemes for curvature-dependent front propagation. - 1998-025
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Gas evolution dynamics in Godunov-type schemes. - 1998-024
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Explicit finite difference schemes for the advection equation. - 1998-023
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A note on the spreading of characteristics for nonconvex conservation laws. - 1998-022
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Approximate solutions of nonlinear conservation laws and related equations. - 1998-021
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The zero relaxation limit for $2\times 2$ hyperbolic systems. - 1998-020
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Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. - 1998-019
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Unconditionally stable splitting methods for the shallow water equations. - 1998-018
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An unconditionally stable method for the Euler equations. - 1998-017
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Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations. - 1998-016
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On the homogenization of oscillatory solutions to nonlinear convection-diffusion equations - 1998-015
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$L^1$-stability and error estimates for approximate Hamilton-Jacobi solutions - 1998-014
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Degenerate convection-diffusion equations and implicit monotone difference schemes. - 1998-013
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A front tracking method for conservation laws with boundary conditions. - 1998-012
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Rate of convergence for the zero relaxation limit. - 1998-011
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Monotone difference approximations of BV solutions to degenerate convection-diffusion equations. - 1998-010
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Heteroclinic orbits between rotating waves in hyperbolic balance laws. - 1998-009
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Numerical schemes for kinetic equations in diffusive regimes. - 1998-008
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Blowup for systems of conservation laws. - 1998-007
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Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. - 1998-006
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Blowup asymptotics for scalar conservation laws with a source. - 1998-005
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High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. - 1998-004
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Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propogation algorithm. - 1998-003
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A study of the modelling error in two operator splitting algorithms for porous media flow. - 1998-002
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The corrected operator splitting approach applied to an advection-diffusion problem. - 1998-001
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Singular perturbations of first-order hyperbolic systems with stiff source terms