## Preprints submitted in 2000

- 2000-050
:

Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws. - 2000-049
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High resolution nonoscillatory central difference schemes for the 2D Euler equations via artificial compression. - 2000-048
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Uniqueness and stability of $l^\infty$ solutions for Temple class systems with boundary and properties of the attainable sets. - 2000-047
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Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations. - 2000-046
:

Diffusive kinetic explicit schemes for nonlinear degenerate parabolic systems. - 2000-045
:

Convergence of singular limits for multi-d semilinear hyperbolic systems to parabolic systems. - 2000-044
:

A BGK approximation to nonlinear parabolic initial-boundary value problems. - 2000-043
:

Global existence of weak solution for a nonstrictly hyperbolic system of conservation laws. - 2000-042
:

Entropy satisfying flux vector splittings and kinetic BGK models. - 2000-041
:

Phenomenological model of filtration processes: 1. Cake formation and expression. - 2000-040
:

Finite-difference quasi-P traveltimes for anisotropic media. - 2000-039
:

An adaptive finite-difference method for traveltimes and amplitudes. - 2000-038
:

A case study in vanishing viscosity. - 2000-037
:

Solution of two-dimensional Riemann problems for gas dynamics. - 2000-036
:

On the stability of the standard Riemann semigroup. - 2000-035
:

Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. - 2000-034
:

Convergence results for an inhomogeneous system arising in various high frequency approximations. - 2000-033
:

A wave front tracking algorithm for NxN non genuinely nonlinear conservation laws. - 2000-032
:

Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems. - 2000-031
:

Numerical solution of reservoir flow models based on large time step operator splitting algorithms. - 2000-030
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A difference scheme for conservation laws with a discontinuous flux - the nonconvex case. - 2000-029
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Generation of new solvers involving the source term for a class of non homogeneous hyperbolic systems. - 2000-028
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On the convergence rate of operator splitting for weakly coupled systems of Hamilton-Jacobi equations. - 2000-027
:

Error estimates for approximate solutions for nonlinear scalar conservation laws. - 2000-026
:

Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. - 2000-025
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Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. - 2000-024
:

On the spreading of characteristics for nonconvex conservation laws. - 2000-023
:

A strongly degenerate convection-diffusion problem modeling centrifugation of flocculated suspensions. - 2000-022
:

A continuous dependence result for nonlinear degenerate parabolic equations with spatially dependent flux function. - 2000-021
:

Remarks on high-resolution non-oscillatory central schemes for multi-dimensional systems of conservation laws. Part I: An improved quadrature rule for the flux-computation. - 2000-020
:

On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations. - 2000-019
:

Asymptotic behavior of solutions of the hydrodynamic model of semiconductors. - 2000-018
:

Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping. - 2000-017
:

Unconditionally stable methods for Hamilton-Jacobi equations. - 2000-016
:

A difference scheme for conservation laws with a discontinuous flux - the nonconvex case. - 2000-015
:

On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. - 2000-014
:

The Riemann problem for an elastic string with a linear Hooke's law. - 2000-013
:

Numerical experiments with point value multiresolution for 2D compressible flows. - 2000-012
:

Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data. - 2000-011
:

An explanation for the sonic point glitch. - 2000-010
:

On some upwind difference schemes for the phenomenological sedimentation-consolidation model. - 2000-009
:

On the convergence of Godunov scheme for nonlinear hyperbolic systems. - 2000-008
:

Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations. - 2000-007
:

On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. - 2000-006
:

Approximate Riemann solvers, Godunov schemes, and contact discontinuities. - 2000-005
:

Diffusive BGK approximations for nonlinear multidimensional parabolic equations. - 2000-004
:

Discrete kinetic models for dynamical phase transitions. - 2000-003
:

Long-time diffusive behavior of solutions to a hyperbolic relaxation system. - 2000-002
:

Convergence of a relaxation approximation to a boundary value problem for conservation laws. - 2000-001
:

Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies.