## Preprints submitted in 2001

- 2001-053
:

Discrete cell entropy inequalities for scalar conservation laws. - 2001-052
:

High resolution conjugate filters for the simulation of flows. - 2001-051
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Spectral dynamics of the velocity gradient field in restricted flows. - 2001-050
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Vanishing viscosity solutions of nonlinear hyperbolic systems. - 2001-049
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Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. - 2001-048
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Weak stability of non uniformly stable multidimensional shocks. - 2001-047
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On maximal and minimal generalized entropy solutions to Cauchy problem for a first-order quasilinear equation. - 2001-046
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Decay of positive waves for $n \times n$ hyperbolic systems of balance laws. - 2001-045
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A nonconservative numerical approach for hyperbolic systems with source terms: the Well-Balanced schemes. - 2001-044
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Shock-capturing with natural high frequency oscillations. - 2001-043
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Application of moving adaptive grids for numerical solution of 2-d nonstationary problems in gas dynamics. - 2001-042
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Variational barrier method of adaptive grid generation in hyperbolic problem of gas dynamics. - 2001-041
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A mathematical model for batch and continuous thickening of flocculent suspensions in vessels with varying cross section. - 2001-040
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Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units. - 2001-039
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A moving mesh finite element algorithm for singular problems in two and three space dimensions. - 2001-038
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Fractional rate of convergence for viscous approximation tononconvex conservation laws. - 2001-037
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Higher-order relaxation schemes for hyperbolic systems of conservation laws. - 2001-036
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Some traffic flow models illustrating interesting hyperbolic behavior. - 2001-035
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Finite volume methods for nonlinear elasticity in heterogeneous media. - 2001-034
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On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. - 2001-033
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On the boundary control of systems of conservation laws. - 2001-032
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On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws. - 2001-031
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An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions. - 2001-030
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A simple method for compressible multiphase mixtures and interfaces. - 2001-029
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Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations. - 2001-028
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Asymptotic stability of traveling waves for viscous conservation laws with dissipation. - 2001-027
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Pointwise Green's function bounds and stability of relaxation shocks. - 2001-026
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Well posedness for pressureless flow. - 2001-025
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Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. - 2001-024
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Error bounds for the large time step Glimm scheme applied to scalar conservation laws. - 2001-023
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Existence and uniqueness of solutions for a non-uniformly parabolic equation. - 2001-022
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Convergence of an upwind difference scheme for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. - 2001-021
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A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. - 2001-020
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On the nonhamilton character of shocks in 2-D pressureless gas. - 2001-019
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Model equations and instability regions for the sedimentation of polydisperse suspensions of spheres. - 2001-018
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A well-balanced gas-kinetic scheme for the shallow water equations with source terms. - 2001-017
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Localization effects and measure source terms in numerical schemes for balance laws. - 2001-016
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On the piecewisely smooth solutions to non-homogeneous scalar conservation laws. - 2001-015
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Front motion in muti-dimensional conservation laws with stiff source terms driven by mean curvature and variation of front thickness. - 2001-014
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Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws. - 2001-013
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On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. - 2001-012
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Functionals with values in the non-Archimedean field of Laurent series and method for numerical calculations of shocks and soliton like solutions of some conservation laws. - 2001-011
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A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method. - 2001-010
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Numerical entropy production for central schemes. - 2001-009
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A priori and a posteriori error estimates for the staggered Lax-Friedrichs scheme in multi-dimensions for scalar nonlinear conservation laws. - 2001-008
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An error estimate for viscous approximate solutions of degenerate parabolic equations. - 2001-007
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Stability and convergence of discrete kinetic approximations to an initial-boundary value problem for conservation laws. - 2001-006
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Blowup in $L^{\infty}$ for a class of genuinely nonlinear hyperbolic systems of conservation laws. - 2001-005
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Axisymmetric solutions of the 3-D Navier-Stokes equations for compressible isentropic fluids. - 2001-004
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Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations. - 2001-003
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A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations. - 2001-002
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A class of approximate Riemann solvers and their relation to relaxation schemes. - 2001-001
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TVD schemes for two-dimensional scalar conservation laws.