Preprints submitted in 2001
- 2001-053
T. Grahs and T. Sonar:
Discrete cell entropy inequalities
for scalar conservation laws.
- 2001-052
Y. C. Zhou and G. W. Wei:
High resolution conjugate filters
for the simulation of flows.
- 2001-051
H. Liu and E. Tadmor:
Spectral dynamics of the velocity
gradient field in restricted flows.
- 2001-050
S. Bianchini and A. Bressan:
Vanishing viscosity
solutions of nonlinear hyperbolic systems.
- 2001-049
R. Liska and B. Wendroff:
Comparison of several
difference schemes on 1D and 2D test problems for the Euler
equations.
- 2001-048
J.-F. Coulombel:
Weak stability of non uniformly
stable multidimensional shocks.
- 2001-047
E.Yu.Panov:
On maximal and minimal generalized
entropy solutions to Cauchy problem for a first-order quasilinear
equation.
- 2001-046
P. Goatin and L. Gosse:
Decay of positive waves for $n
\times n$ hyperbolic systems of balance laws.
- 2001-045
L. Gosse:
A nonconservative numerical
approach for hyperbolic systems with source terms: the Well-Balanced
schemes.
- 2001-044
Y. C. Zhou, Yun Gu, and G. W. Wei:
Shock-capturing with natural high
frequency oscillations.
- 2001-043
B. N. Azarenok and S. A. Ivanenko:
Application of moving adaptive
grids for numerical solution of 2-d nonstationary problems in gas
dynamics.
- 2001-042
B. N. Azarenok:
Variational barrier method of
adaptive grid generation in hyperbolic problem of gas
dynamics.
- 2001-041
R. Bürger, J. J. R. Damasceno, and K. H. Karlsen:
A mathematical model for batch and
continuous thickening of flocculent suspensions in vessels with varying
cross section.
- 2001-040
R. Bürger, K. H. Karlsen, N. H. Risebro, and J. D. Towers:
Numerical methods for the
simulation of continuous sedimentation in ideal clarifier-thickener
units.
- 2001-039
R. Li, T. Tang, and P.-W. Zhang:
A moving mesh finite element
algorithm for singular problems in two and three space
dimensions.
- 2001-038
T. Tang, Z.-H. Teng, and Z.-P. Xin:
Fractional rate of convergence for
viscous approximation tononconvex conservation laws.
- 2001-037
M. Banda and M. Seaid:
Higher-order relaxation schemes
for hyperbolic systems of conservation laws.
- 2001-036
R. J. LeVeque:
Some traffic flow models
illustrating interesting hyperbolic behavior.
- 2001-035
R. J. LeVeque:
Finite volume methods for
nonlinear elasticity in heterogeneous media.
- 2001-034
Guy Barles and Espen R. Jakobsen:
On the convergence rate of
approximation schemes for Hamilton-Jacobi-Bellman equations.
- 2001-033
A. Bressan and G. M. Coclite:
On the boundary control of systems
of conservation laws.
- 2001-032
K.-A. Lie and S. Noelle:
On the artificial compression
method for second-order nonoscillatory central difference schemes for
systems of conservation laws.
- 2001-031
K.-A. Lie and S. Noelle:
An improved quadrature rule for
the flux-computation in staggered central difference schemes in
multidimensions.
- 2001-030
N. Andrianov, R. Saurel, and G. Warnecke:
A simple method for compressible
multiphase mixtures and interfaces.
- 2001-029
E. R. Jakobsen and K. Hvistendahl Karlsen:
Continuous dependence estimates
for viscosity solutions of fully nonlinear degenerate elliptic
equations.
- 2001-028
J. Pan and G. Warnecke:
Asymptotic stability of traveling
waves for viscous conservation laws with dissipation.
- 2001-027
C. Mascia and K. Zumbrun:
Pointwise Green's function bounds
and stability of relaxation shocks.
- 2001-026
F. Huang and Z. Wang:
Well posedness for pressureless
flow.
- 2001-025
J. Li and G. Warnecke:
Generalized
characteristics and the uniqueness of entropy solutions to
zero-pressure gas dynamics.
- 2001-024
J. Huang, J. Wang, and G. Warnecke:
Error bounds for the large
time step Glimm scheme applied to scalar conservation laws.
- 2001-023
J. Wang and G. Warnecke:
Existence and uniqueness
of solutions for a non-uniformly parabolic equation.
- 2001-022
K. H. Karlsen, N. H. Risebro, and J. D. Towers:
Convergence of an upwind
difference scheme for degenerate parabolic convection-diffusion
equations with a discontinuous coefficient.
- 2001-021
R. Bürger, K. H. Karlsen, C. Klingenberg, and N. H. Risebro:
A front tracking approach to a
model of continuous sedimentation in ideal clarifier-thickener
units.
- 2001-020
Y. G. Rykov:
On the nonhamilton character of
shocks in 2-D pressureless gas.
- 2001-019
R. Bürger, K. H. Karlsen, E. M. Tory, and W. L. Wendland:
Model equations and instability
regions for the sedimentation of polydisperse suspensions of
spheres.
- 2001-018
K. Xu:
A well-balanced gas-kinetic scheme
for the shallow water equations with source terms.
- 2001-017
L. Gosse:
Localization effects and measure
source terms in numerical schemes for balance laws.
- 2001-016
Y.-X. Kan, T. Tang, and Z.-H. Teng:
On the piecewisely smooth
solutions to non-homogeneous scalar conservation laws.
- 2001-015
H. Fan and S. Jin:
Front motion in muti-dimensional
conservation laws with stiff source terms driven by mean curvature and
variation of front thickness.
- 2001-014
H.-Z. Tang and T. Tang:
Adaptive mesh methods for one- and
two-dimensional hyperbolic conservation laws.
- 2001-013
K. H. Karlsen, N. H. Risebro, and J. D. Towers:
On a nonlinear degenerate
parabolic transport-diffusion equation with a discontinuous
coefficient.
- 2001-012
M. Radyna:
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
Kun Xu:
A gas-kinetic BGK scheme for the
Navier-Stokes equations and its connection with artificial dissipation
and Godunov method.
- 2001-010
G. Puppo:
Numerical entropy production for
central schemes.
- 2001-009
M. Küther:
A priori and a posteriori error
estimates for the staggered Lax-Friedrichs scheme in multi-dimensions
for scalar nonlinear conservation laws.
- 2001-008
S. Evje and K. H. Karlsen:
An error estimate for
viscous approximate solutions of degenerate parabolic
equations.
- 2001-007
V. Milisic:
Stability and convergence of
discrete kinetic approximations to an initial-boundary value problem for
conservation laws.
- 2001-006
P. Baiti and H. K. Jenssen:
Blowup in $L^{\infty}$ for
a class of genuinely nonlinear hyperbolic systems of
conservation laws.
- 2001-005
S. Jiang and P. Zhang:
Axisymmetric solutions of the 3-D
Navier-Stokes equations for compressible isentropic fluids.
- 2001-004
E. R. Jakobsen and K. Hvistendahl Karlsen:
Continuous dependence estimates
for viscosity solutions of fully nonlinear degenerate parabolic
equations.
- 2001-003
K. Hvistendahl Karlsen and M. Ohlberger:
A note on the uniqueness of
entropy solutions of nonlinear degenerate parabolic
equations.
- 2001-002
R. J. LeVeque and M. Pelanti:
A class of approximate Riemann
solvers and their relation to relaxation schemes.
- 2001-001
J.D. Towers:
TVD schemes for two-dimensional
scalar conservation laws.