Preprints submitted in 1998
- 1998-042
S. Jiang:
Large-time behavior of solutions
to the equations of a one-dimensional viscous polytropic ideal gas in
unbounded domains.
- 1998-041
B. Wendroff:
A two-dimensional HLLE Riemann
solver and associated Godunov-type difference scheme for gas
dynamics.
- 1998-040
R. Balean:
Granular avalanche flow down a
smoothly varying slope: the existence of entropy
solutions.
- 1998-039
A. Bressan and P. Goatin:
Stability of L$^\infty$
solutions of Temple class systems.
- 1998-038
S. Jin, L. Pareschi, and G. Toscani:
Uniformly accurate diffusive
relaxation schemes for multiscale transport equations.
- 1998-037
H. Fan, S. Jin, and Z.-H. Teng:
Zero reaction limit for
hyperbolic conservation laws with source terms.
- 1998-036
D. Amadori and G. Guerra:
Global BV solutions and
relaxation limit for a system of conservation laws.
- 1998-035
R. Liska and B. Wendroff:
Composite centered schemes for
multidimensional conservation laws.
- 1998-034
F. Bouchut:
Construction of BGK models with a
family of kinetic entropies for a given system of conservation
laws.
- 1998-033
A. Bressan and M. Lewicka:
A uniqueness condition for
hyperbolic systems of conservation laws.
- 1998-032
A. Bressan:
On the Cauchy problem for
nonlinear hyperbolic systems.
- 1998-031
A. Bressan:
Hyperbolic systems of
conservation laws.
- 1998-030
A. Bressan, T.-P. Liu, and T. Yang:
L^1 stability estimates for n x n
conservation laws.
- 1998-029
A. Bressan and P. G. LeFloch:
Structural stability and
regularity of entropy solutions to hyperbolic systems of conservation
laws.
- 1998-028
C. Fries:
Stability of viscous shock waves
associated with non-convex modes.
- 1998-027
S. Jin and H. Liu:
Diffusion limit of a hyperbolic
system with relaxation.
- 1998-026
S. Jin, M. Katsoulakis, Z. Xin:
Relaxation schemes for
curvature-dependent front propagation.
- 1998-025
Kun Xu:
Gas evolution dynamics in
Godunov-type schemes.
- 1998-024
M. H. Zhou, M. Mascagni, and A. Y. Qiao:
Explicit finite difference
schemes for the advection equation.
- 1998-023
H. K. Jenssen:
A note on the spreading of
characteristics for nonconvex conservation laws.
- 1998-022
E. Tadmor:
Approximate solutions of
nonlinear conservation laws and related equations.
- 1998-021
C. Lattanzio and P. Marcati:
The zero relaxation limit for
$2\times 2$ hyperbolic systems.
- 1998-020
R. Fazio and R. J. LeVeque::
Moving-mesh methods for
one-dimensional hyperbolic problems using CLAWPACK.
- 1998-019
R. Holdahl, H. Holden, and K.-A. Lie:
Unconditionally stable splitting
methods for the shallow water equations.
- 1998-018
H. Holden, K.-A. Lie, and N. H. Risebro:
An unconditionally stable method
for the Euler equations.
- 1998-017
S. Evje and K. Hvistendahl Karlsen:
Discrete approximations of BV
solutions to doubly nonlinear degenerate parabolic
equations.
- 1998-016
E. Tadmor and T. Tassa:
On the homogenization of
oscillatory solutions to nonlinear convection-diffusion
equations
- 1998-015
C.-T. Lin and E. Tadmor:
$L^1$-stability and error
estimates for approximate Hamilton-Jacobi solutions
- 1998-014
S. Evje and K. Hvistendahl Karlsen:
Degenerate convection-diffusion
equations and implicit monotone difference schemes.
- 1998-013
K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro:
A front tracking method for
conservation laws with boundary conditions.
- 1998-012
W. Shen, A. Tveito, and R. Winther:
Rate of convergence for the zero
relaxation limit.
- 1998-011
S. Evje and K. Hvistendahl Karlsen:
Monotone difference
approximations of BV solutions to degenerate convection-diffusion
equations.
- 1998-010
J. Härterich:
Heteroclinic orbits between
rotating waves in hyperbolic balance laws.
- 1998-009
L. Pareschi and G. Naldi:
Numerical schemes for kinetic
equations in diffusive regimes.
- 1998-008
H. K. Jenssen:
Blowup for systems of
conservation laws.
- 1998-007
E. Tadmor and T. Tang:
Pointwise error estimates for
scalar conservation laws with piecewise smooth solutions.
- 1998-006
H. K. Jenssen and C. Sinestrari:
Blowup asymptotics for scalar
conservation laws with a source.
- 1998-005
T. Fogarty and R. J. LeVeque:
High-resolution finite volume
methods for acoustics in a rapidly-varying heterogeneous
medium.
- 1998-004
R. J. LeVeque:
Balancing source terms and flux
gradients in high-resolution Godunov methods: the quasi-steady
wave-propogation algorithm.
- 1998-003
K. Brusdal, H. K. Dahle, K. Hvistendahl Karlsen, and
T. Mannseth:
A study of the modelling error in
two operator splitting algorithms for porous media flow.
- 1998-002
K. Hvistendahl Karlsen, K. Brusdal, H. K. Dahle, S. Evje, and
K.-A. Lie:
The corrected operator splitting
approach applied to an advection-diffusion problem.
- 1998-001
W.-A. Yong:
Singular perturbations of
first-order hyperbolic systems with stiff source terms