2000 Preprints
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Preprints submitted in 2000
- 2000-001
K. H. Karlsen, K.-A. Lie, J. R. Natvig, H. F. Nordhaug, and
H. K. Dahle:
Operator splitting methods for
systems of convection-diffusion equations: nonlinear error mechanisms
and correction strategies.
- 2000-002
R. Natalini and A. Terracina:
Convergence of a relaxation
approximation to a boundary value problem for conservation
laws.
- 2000-003
H. Liu and R. Natalini:
Long-time diffusive behavior of
solutions to a hyperbolic relaxation system.
- 2000-004
R. Natalini and S. Tang:
Discrete kinetic models for
dynamical phase transitions.
- 2000-005
F. Bouchut, F.R. Guarguaglini, and R. Natalini:
Diffusive BGK approximations for
nonlinear multidimensional parabolic equations.
- 2000-006
B. Wendroff:
Approximate Riemann solvers,
Godunov schemes, and contact discontinuities.
- 2000-007 (revised august 22 2000)
E. R. Jakobsen, K. H. Karlsen, and N. H. Risebro:
On the convergence rate of
operator splitting for Hamilton-Jacobi equations with source
terms.
- 2000-008
R. Bürger, K.-K. Fjelde, K. Höfler, and K. Hvistendahl
Karlsen:
Central difference solutions of
the kinematic model of settling of polydisperse suspensions and
three-dimensional particle-scale simulations.
- 2000-009
A. Bressan and H. K. Jenssen:
On the convergence of Godunov
scheme for nonlinear hyperbolic systems.
- 2000-010
R. Bürger and K. Hvistendahl Karlsen:
On some upwind difference schemes
for the phenomenological sedimentation-consolidation model.
- 2000-011
K. Xu and H.-Z. Tang:
An explanation for the sonic
point glitch.
- 2000-012
De-xing Kong:
Life-span of classical
solutions to quasilinear hyperbolic systems with slow decay
initial data.
- 2000-013
G. Chiavassa and R. Donat:
Numerical experiments
with point value multiresolution for 2D compressible
flows.
- 2000-014
H. Hanche-Olsen, H. Holden, and N.H. Risebro:
The Riemann problem for
an elastic string with a linear Hooke's law.
- 2000-015
K. Hvistendahl Karlsen and N.H. Risebro:
On the uniqueness and stability
of entropy solutions of nonlinear degenerate parabolic equations with
rough coefficients.
- 2000-016
John D. Towers:
A difference scheme for
conservation laws with a discontinuous flux - the nonconvex
case.
- 2000-017
K. Hvistendahl Karlsen and N.H. Risebro:
Unconditionally stable methods
for Hamilton-Jacobi equations.
- 2000-018
P. Marcati, M. Mei, and B. Rubino:
Optimal convergence rates to
diffusion waves for solutions of the hyperbolic conservation
laws with damping.
- 2000-019
H. Li, P. Markowich, and M. Mei:
Asymptotic behavior of solutions
of the hydrodynamic model of semiconductors.
- 2000-020
S. Jiang and P. Zhang:
On spherically symmetric
solutions of the compressible isentropic Navier-Stokes
equations.
- 2000-021
K.-A. Lie and S. Noelle:
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.
- 2000-022
S. Evje, K. Hvistendahl Karlsen, and N. H. Risebro:
A continuous dependence result
for nonlinear degenerate parabolic equations with spatially dependent
flux function.
- 2000-023
R. Bürger and K. Hvistendahl Karlsen:
A strongly degenerate
convection-diffusion problem modeling centrifugation of flocculated
suspensions.
- 2000-024
H. K. Jenssen and C. Sinestrari:
On the spreading of
characteristics for nonconvex conservation laws.
- 2000-025
F. Berthelin and F. Bouchut:
Solution with finite energy to a
BGK system relaxing to isentropic gas dynamics.
- 2000-026
F. Berthelin and F. Bouchut:
Kinetic invariant domains and
relaxation limit from a BGK model to isentropic gas
dynamics.
- 2000-027
T. Tang:
Error estimates for approximate
solutions for nonlinear scalar conservation laws.
- 2000-028
E. R. Jakobsen, K. H. Karlsen, and N. H. Risebro:
On the convergence rate of
operator splitting for weakly coupled systems of Hamilton-Jacobi
equations.
- 2000-029
G. Godinaud, A.-Y. Le Roux, and M.-N. Le Roux:
Generation of new solvers
involving the source term for a class of non homogeneous
hyperbolic systems.
- 2000-030
John D. Towers:
A difference scheme for
conservation laws with a discontinuous flux - the nonconvex
case.
- 2000-031
M. S. Espedal and K. Hvistendahl Karlsen:
Numerical solution of reservoir
flow models based on large time step operator splitting
algorithms.
- 2000-032
C. Lattanzio and R. Natalini:
Convergence of diffusive BGK
approximations for nonlinear strongly parabolic systems.
- 2000-033
F. Ancona and A. Marson:
A wave front tracking algorithm
for NxN non genuinely nonlinear conservation laws.
- 2000-034
L. Gosse and F. James:
Convergence results for an
inhomogeneous system arising in various high frequency
approximations.
- 2000-035
K. H. Karlsen and N. H. Risebro:
Convergence of finite difference
schemes for viscous and inviscid conservation laws with rough
coefficients.
- 2000-036
S. Bianchini and R. M. Colombo:
On the stability of
the standard Riemann semigroup.
- 2000-037
A. Kurganov and E. Tadmor:
Solution of two-dimensional
Riemann problems for gas dynamics.
- 2000-038
S. Bianchini and A. Bressan:
A case study in vanishing
viscosity.
- 2000-039
J. Qian and W. W. Symes:
An adaptive finite-difference
method for traveltimes and amplitudes.
- 2000-040
J. Qian and W. W. Symes:
Finite-difference quasi-P
traveltimes for anisotropic media.
- 2000-041
R. Bürger, F. Concha, and K. H. Karlsen:
Phenomenological model of
filtration processes: 1. Cake formation and expression.
- 2000-042
F. Bouchut:
Entropy satisfying flux vector
splittings and kinetic BGK models.
- 2000-043
F. Huang:
Global existence of weak solution
for a nonstrictly hyperbolic system of conservation laws.
- 2000-044
F. Guarguaglini and A. Terracina:
A BGK approximation to nonlinear
parabolic initial-boundary value problems.
- 2000-045
D. Donatelli and P. Marcati:
Convergence of singular limits for
multi-d semilinear hyperbolic systems to parabolic systems.
- 2000-046
D. Aregba-Driollet, R. Natalini, and S.Q. Tang:
Diffusive kinetic explicit schemes
for nonlinear degenerate parabolic systems.
- 2000-047
C. Mascia, A. Porretta, and A. Terracina:
Nonhomogeneous Dirichlet problems
for degenerate parabolic-hyperbolic equations.
- 2000-048
F. Ancona and P. Goatin:
Uniqueness and stability of
$l^\infty$ solutions for Temple class systems with boundary and
properties of the attainable sets.
- 2000-049
K.-A. Lie and S. Noelle:
High resolution nonoscillatory
central difference schemes for the 2D Euler equations via artificial
compression.
- 2000-050
D. Amadori, L. Gosse, and G. Guerra:
Global BV entropy solutions and
uniqueness for hyperbolic systems of balance laws.
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Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Wed May 23 14:22:51 MET DST 2001