5 papers · 1 filter
Well-posedness of Bayesian inverse problems for hyperbolic conservation laws
Siddhartha Mishra, David Ochsner, Adrian M. Ruf +1
We study the well-posedness of the Bayesian inverse problem for scalar hyperbolic conservation laws where the statistical information about inputs such as the initial datum and (po…
Flux-stability for conservation laws with discontinuous flux and convergence rates of the front tracking method
Adrian Montgomery Ruf
We prove that adapted entropy solutions of scalar conservation laws with discontinuous flux are stable with respect to changes in the flux under the assumption that the flux is str…
Convergence rates of monotone schemes for conservation laws with discontinuous flux
Jayesh Badwaik, Adrian Montgomery Ruf
We prove that a class of monotone finite volume schemes for scalar conservation laws with discontinuous flux converge at a rate of in , whenever the flux…
Numerical investigations into a model of partially incompressible two-phase flow in pipes
Nils Henrik Risebro, Adrian Montgomery Ruf
We consider a model for flow of liquid and gas in a pipe. We assume that the gas is ideal and that the liquid is incompressible. Under this assumption the resulting equations, expr…
The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance
Adrian Montgomery Ruf, Espen Sande, Susanne Solem
In 1994, Nessyahu, Tadmor and Tassa studied convergence rates of monotone finite volume approximations of conservation laws. For compactly supported, $\Lip^+$-bounded initial data…