11 citations · 54 across the 12 of their papers we have counts for
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A Convergent Numerical Algorithm for -Dissipative Solutions of the Hunter-Saxton Equation
Thomas Christiansen, Katrin Grunert, Anders Nordli +1
A convergent numerical method for -dissipative solutions of the Hunter-Saxton equation is derived. The method is based on applying a tailor-made projection operator to the initi…
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…
Convergence rates of the front tracking method for conservation laws in the Wasserstein distances
Susanne Solem
We prove that front tracking approximations to entropy solutions of scalar conservation laws with convex fluxes converge at a rate of in the 1-Wasserstein distance . As…
A second-order numerical method for the aggregation equations
José A. Carrillo, Ulrik Skre Fjordholm, Susanne Solem
Inspired by so-called TVD limiter-based second-order schemes for hyperbolic conservation laws, we develop a second-order accurate numerical method for multi-dimensional aggregation…
Second-order convergence of monotone schemes for conservation laws
Ulrik S. Fjordholm, Susanne Solem
We prove that a class of monotone, \emph{-contractive} schemes for scalar conservation laws converge at a rate of in the Wasserstein distance (-distance), whenever…