4 papers
Analysis and simulation of a modified cardiac cell model givesaccurate predictions of the dynamics of the original one
André H. Erhardt, Susanne Solem
The 19-dimensional TP06 cardiac muscle cell model is reduced to a 17-dimensional version, which satisfies the required conditions for performing an analysis of its dynamics by mean…
On complex dynamics in a Purkinje and a ventricular cardiac cell model
André H. Erhardt, Susanne Solem
Cardiac muscle cells can exhibit complex patterns including irregular behaviour such as chaos or (chaotic) early afterdepolarisations (EADs), which can lead to sudden cardiac death…
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…
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…