143 citations · 757 across the 54 of their papers we have counts for
6 papers · 1 filter
Massively parallel stochastic solution of the geophysical gravity problem
Fabrizio Donzelli, Alexander Bihlo, Mauricio Kischinhevsky +1
In this paper, we report the advantages of using a stochastic algorithm in the context of mineral exploration based on gravity measurements. This approach has the advantage over de…
A well-balanced meshless tsunami propagation and inundation model
Rüdiger Brecht, Alexander Bihlo, Scott MacLachlan +1
We present a novel meshless tsunami propagation and inundation model. We discretize the nonlinear shallow-water equations using a well-balanced scheme relying on radial basis funct…
Extended symmetry analysis of isothermal no-slip drift flux model
Stanislav Opanasenko, Alexander Bihlo, Roman O. Popovych +1
We perform extended group analysis for a system of differential equations modeling an isothermal no-slip drift flux. The maximal Lie invariance algebra of this system is proved to…
Inverse problem on conservation laws
Roman O. Popovych, Alexander Bihlo
The explicit formulation of the general inverse problem on conservation laws is presented for the first time. In this problem one aims to derive the general form of systems of diff…
Group analysis of general Burgers-Korteweg-de Vries equations
Stanislav Opanasenko, Alexander Bihlo, Roman O. Popovych
The complete group classification problem for the class of (1+1)-dimensional th order general variable-coefficient Burgers-Korteweg-de Vries equations is solved for arbitrary va…
Well-balanced mesh-based and meshless schemes for the shallow-water equations
Alexander Bihlo, Scott MacLachlan
We formulate a general criterion for the exact preservation of the "lake at rest" solution in general mesh-based and meshless numerical schemes for the strong form of the shallow-w…