Abstract: An agent-oriented software solution for simulation of marine unicellular organisms called foraminifera is presented. Their simplified microhabitat interactions are described and implemented to run the model and verify its flexibility. This group of well fossilizable protists has been selected due to its excellent ``in fossilio'' record that should help to verify our future long-run evolutionary results. The introduced system is built utilizing PyAge platform and based on easily exchangeable components that may be replaced (also in runtime). Selected experiments considering substantial and technological efficiency were conducted and the obtained results are presented and discussed.

Abstract: The article is an in-depth comparison of the solving process of the equation systems specific for finite difference, collocation and finite element methods. The paper considers recently developed isogeometric versions of the collocation and finite element methods, employing B-splines for the computations and ensuring C^{p-1} continuity on the borders of elements for the B-splines of the order p. For solving the systems, we use our GPU implementation of the state-of-the-art parallel multifrontal solver, which leverages modern GPU architectures and allows to reduce the complexity. We analyze the structures of linear equation systems resulting from each of the methods and how different structures of matrix lead to different multifrontal solver elimination trees. We also consider the flows of multifrontal solver depending on the originally employed method.