0000000001058746

AUTHOR

Mateusz Wróbel

0000-0002-5425-9021

showing 2 related works from this author

Mathematical and numerical analysis of initial boundary valueproblem for a linear nonlocal equation

2019

We propose and study a numerical scheme for bounded distributional solutions of the initial boundary value problem for the anomalous diffusion equation ∂t u +Lμu = 0 in a bounded domain supplemented with inhomogeneous boundary conditions. Here Lμ is a class of nonlocal operators including fractional Laplacian. ⃝c 2019 InternationalAssociation forMathematics andComputers in Simulation (IMACS). Published by ElsevierB.V.All rights reserved.

Numerical AnalysisGeneral Computer ScienceAnomalous diffusionApplied MathematicsNumerical analysisMathematical analysisDomain (mathematical analysis)Theoretical Computer ScienceModeling and SimulationScheme (mathematics)Bounded functionFractional Laplacian; Numerical method; Anomalous diffusion equation; Boundary value problemBoundary value problemFractional LaplacianMathematicsMathematics and Computers in Simulation
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Models of the population playing the Rock-Paper-Scissors game

2018

We consider discrete dynamical systems coming from the models of evolution of populations playing rock - paper - scissors game . Asymptotic behaviour of trajectories of these systems is described, occurrence of the Neimark-Sacker bifurcation and nonexistence of time averages are proved.

education.field_of_studyGame mechanicsAsymptotic behaviour of trajectoriesDynamical systems theoryComputer scienceApplied Mathematics010102 general mathematicsPopulation01 natural sciences010101 applied mathematicstime averageDiscrete Mathematics and CombinatoricsApplied mathematicsTime averagerock-paper-scissors game0101 mathematicseducationVideo game designBifurcationDiscrete and Continuous Dynamical Systems-Series B
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