A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: the urokinase model

DOI10.1016/j.amc.2015.08.023zbMath1410.92049OpenAlexW2465508926WikidataQ111492600 ScholiaQ111492600MaRDI QIDQ668491

Niklas Kolbe, Mária Lukáčová-Medvid'ová, Jana Kat'uchová, Nadja Hellmann, Nikolaos Sfakianakis

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.023

zbMATH Keywords

finite volume methodadaptive mesh refinementchemotaxiscancer modelingIMEXmerging and emerging concentrations

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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