High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models
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Publication:5132195
DOI10.1007/978-3-030-20297-2_4zbMath1453.92047OpenAlexW2969870278MaRDI QIDQ5132195
Alexander Kurganov, Alina E. Chertock
Publication date: 10 November 2020
Published in: Active Particles, Volume 2 (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-20297-2_4
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Developmental biology, pattern formation (92C15) Cell movement (chemotaxis, etc.) (92C17) Research exposition (monographs, survey articles) pertaining to biology (92-02) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Third order positivity-preserving direct discontinuous Galerkin method with interface correction for chemotaxis Keller-Segel equations ⋮ Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source
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