A Unified Structure Preserving Scheme for a Multispecies Model with a Gradient Flow Structure and Nonlocal Interactions via Singular Kernels

DOI10.1137/20M1348911zbMath1469.65142arXiv2006.16526OpenAlexW3159368068MaRDI QIDQ4997349

Yong Zhang, Zhennan Zhou, Yu Zhao

Publication date: 29 June 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16526

zbMATH Keywords

finite volume methodfast algorithmKeller-Segel equationssingular kernelgradient flow structurestructure preserving scheme

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Biopropulsion in water and in air (76Z10) Blow-up in context of PDEs (35B44) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (2)

A Structure Preserving Numerical Scheme for Fokker--Planck Equations of Structured Neural Networks with Learning Rules ⋮ Fast One-Dimensional Convolution with General Kernels Using Sum-of-Exponential Approximation

Uses Software

• Chemotaxis

Cites Work

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