Travelling waves for adaptive grid discretizations of reaction diffusion systems. II: Linear theory

DOI10.1007/s10884-021-09942-yzbMath1498.35147OpenAlexW3134848692WikidataQ115383298 ScholiaQ115383298MaRDI QIDQ2172765

Hermen Jan Hupkes, Erik S. Van Vleck

Publication date: 16 September 2022

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-021-09942-y

zbMATH Keywords

travelling wavessingular perturbationsadaptive gridsspatial discretizations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Discrete version of topics in analysis (39A12) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07) Lattice functional-differential equations (34K31)

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Travelling waves for adaptive grid discretizations of reaction diffusion systems. III: Nonlinear theory

Cites Work

• Travelling waves for complete discretizations of reaction diffusion systems
• An application for an implicit function theorem of Craven and Nashed: continuum limits of lattice differential equations
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• Corner defects in almost planar interface propagation
• Traveling Waves of Bistable Dynamics on a Lattice
• Multidimensional stability of planar travelling waves