Analytic solutions to nonlinear ODEs via spectral power series

DOI10.1016/J.LAA.2024.04.031zbMATH Open1546.34004MaRDI QIDQ6565855

Rebecca E. Morrison, Estelle Basor

Publication date: 2 July 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

reduced modelsspectral methodhomogeneouscoupled ODEsKoopman eigenpairsmethod of matching coefficients

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry
• Calibration of a SEIR-SEI epidemic model to describe the zika virus outbreak in Brazil
• The Koopman Operator in Systems and Control
• The Adaptive Spectral Koopman Method for Dynamical Systems

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