Linearized methods for ordinary differential equations

DOI10.1016/S0096-3003(98)10056-5zbMath0935.65071MaRDI QIDQ1805819

Juan I. Ramos

Publication date: 2 December 1999

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

zbMATH Keywords

stabilityfixed pointsattractorsnonlinear dynamicsPadé approximantsrepellerslinearized \(\varTheta\)-techniquestime-linearized methodstime-reversed logistic equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

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Cites Work

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• Linearization methods for reaction-diffusion equations: 1-D problems
• Linearization methods for reaction-diffusion equations: Multidimensional problems
• Implicit, compact, linearized \(\theta\)-methods with factorization for multidimensional reaction-diffusion equations
• Piecewise-linearized methods for initial-value problems
• Linearized \(\Theta\)-methods. I: Ordinary differential equations