Nonstandard discrete approximations preserving stability properties of continuous mathematical models

DOI10.1016/j.mcm.2004.02.028zbMath1112.65070OpenAlexW2030923687MaRDI QIDQ1765073

Francisco J. Solis, Benito M. Chen-Charpentier

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.02.028

zbMATH Keywords

StabilityNonstandard discrete approximation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

• Discretizations of nonlinear differential equations using explicit finite order methods
• On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
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