A Taylor-series solution in Cartesian space to GMA-system equations and its application to initial-value problems

DOI10.1016/S0096-3003(01)00007-8zbMath1023.65064MaRDI QIDQ1855178

Yanyan Li

Publication date: 28 January 2003

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

zbMATH Keywords

algorithmconvergencenumerical examplesstepsize control\(S\)-systemgeneralized mass action systemTwo-body problemsGMA-systemLotka Volterra equationsuper high-order accuracyTaylor-series method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Two-body problems (70F05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (6)

A reliable Taylor series-based computational method for the calculation of dynamic sensitivities in large-scale metabolic reaction systems: algorithm and software evaluation ⋮ Biochemical systems theory: a review ⋮ An efficient method for calculation of dynamic logarithmic gains in biochemical systems theory ⋮ Using dynamic sensitivities to characterize metabolic reaction systems ⋮ Highly accurate computation of dynamic sensitivities in metabolic reaction systems by a Taylor series method ⋮ Computation and analysis of time-dependent sensitivities in generalized mass action systems

Uses Software

• ESSYNS

Cites Work

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• Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
• Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-system Canonical Form

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