Choosing a stepsize for Taylor series methods for solving ODE'S

DOI10.1016/S0377-0427(77)80016-2zbMath0399.65046MaRDI QIDQ1254831

David Lowery, George F. Corliss

Publication date: 1977

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

zbMATH Keywords

AlgorithmOrdinary Differential EquationsNumerical MethodsNumerical ExampleRadius of ConvergenceConvergence RegionEstimates for Optimal SteplengthModel Scalar ProblemSteplengthTaylor Series MethodsTruncation ErrorUpper and Lower Bounds for the Truncation Error

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (5)

On the risks of using double precision in numerical simulations of spatio-temporal chaos ⋮ ATOMFT: Solving ODEs and DAEs using Taylor series ⋮ Application of a global polytropic model to the Jupiter's system of satellites: A numerical treatment ⋮ Clean numerical simulation: a new strategy to obtain reliable solutions of chaotic dynamic systems ⋮ Reducing rounding errors and achieving Brouwer's law with Taylor series method

Cites Work

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• A Program for the Automatic Integration of Differential Equations using the Method of Taylor Series
• Numerical Construction of Taylor Series Approximations for a Set of Simultaneous First Order Differential Equations
• Ratio-Like and Recurrence Relation Tests for Convergence of Series
• Solving Nonstiff Ordinary Differential Equations—The State of the Art
• Methods and Applications of Power Series
• The automatic solution of systems of ordinary differential equations by the method of Taylor series
• Zeros and poles of functions defined by Taylor series

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