论文信息 - One-step multiderivative methods for first order ordinary differential equations

One-step multiderivative methods for first order ordinary differential equations

A family of one-step multiderivative methods based on Padé approximants to the exponential function is developed. The methods are extrapolated and analysed for use inPECE mode.Error constants, stability intervals and stability regions are given in two associated Technical Reports.Comparisons are made with well-known linear multi-step combinations and combinations using high accuracy Newton-Cotes quadrature formulas as correctors.

E. H. Twizell | A. Khaliq | A. Q. M. Khaliq

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