论文信息 - Linearly-implicit two-step methods and their implementation in Nordsieck form

Linearly-implicit two-step methods and their implementation in Nordsieck form

We consider the Nordsieck representation of well-known linearly-implicit two-step methods in order to facilitate stepsize changes. These methods are treated as implicit schemes with one Newton step with a special predictor. A new predictor with better accuracy is discussed. Methods with 4-7 stages are tested and compared with RODAS. The numerical results show the potential of the Nordsieck implementation of the methods.

Helmut Podhaisky | Rüdiger Weiner | Bernhard A. Schmitt

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