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Exponentially fitted two-step hybrid methods for

✍ Scribed by R. D’Ambrosio; E. Esposito; B. Paternoster

Book ID
104007333
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
373 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

It is the purpose of this paper to derive two-step hybrid methods for y ′′ = f (x, y), with oscillatory or periodic solutions, specially tuned to the behaviour of the solution, through the usage of the exponential fitting technique. The construction of two-step exponentially fitted hybrid methods is shown and their properties are discussed. Some numerical experiments confirming the theoretical expectations are provided.

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✍ Hans Van de Vyver 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 814 KB

This paper provides a theoretical framework for a new type of phase-fitted and amplification-fitted two-step hybrid (FTSH) methods which is introduced by the author in [H. Van de Vyver, A phase-fitted and amplification-fitted explicit two-step hybrid method for second-order periodic initial value pr