| Autor: |
Kovalnogov, Vladislav N., Kornilova, Maria I., Khakhalev, Yuri A., Generalov, Dmitry A., Simos, Theodore E., Tsitouras, Charalampos |
| Předmět: |
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| Zdroj: |
Mathematical Methods in the Applied Sciences; Jan2023, Vol. 46 Issue 1, p273-282, 10p |
| Abstrakt: |
Runge–Kutta–Nyström pair of orders 7(5) using six stages per step have been discovered very recently. Here we modify four of its weights. The resulting method integrates exactly the harmonic oscillator ψ′′=−μ2ψ,μ∈ℝ$$ {\psi}^{\prime \prime }=-{\mu}^2\psi, \mu \in \mathbb{R} $$, which serves as model problem. The new weights are O(μ2)$$ O\left({\mu}^2\right) $$ perturbations of the original ones. Order reduction which is usually present in such modifications is avoided. Numerical results over standard six stages pairs justify our efforts. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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