An algorithm for exact integration of some forced and damped oscillatory problems, based in the \(\tau \)-functions
DOI10.1016/j.advengsoft.2010.07.006zbMath1201.65121OpenAlexW1992860200MaRDI QIDQ602909
Yolanda Villacampa, José Antonio Reyes, Fernando García-Alonso
Publication date: 5 November 2010
Published in: Advances in Engineering Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.advengsoft.2010.07.006
algorithmnumerical examplesstiff problems\(G\)-functionlocal truncation errorperturbed oscillatorshighly oscillatory problems\(\varphi \)-functions seriesforced and damped oscillatorsseries methods
Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for stiff equations (65L04)
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