A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error

DOI10.1007/s10910-013-0282-0zbMath1300.65049OpenAlexW2040695334MaRDI QIDQ460886

Higinio Ramos, Jesus Vigo Aguiar

Publication date: 9 October 2014

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-013-0282-0

zbMATH Keywords

numerical exampleperiodic solutionsecond-order ordinary differential equationslocal truncation errorradial Schrödinger equationtrigonometrically-fitted methodsfrequency determinationperiodic nonlinear oscillators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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)

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