High-order symmetric multistep cosine methods
Autor: | M. J. Moreta, B. Cano |
---|---|
Rok vydání: | 2013 |
Předmět: |
Backward differentiation formula
Computational Mathematics Numerical Analysis General linear methods Consistency (statistics) Applied Mathematics Mathematical analysis Numerical methods for ordinary differential equations Trigonometric functions Filter (signal processing) Exponential integrator Linear multistep method Mathematics |
Zdroj: | Applied Numerical Mathematics. 66:30-44 |
ISSN: | 0168-9274 |
DOI: | 10.1016/j.apnum.2012.11.005 |
Popis: | In this paper, a general procedure is given to construct explicit high-order symmetric multistep cosine methods. For these integrators, stability for stiff problems and order of consistency under hypotheses of regularity are justified. We also study when resonances can turn up for the methods suggested and give a simple technique to filter them without losing order of consistency. Particular methods of order eight and ten are explicitly constructed and their high efficiency is numerically shown when integrating Euler-Bernoulli equation. |
Databáze: | OpenAIRE |
Externí odkaz: |