@Article{JCM-31-549,
author = {Sevda Üsküplü Altınbaşak, Marissa Condon, Alfredo Deaño and Arieh Iserles},
title = {Highly Oscillatory Diffusion-Type Equations},
journal = {Journal of Computational Mathematics},
year = {2013},
volume = {31},
number = {6},
pages = {549--572},
abstract = {<p style="text-align: justify;">We explore new asymptotic-numeric solvers for partial differential equations with highly oscillatory forcing terms. Such methods represent the solution as an asymptotic series, whose terms can be evaluated by solving non-oscillatory problems and they guarantee high accuracy at a low computational cost. We consider two forms of oscillatory forcing terms, namely when the oscillation is in time or in space: each lends itself to different treatment. Numerical examples highlight the salient features of the new approach.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1307-m3955},
url = {http://global-sci.org/intro/article_detail/jcm/9754.html}
}