@Article{JCM-31-549, author = {}, title = {Highly Oscillatory Diffusion-Type Equations}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {6}, pages = {549--572}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1307-m3955}, url = {http://global-sci.org/intro/article_detail/jcm/9754.html} }