Asymptotic analysis provides a set of powerful techniques for approximating solutions to differential equations, particularly in cases where exact solutions are elusive. This approach is critical when ...
SIAM Journal on Applied Mathematics, Vol. 72, No. 1 (2012), pp. 405-416 (12 pages) An asymptotic expansion in powers of small dimensionless dispersion coefficient is sought to solve an initial value ...
The field of asymptotic analysis serves as a cornerstone in understanding the behaviour of wave equations and their applications in hydrodynamics. This area of research focuses on developing ...
In this paper, some theoretical aspects will be addressed for the asymptotic preserving discontinuous Galerkin implicit-explicit (DG-IMEX) schemes recently proposed in [J. Jang, F. Li, J.-M. Qiu, and ...
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