In this work we discuss a class of defect correction methods which is easily adapted to create parallel time integrators for multi-core architectures and is ideally suited for deve...
Andrew J. Christlieb, Colin B. Macdonald, Benjamin...
Spectral deferred correction (SDC) methods for solving ordinary differential equations (ODEs) were introduced by Dutt, Greengard and Rokhlin [5]. It was shown in [5] that SDC metho...
Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qi...
Stencil based computation on structured grids is a common kernel to broad scientific applications. The order of stencils increases with the required precision, and it is a challeng...
Hikmet Dursun, Ken-ichi Nomura, Liu Peng, Richard ...
In this paper, a comprehensive performance review of an MPI-based high-order three-dimensional spectral element method C++ toolbox is presented. The focus is put on the performance...
Christoph Bosshard, Roland Bouffanais, Christian C...
The depth-integrated shallow water equations are frequently used for simulating geophysical flows, such as storm-surges, tsunamis and river flooding. In this paper a parallel sha...
Claes Eskilsson, Yaakoub El Khamra, David Rideout,...