Shaka

Portable batch system (PBS) was originally developed by NASA, which is comprised of a resource manager, a scheduler and a client. What is different, a resource manager and a scheduler are usually running on server side, while clients running on computing nodes. For the softwares, both commercial PBS Pro and open-source Torque are available. But herein, we consider the open-source Torque only.

Just as their names indicate, a resource manager targets for resource management and configuration, responsible for checking the availability of resource, e.g. CPU, memory, etc., and resource assignment; a scheduler accept jobs from subscribers and maintains one or more queues.

The built-in scheduler is a simple FIFO scheduler. However, other schedulers can be adopted instead. For instance, Maui is a very popular and powerful scheduler, based on which advanced and complex strategies can be realized and customized.

Armadillo¹ is an excellent C++ library, which provides efficient linear algebra related operations, based on a series of classes, e.g., for vectors, matrices, etc. Thanks to its friendly interfaces, similar to MATLAB, the library is very easy to use.

Armadillo is developped by Conrad Sanderson and Ryan Curtin, and released under Apache 2.0 license.

\[\begin{aligned} \nabla \times \mathbf{E} &= -\mu \frac{\partial \mathbf{H}}{\partial t} \\ \nabla \times \mathbf{H} &= \epsilon \frac{\partial \mathbf{E}}{\partial t} \\ \nabla \cdot \epsilon\mathbf{E} &= 0 \\ \nabla \cdot \mu\mathbf{H} &= 0 \end{aligned}\] where

• \(\mathbf{E}\) and \(\mathbf{H}\) are strengths of electric and magnetic fields respectively;
• \(\epsilon\) and \(\mu\) are permittivity and permeability respectively.