Dendro  5.01
Dendro in Greek language means tree. The Dendro library is a large scale (262K cores on ORNL's Titan) distributed memory adaptive octree framework. The main goal of Dendro is to perform large scale multiphysics simulations efficeiently in mordern supercomputers. Dendro consists of efficient parallel data structures and algorithms to perform variational ( finite element) methods and finite difference mthods on 2:1 balanced arbitary adaptive octrees which enables the users to perform simulations raning from black holes (binary black hole mergers) to blood flow in human body, where applications ranging from relativity, astrophysics to biomedical engineering.
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This file contains the base class for the Rungge-Kutta 45 Method. More...

Detailed Description

This file contains the base class for the Rungge-Kutta 45 Method.

This file contains specific example of solving 3D transport equation using RK45 method.

Constains the implementation of Maxwell equations, with the stability properties in numerical relativity.

Author
Milinda Fernando School of Computing, University of Utah
Milinda Fernando of Computing, University of Utah Reference : https://arxiv.org/abs/gr-qc/0201051

With the numerical stability properties we can rewrite the Maxwell's equations as follows. $ A_i =-E_i -D_i $ $ E_i =-D^jD_jA_i + D_i -4 $ $ =-4\ _e -D^jD_j $ $ =-D_iA^i -4$

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