Department of Information Systems and Computing, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain.
ITACA Institute, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain.
Comput Biol Med. 2014 Jan;44:15-26. doi: 10.1016/j.compbiomed.2013.10.023. Epub 2013 Nov 4.
In this paper we studied the implementation and performance of adaptive step methods for large systems of ordinary differential equations systems in graphics processing units, focusing on the simulation of three-dimensional electric cardiac activity. The Rush-Larsen method was applied in all the implemented solvers to improve efficiency. We compared the adaptive methods with the fixed step methods, and we found that the fixed step methods can be faster while the adaptive step methods are better in terms of accuracy and robustness.
在本文中，我们研究了在图形处理单元中对大型常微分方程组系统实施自适应步长方法的实现和性能，重点是模拟三维电心脏活动。在所有实现的求解器中都应用了 Rush-Larsen 方法来提高效率。我们将自适应方法与固定步长方法进行了比较，发现固定步长方法可以更快，而自适应步长方法在准确性和鲁棒性方面更好。
