OpenCL parallel integration of ordinary differential equations: Applications in computational dynamics

Abstract
In many physical problems the use of numerical simulations presents the only path to obtain insight into the behavior and evolution of the system of interest. GPU, CPU and MIC technologies are frequently employed for simulations on computational dynamics and we present results comparing different schemes for the numerical integration of ordinary differential systems (ODEs) in these architectures. The use of adapted methods with low memory storage (Low storage Runge–Kutta methods) gives good r...

Title of program: OCL-TIDES, OCL-RK
Catalogue Id: AEVW_v1_0

Nature of problem
Solution of ODE problems in generic OpenCL environment oriented to large scale independent sets of initial conditions.

Versions of this program held in the CPC repository in Mendeley Data
AEVW_v1_0; OCL-TIDES, OCL-RK; 10.1016/j.cpc.2015.02.013

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要：在众多物理问题中，数值模拟成为了洞察所关注系统行为与演化的唯一途径。GPU、CPU以及MIC技术常被用于计算动力学模拟，本文呈现了在这些架构中不同数值积分方案（常微分方程组，ODEs）的对比结果。采用低存储容量的适配方法（低存储Runge-Kutta方法）在保证良好精度的同时，显著降低了内存消耗。程序名称：OCL-TIDES，OCL-RK；目录编号：AEVW_v1_0。
问题性质：在面向大规模独立初始条件集的通用OpenCL环境中求解常微分方程组的问题。
此程序版本存档于Mendeley Data中的CPC程序库：AEVW_v1_0；OCL-TIDES，OCL-RK；文献编号：10.1016/j.cpc.2015.02.013。
该程序源自贝尔法斯特女王大学（1969-2018）所持有的CPC程序库。