DifferentialEquations. jl is a package for solving differential equations in Julia. It covers
discrete equations (function maps, discrete stochastic (Gillespie/Markov) simulations) …

This work presents a parallel implementation of density-based topology optimization using
distributed GPU computing systems. The use of multiple GPU devices allows us accelerating …

We demonstrate a high-performance vendor-agnostic method for massively parallel solving
of ensembles of ordinary differential equations (ODEs) and stochastic differential equations …

This paper discusses the main performance barriers for solving a large number of
independent ordinary differential equation systems on processors (CPU) and graphics cards …

A fixed-point iteration technique is presented to handle the implicit nature of the governing
equations of nonlinear surface mode oscillations of acoustically excited microbubbles. The …

Challenges and efficient solution techniques during the integration of a large number of
independent ordinary differential equations (ODEs) using the massively parallel architecture …

Langevin dynamics simulations are used to analyze the static and dynamic properties of an
XY model adapted to dimers forming on Si (001) surfaces. The numerics utilize high …

传统常微分方程的并行求解方法主要包括面向任务的并行和面向方法的并行,
但是这两种求解算法, 只能利用CPU, 或者只能面向同质形式的ODE (ordinary differential …

Stars are known to form from dense, dusty clumps and cores of molecular clouds. However,
there is no consensus on a theory that can predict the rate of star formation, its clustering …

In this paper, the performance characteristics of different solution techniques and program
packages to solve a large number of independent ordinary differential equation systems is …