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A general purpose, modular program package for the integration of largenumber of independent ordinary differential equation systems capable of usingprofessional graphics cards is presented. The available numerical schemes arethe explicit and adaptive Runge--Kutta--Cash--Karp algorithm and the explicitfourth order Runge--Kutta method with fixed time step. In order to harness thehuge processing power of graphics cards, the intermediate points of thecomputed trajectories are not stored. As a compensate, with pre-declared devicefunctions, the required special features or properties of a solution can beeasily extracted and stored each into a dedicated variable. For instance, themaximum and minimum values and/or their time instances. Event handling is alsoincorporated into the package in order to detect special points which can bestored as well. Moreover, again with pre-declared device function calls at suchspecial points, the efficient handling of non-smooth dynamics---e.g. impactdynamics---is possible. Several test cases are presented to demonstrate theflexibility of the pre-declared device functions and the strength of theprogram package. The applied models are the simple Duffing oscillator, the morecomplex Keller--Miksis equation known in bubble dynamics, and a systemdescribing the behaviour of a pressure relief valve that can exhibit impactdynamics.

Modular, general purpose ODE integration package to solve large number of independent ODE systems on GPUs