Efficient Tree Solver for Hines Matrices on the GPU

Felix Huber

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arXiv · 1810.12742

Efficient Tree Solver for Hines Matrices on the GPU

Felix Huber

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Abstract

The human brain consists of a large number of interconnected neurons communicating via exchange of electrical spikes. Simulations play an important role in better understanding electrical activity in the brain and offers a way to to compare measured data to simulated data such that experimental data can be interpreted better. A key component in such simulations is an efficient solver for the Hines matrices used in computing inter-neuron signal propagation. In order to achieve high performance simulations, it is crucial to have an efficient solver algorithm. In this report we explain a new parallel GPU solver for these matrices which offers fine grained parallelization and allows for work balancing during the simulation setup.

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Felix Huber. 2018-10-30. Efficient Tree Solver for Hines Matrices on the GPU. https://arxiv.org/abs/1810.12742

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