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Writing Project:: PENG9570 Course Project - Writing Project - VIBE Draft Index:: Drafts - PENG9570 Course Project - VIBE Outline Partner:: 06 - References - Outline 1 Previous Draft:: 06 - References - Draft 6 - HUMAN Role:: Final reference draft adapted from Overleaf final modifications
6. References
Primary Sources
- Theilman, B. H. and Aimone, J. B. (2025). Solving sparse finite element problems on neuromorphic hardware. Nature Machine Intelligence 7(11), 1845-1857. DOI: https://doi.org/10.1038/s42256-025-01143-2. Local note: Solving sparse finite element problems on neuromorphic hardware - Nature Machine Intelligence.
- Theilman, B. and Aimone, J. (2024). NeuroFEM Notebook. Zenodo. DOI: https://doi.org/10.5281/zenodo.16998281. Local anchors: NeuroFEM, NeuroFEM_Annotated.
FEM, PDEs, and Sparse Solvers
- Brenner, S. C. and Scott, L. R. (2008). The Mathematical Theory of Finite Element Methods, 3rd ed. Springer.
- Larson, M. G. and Bengzon, F. (2013). The Finite Element Method: Theory, Implementation, and Applications. Springer.
- Evans, L. C. (2010). Partial Differential Equations, 2nd ed. AMS.
- Saad, Y. (2003). Iterative Methods for Sparse Linear Systems, 2nd ed. SIAM.
- Hestenes, M. R. and Stiefel, E. (1952). Methods of conjugate gradients for solving linear systems. J. Res. NBS 49, 409-436.
- Saad, Y. and Schultz, M. H. (1986). GMRES. SIAM J. Sci. Stat. Comput. 7, 856-869.
- Shewchuk, J. R. (1996). Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator. In Applied Computational Geometry Towards Geometric Engineering, 203-222. Springer.
Spiking Networks, Control, and Hardware Context
- Boerlin, M., Machens, C. K. and Deneve, S. (2013). Predictive coding of dynamical variables in balanced spiking networks. PLoS Comput. Biol. 9, e1003258.
- Brette, R. (2015). Philosophy of the spike. Front. Syst. Neurosci. 9, 151.
- Astrom, K. J. and Murray, R. M. (2008). Feedback Systems. Princeton University Press.
- Hairer, E., Norsett, S. P. and Wanner, G. (1993). Solving Ordinary Differential Equations I. Springer.
- Davies, M. et al. (2021). Advancing neuromorphic computing with Loihi. Proc. IEEE 109, 911-934.
- Orchard, G. et al. (2021). Efficient neuromorphic signal processing with Loihi 2. IEEE SiPS, 254-259.
- Boahen, K. A. (2017). A neuromorph’s prospectus. Computing in Science and Engineering 19, 14-28.
- Smith, J. D. et al. (2022). Neuromorphic scaling advantages for energy-efficient random walk computations. Nature Electronics 5, 102-112. DOI: https://doi.org/10.1038/s41928-021-00705-7.
- Kudithipudi, D. et al. (2025). Neuromorphic computing at scale. Nature 637, 801-812.
- Intel (2024). Intel builds world’s largest neuromorphic system to enable more sustainable AI. Intel Newsroom.
- Anzt, H. et al. (2020). Preparing sparse solvers for exascale computing. Phil. Trans. R. Soc. A 378, 20190053.
- Kogge, P. and Shalf, J. (2013). Exascale computing trends: adjusting to the “new normal” for computer architecture. Computing in Science and Engineering 15, 16-26.
Course and Local Materials
- PENG9570 Course Project
- PENG9570 Project Abstract - Michael Tarlton
- Notebook Runtime - Portable
- Poisson Equation, Weak Form, and P1 FEM
- Triangulation, Triangle, and Sparse Assembly
- NeuroFEM Readout, PI Control, and Euler Stepping
- Residual Error, Residual, and Convergence in NeuroFEM
- CPU Notebook Scope vs Loihi Paper Scope