Eric Heisler

Projects of a more academic nature

Finch: a Domain Specific Language for solving PDEs in Julia

This was my PhD research in computer science at the University of Utah.

• Finch website
• The code repository (github)
• Multi-discretization domain specific language and code generation for differential equations. Journal of Computational Science 2023
• A Domain Specific Language Applied to Phonon Boltzmann Transport for Heat Conduction. ASME International Mechanical Engineering Congress and Exposition - IMECE 2022
• Finch: Domain Specific Language and Code Generation for Finite Element and Finite Volume in Julia. International Conference on Computational Science - ICCS 2022

Collective behavior of self-propelled particles

Numerical simulations and theoretical analysis of the dynamics of ensembles of self-propelled particles such as camphor pellets on water.

• Simulation code repository (Java)
• Master's thesis (Hiroshima University): Collective dynamics of camphor particles on water (pdf)
• Swarming of self-propelled camphor boats (preprint pdf) Physical Review E, 2012 Eric Heisler, Nobuhiko J Suematsu, Akinori Awazu, Hiraku Nishimori
• Collective motion and phase transitions of symmetric camphor boats (preprint pdf) Journal of the Physical Society of Japan, 2012 Eric Heisler, Nobuhiko J Suematsu, Akinori Awazu, Hiraku Nishimori
• Collective motion of symmetric camphor papers in an annular water channel Physical Review E, 2013 Yumihiko S. Ikura, Eric Heisler, Akinori Awazu, Hiraku Nishimori, Satoshi Nakata
• Motion with memory of a self-propelled object The Journal of Physical Chemistry C, 2013 Satoshi Nakata, Misato Hata, Yumihiko S. Ikura, Eric Heisler, Akinori Awazu, Hiroyuki Kitahata, Hiraku Nishimori

Finite difference methods using radial basis functions

Exploring the properties of some less-common finite difference methods gives surprising improvements in accuracy without much additional work.

• h-epsilon Refinement of Finite Difference Formulas Generated by Radial Basis Functions Eric Heisler, Grady B. Wright

National Undergraduate Fellowship in plasma physics

Theoretical analysis and instrumentation development for the Driven Relaxation Experiment. I developed and investigated mathematical models of relaxed plasma configurations. I also built and tested various sensors and equipment for the experiment.

• Poster from American Physical Society 2006 conference Eric Heisler, Scott Hsu