ASGarD: Adaptive Sparse Grid Discretization
Many areas of science exhibit physical processes that are described by high dimensional partial differential equations (PDEs), e.g., the 4D (Dorf et al., 2013), 5D (Candy et al., 2009) and 6D models (Juno et al., 2018) describing magnetized fusion plasmas, models describing quantum chemistry, or derivatives pricing (Bandrauk et al., 2007).Such problems are affected by the so-called "curse of dimensionality" where the number of degrees of freedom (or unknowns) required to be solved for scales as where is the number of grid points in any given dimension .A simple, albeit naive, 6D example is demonstrated in the left panel of Figure
Authors
- Tim Younkin (ORCID: https://orcid.org/0000-0002-7471-6840)
- Cory D. Hauck (ORCID: https://orcid.org/0000-0001-5559-502X)
- Nestor Demeure (ORCID: https://orcid.org/0000-0002-0530-6530)
- Benjamin McDaniel
- Ed D’Azevedo
- Adam McDaniel
- Wael Elwasif (ORCID: https://orcid.org/0000-0003-0554-1036)
- Steven Hahn (ORCID: https://orcid.org/0000-0002-2018-7904)
- M. Graham Lopez (ORCID: https://orcid.org/0000-0002-5375-2105)
- Lin Mu (ORCID: https://orcid.org/0000-0002-2669-2696)
- M. Cianciosa (ORCID: https://orcid.org/0000-0001-6211-5311)
- Eirik Endeve (ORCID: https://orcid.org/0000-0003-1251-9507)
- Stefan Schnake (ORCID: https://orcid.org/0000-0002-1518-3538)
- Miroslav Stoyanov (ORCID: https://orcid.org/0000-0002-8199-5577)
- David L. Green (ORCID: https://orcid.org/0000-0003-3107-1170)
- Coleman Kendrick (ORCID: https://orcid.org/0000-0001-8808-9844)
- Hugo Brunie
- Hao Lau
Institutions
- Oak Ridge National Laboratory (US)
- Institut national de recherche en sciences et technologies du numérique (FR)
- Lawrence Berkeley National Laboratory (US)
- University of Georgia (US)
- National Energy Research Scientific Computing Center (US)
- University of Tennessee at Knoxville (US)
Publication Details
- Journal
- The Journal of Open Source Software
- Published
- 2024-08-22
- DOI
- https://doi.org/10.21105/joss.06766
- Primary Topic
- Magnetic confinement fusion research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- U.S. Department of Energy
- Battelle
- UT-Battelle
- Office of Science
- Advanced Scientific Computing Research
- Oak Ridge National Laboratory