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cuPSS: a package for the pseudo-spectral integration of stochastic PDEs
by Fernando Caballero
Submission summary
| Ontological classification |
|---|
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Computational
- Statistical and Soft Matter Physics
- Active Matter
|
| Approach: |
Computational |
Abstract
This manuscript introduces cuPSS, a package to numerically integrate arbitrary systems of stochastic partial differential equations (SPDEs). SPDEs are a powerful mathematical tool to describe a large class of physical systems. Their numerical integration usually relies eiher on in-house made codes or external packages like MATLAB, Mathematica, Fenicsx, OpenFOAM, Dedalus, and others. These packages rarely offer a good combination of speed, generality, and the option to easily add stochasticity to the system, while in-house codes depend on certain expertise to obtain good performance, and are usually written for each specific use-case, sacrificing modularity and reusability. cuPSS, by contrast, can deal with the integration of an arbitrary number of stochastic fields and differential equations, and is written in CUDA C++, thus enabling by default GPU acceleration. The numerical integration is done pseudo-spectrally in flat lattices in one, two and three dimensions. This manuscript describes the basic functionality of cuPSS, with an example and benchmarking, showing that cuPSS offers a considerable improvement in speed over other popular finite-difference and spectral solvers.
