6533b7d9fe1ef96bd126c4a9

RESEARCH PRODUCT

Speeding up a few orders of magnitude the Jacobi method: high order Chebyshev-Jacobi over GPUs

J. E. AdsuaraMiguel A. AloyP. Cerdá-duránI. Cordero-carrión

subject

High Energy Astrophysical Phenomena (astro-ph.HE)ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONMathematicsofComputing_NUMERICALANALYSISFOS: MathematicsFOS: Physical sciencesMathematics - Numerical AnalysisNumerical Analysis (math.NA)Computational Physics (physics.comp-ph)Astrophysics - High Energy Astrophysical PhenomenaPhysics - Computational Physics

description

In this technical note we show how to reach a remarkable speed up when solving elliptic partial differential equations with finite differences thanks to the joint use of the Chebyshev-Jacobi method with high order discretizations and its parallel implementation over GPUs.

https://dx.doi.org/10.48550/arxiv.1705.00103