Using graphical processing units to solve the multidimensional Ginzburg-Landau equation Academic Article

abstract

• We demonstrate the use of ultrafast hardware, based on a graphical processing unit (GPU), to solve the complex GinzburgLandau equation. We implement an improved finite-difference time-domain method. We utilize parallel processing of our numerical procedure, resulting in tremendous acceleration in the execution of routines and substantial reduction of cost. Simulations are performed in two and three spatial dimensions with time as the marching variable. The numerical algorithm is also implemented on a CPU to make a comparison with the GPU. An acceleration of about 95 times is achieved. The benefits are discussed in detail and the results are presented visually to achieve the best solution strategy for the given problem. 2012 The Royal Swedish Academy of Sciences.

authors

• Belic, Milivoj

published proceedings

• PHYSICA SCRIPTA

author list (cited authors)

• Aleksic, B., Aleksic, N., Skarka, V., & Belic, M.

citation count

• 8

complete list of authors

• Aleksic, Branislav||Aleksic, Najdan||Skarka, Vladimir||Belic, Milivoj

publication date

• May 2012

publisher

• IOP Publishing  Publisher

published in

• Physica Scripta  Journal

keywords

• 49 Mathematical Sciences
• 51 Physical Sciences

Digital Object Identifier (DOI)

• 10.1088/0031-8949/2012/T149/014036

start page

• 014036

end page

• 014036

volume

• T149

issue

• T149

URL

• http://dx.doi.org/10.1088/0031-8949/2012/t149/014036