Parallel Implementations of the Split-Step Fourier Method for Solving Nonlinear Schrödinger Systems

Details Parallel Implementations of the Split-Step Fourier Method for Solving Nonlinear Schrödinger Systems Parallel Implementations of the Split-Step Fourier Method for Solving Nonlinear Schrödinger Systems

1997-11-14

arxiv.org/abs/physics/9711012v1

Physics

Computational Physics

14 pages, To be submitted to Computer Physics Communications

Scientific paper

We present a parallel version of the well-known Split-Step Fourier method (SSF) for solving the Nonlinear Schr\"odinger equation, a mathematical model describing wave packet propagation in fiber optic lines. The algorithm is implemented under both distributed and shared memory programming paradigms on the Silicon Graphics/Cray Research Origin 200. The 1D Fast-Fourier Transform (FFT) is parallelized by writing the 1D FFT as a 2D matrix and performing independent 1D sequential FFTs on the rows and columns of this matrix. We can attain almost perfect speedup in SSF for small numbers of processors depending on both problem size and communication contention. The parallel algorithm is applicable to other computational problems constrained by the speed of the 1D FFT.

Affiliated with

Also associated with

No associations

Rating

Parallel Implementations of the Split-Step Fourier Method for Solving Nonlinear Schrödinger Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Parallel Implementations of the Split-Step Fourier Method for Solving Nonlinear Schrödinger Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parallel Implementations of the Split-Step Fourier Method for Solving Nonlinear Schrödinger Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281774