Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published September 15, 2004 | public
Journal Article Open

Periodic standing-wave approximation: Overview and three-dimensional scalar models

Abstract

The periodic standing-wave method for binary inspiral computes the exact numerical solution for periodic binary motion with standing gravitational waves, and uses it as an approximation to slow binary inspiral with outgoing waves. Important features of this method presented here are: (i) the mathematical nature of the "mixed" partial differential equations to be solved, (ii) the meaning of standing waves in the method, (iii) computational difficulties, and (iv) the "effective linearity" that ultimately justifies the approximation. The method is applied to three-dimensional nonlinear scalar model problems, and the numerical results are used to demonstrate extraction of the outgoing solution from the standing-wave solution, and the role of effective linearity.

Additional Information

©2004 The American Physical Society. (Received 30 September 2003; revised 10 May 2004; published 1 September 2004) We gratefully acknowledge the support of the National Science Foundation under Grants No. PHY9734871 and No. PHY0244605. We also thank the University of Utah Research Foundation for support during this work. We thank Christopher Johnson and the Scientific Computing and Imaging Institute of the University of Utah for time on their supercomputers to produce the non-FFT results of Sec. III. We have also made use of supercomputing facilities provided by funding from JPL Institutional Computing and Information Services and the NASA Offices of Earth Science, Aeronautics, and Space Science. We thank John Friedman and Kip Thorne for helpful discussions and suggestions about this work.

Files

ANDprd04.pdf
Files (861.2 kB)
Name Size Download all
md5:3025cc43295423d209b18a3a739623a2
861.2 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 16, 2023