Abstract
We sketch a modal tau approach for treating binary neutron stars, in particular a low-rank technique for dealing with the changing surface of a tidally distorted star.
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References
S.R. Lau, R.H. Price, Multidomain spectral method for the helically reduced wave equation. J. Comput. Phys. 227, 1126–1161 (2007)
S.R. Lau, R.H. Price, Sparse spectral-tau method for the three-dimensional helically reduced wave equation on two-center domains. J. Comput. Phys. 231, 7695–7714 (2012)
M. Beroiz, T. Hagstrom, S.R. Lau, R.H. Price, Multidomain, sparse, spectral-tau method for helically symmetric flow. Comput. Fluids 102, 250–265 (2014)
E.A. Coutsias, T. Hagstrom, J.S. Hesthaven, D. Torres, Integration preconditioners for differential operators in spectral τ-methods, in Proceedings of ICOSAHOM 1995, Spec. Issue Houston J. of Mathematics, 1996, pp. 21–38
J.W. York Jr., Conformal “thin sandwich” data for the initial-value problem of general relativity. Phys. Rev. Lett. 82, 1350–1353 (1999); H.P. Pfeiffer, J.W. York, Extrinsic curvature and the Einstein constraints. Phys. Rev. D 67, Article ID 044022 (2003); F. Foucart, L.E. Kidder, H.P. Pfeiffer, S.A. Teukolsky, Initial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method, Phys. Rev. D 77, Article ID 124051 (2008)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover Publishing Inc, New York, 1970)
J.C. Adams, P.N. Swarztrauber, SPHEREPACK 3.0: a model development facility. Mon. Weather Rev. 127, 1872–1878 (1999)
B. Alpert, L. Greengard, T. Hagstrom, Rapid evaluation of nonreflecting boundary Kernels for time-domain wave propagation. SIAM J. Numer. Anal. 37, 1138–1164 (2000)
V. Frayssé, L. Giraud, S. Gratton, J. Langou, A set of GMRES routines for real and complex arithmetics on high performance computers. CERFACS Technical Report TR/PA/03/3, July 2007. http://www.cerfacs.fr/algor/
R.H. Price, C. Markakis, J.L. Friedman, Iteration stability for simple Newtonian stellar systems. J. Math. Phys. 50, Article ID 073505 (2009)
I. Hachisu, Y. Eriguchi, K. Nomoto, Fate of merging double white dwarfs II. numerical method. Astrophys. J. 311, 214–225 (1986)
I. Hachisu, A versatile method for obtaining structures of rapidly rotating stars. II. Three-dimensional self-consistent field method. Astrophys. J. Suppl. Ser. 62, 461–499 (1986)
Acknowledgements
We gratefully acknowledge support through NSF grant No. DMS 1216866. Additionally, we thank Daniel Appelö for comments.
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Lau, S.R., Price, R.H. (2015). Sparse Modal Tau-Method for Helical Binary Neutron Stars. In: Kirby, R., Berzins, M., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering, vol 106. Springer, Cham. https://doi.org/10.1007/978-3-319-19800-2_28
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DOI: https://doi.org/10.1007/978-3-319-19800-2_28
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