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Volumn 231, Issue 22, 2012, Pages 7695-7714

Sparse spectral-tau method for the three-dimensional helically reduced wave equation on two-center domains

Author keywords

Gravitational waves; Helical symmetry; Mixed type problems; Preconditioning; Spectral methods; Wave equation

Indexed keywords

GRAVITY WAVES; NUMERICAL METHODS; RELATIVITY; THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 84865710124     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2012.07.006     Document Type: Article
Times cited : (20)

References (43)
  • 2
    • 0030375661 scopus 로고    scopus 로고
    • An efficient spectral method for ordinary differential equations with rational function coefficients
    • Coutsias E.A., Hagstrom T., Torres D. An efficient spectral method for ordinary differential equations with rational function coefficients. Math. Comput. 1996, 65(214):611-635.
    • (1996) Math. Comput. , vol.65 , Issue.214 , pp. 611-635
    • Coutsias, E.A.1    Hagstrom, T.2    Torres, D.3
  • 3
    • 0000776389 scopus 로고    scopus 로고
    • Integration preconditioning of pseudospectral operators. I. Basic linear operators
    • Hesthaven J.S. Integration preconditioning of pseudospectral operators. I. Basic linear operators. SIAM J. Numer. Anal. 1998, 35(4):1571-1593.
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.4 , pp. 1571-1593
    • Hesthaven, J.S.1
  • 4
    • 0033293839 scopus 로고    scopus 로고
    • Pseudospectral solution of the two-dimensional Navier-Stokes equations in a disk
    • Torres D.J., Coutsias E.A. Pseudospectral solution of the two-dimensional Navier-Stokes equations in a disk. SIAM J. Sci. Comput. 1999, 21(1):378-403.
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.1 , pp. 378-403
    • Torres, D.J.1    Coutsias, E.A.2
  • 5
    • 33644688237 scopus 로고    scopus 로고
    • Spectral element modeling of semiconductor heterostructures
    • von Winckel G., Krishna S., Coutsias E.A. Spectral element modeling of semiconductor heterostructures. Math. Comput. Model. 2006, 43(5-6):582-591.
    • (2006) Math. Comput. Model. , vol.43 , Issue.5-6 , pp. 582-591
    • von Winckel, G.1    Krishna, S.2    Coutsias, E.A.3
  • 6
    • 36148977247 scopus 로고    scopus 로고
    • Multidomain spectral method for the helically reduced wave equation
    • Lau S.R., Price R.H. Multidomain spectral method for the helically reduced wave equation. J. Comput. Phys. 2007, 227(2):1126-1161.
    • (2007) J. Comput. Phys. , vol.227 , Issue.2 , pp. 1126-1161
    • Lau, S.R.1    Price, R.H.2
  • 7
    • 27144549879 scopus 로고    scopus 로고
    • Evolution of binary black-hole spacetimes
    • (4 pages)
    • Pretorius F. Evolution of binary black-hole spacetimes. Phys. Rev. Lett. 2005, 95:121101. (4 pages).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 121101
    • Pretorius, F.1
  • 8
    • 33645166635 scopus 로고    scopus 로고
    • Accurate evolutions of orbiting black-hole binaries without excision
    • (4 pages)
    • Campanelli M., Lousto C.O., Marronetti P., Zlochower Y. Accurate evolutions of orbiting black-hole binaries without excision. Phys. Rev. Lett. 2006, 96:111101. (4 pages).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 111101
    • Campanelli, M.1    Lousto, C.O.2    Marronetti, P.3    Zlochower, Y.4
  • 9
    • 33645136226 scopus 로고    scopus 로고
    • Gravitational-wave extraction from an inspiraling configuration of merging black holes
    • (4 pages)
    • Baker J.G., Centrella J., Choi D.-I., Koppitz M., van Meter J. Gravitational-wave extraction from an inspiraling configuration of merging black holes. Phys. Rev. Lett. 2006, 96:111102. (4 pages).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 111102
    • Baker, J.G.1    Centrella, J.2    Choi, D.-I.3    Koppitz, M.4    van Meter, J.5
  • 10
    • 33747364453 scopus 로고    scopus 로고
    • Spinning-black-hole binaries: the orbital hang-up
    • 041501(R)
    • Campanelli M., Lousto C.O., Zlochower Y. Spinning-black-hole binaries: the orbital hang-up. Phys. Rev. D 2006, 74:041501(R). (5 pages).
    • (2006) Phys. Rev. D , vol.74 , pp. 5
    • Campanelli, M.1    Lousto, C.O.2    Zlochower, Y.3
  • 15
    • 43949137609 scopus 로고    scopus 로고
    • Close encounters of three black holes
    • 101501(R)
    • Campanelli M., Lousto C.O., Zlochower Y. Close encounters of three black holes. Phys. Rev. D 2008, 77:101501(R). (5 pages).
    • (2008) Phys. Rev. D , vol.77 , pp. 5
    • Campanelli, M.1    Lousto, C.O.2    Zlochower, Y.3
  • 19
    • 65649106615 scopus 로고    scopus 로고
    • Comparison of numerical and post-Newtonian waveforms for generic precessing black-hole binaries
    • (24 pages)
    • Campanelli M., Lousto C.O., Nakano H., Zlochower Y. Comparison of numerical and post-Newtonian waveforms for generic precessing black-hole binaries. Phys. Rev. D 2009, 79:084010. (24 pages).
    • (2009) Phys. Rev. D , vol.79 , pp. 084010
    • Campanelli, M.1    Lousto, C.O.2    Nakano, H.3    Zlochower, Y.4
  • 20
    • 73349119944 scopus 로고    scopus 로고
    • Simulations of binary black hole mergers using spectral methods
    • (17 pages)
    • Szilágyi B., Lindblom L., Scheel M.A. Simulations of binary black hole mergers using spectral methods. Phys. Rev. D 2009, 80:124010. (17 pages).
    • (2009) Phys. Rev. D , vol.80 , pp. 124010
    • Szilágyi, B.1    Lindblom, L.2    Scheel, M.A.3
  • 21
    • 67649394254 scopus 로고    scopus 로고
    • Black-hole binary simulations: the mass ratio 10:1
    • (10 pages)
    • González J.A., Sperhake U., Brügmann B. Black-hole binary simulations: the mass ratio 10:1. Phys. Rev. D 2009, 79:124006. (10 pages).
    • (2009) Phys. Rev. D , vol.79 , pp. 124006
    • González, J.A.1    Sperhake, U.2    Brügmann, B.3
  • 22
    • 79251509595 scopus 로고    scopus 로고
    • Orbital evolution of extreme-mass-ratio black-hole binaries with numerical relativity
    • (4 pages)
    • Lousto C.O., Zlochower Y. Orbital evolution of extreme-mass-ratio black-hole binaries with numerical relativity. Phys. Rev. Lett. 2011, 106:041101. (4 pages).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 041101
    • Lousto, C.O.1    Zlochower, Y.2
  • 23
    • 79551573483 scopus 로고    scopus 로고
    • Simulating merging binary black holes with nearly extremal spins
    • (5 pages)
    • Lovelace G., Scheel M.A., Szilágyi B. Simulating merging binary black holes with nearly extremal spins. Phys. Rev. D 2011, 83:024010. (5 pages).
    • (2011) Phys. Rev. D , vol.83 , pp. 024010
    • Lovelace, G.1    Scheel, M.A.2    Szilágyi, B.3
  • 24
    • 78649406347 scopus 로고    scopus 로고
    • Black-hole binaries, gravitational waves, and numerical relativity
    • Centrella J., Baker J.G., Kelly B.J., van Meter J.R. Black-hole binaries, gravitational waves, and numerical relativity. Rev. Mod. Phys. 2010, 82:3069-3119.
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 3069-3119
    • Centrella, J.1    Baker, J.G.2    Kelly, B.J.3    van Meter, J.R.4
  • 26
    • 33749159006 scopus 로고    scopus 로고
    • Periodic standing-wave approximation: nonlinear scalar fields, adapted coordinates, and the eigenspectral method
    • (27 pages)
    • Bromley B., Owen R., Price R.H. Periodic standing-wave approximation: nonlinear scalar fields, adapted coordinates, and the eigenspectral method. Phys. Rev. D 2005, 71:104017. (27 pages).
    • (2005) Phys. Rev. D , vol.71 , pp. 104017
    • Bromley, B.1    Owen, R.2    Price, R.H.3
  • 27
    • 33745948541 scopus 로고    scopus 로고
    • Periodic standing-wave approximation: eigenspectral computations for linear gravity and nonlinear toy models
    • (17 pages)
    • Beetle C., Bromley B., Price R.H. Periodic standing-wave approximation: eigenspectral computations for linear gravity and nonlinear toy models. Phys. Rev. D 2006, 74:024013. (17 pages).
    • (2006) Phys. Rev. D , vol.74 , pp. 024013
    • Beetle, C.1    Bromley, B.2    Price, R.H.3
  • 28
    • 35649020364 scopus 로고    scopus 로고
    • Periodic standing-wave approximation: post-Minkowski computations
    • (16 pages)
    • Beetle C., Bromley B., Price R.H. Periodic standing-wave approximation: post-Minkowski computations. Phys. Rev. D 2007, 76:084016. (16 pages).
    • (2007) Phys. Rev. D , vol.76 , pp. 084016
    • Beetle, C.1    Bromley, B.2    Price, R.H.3
  • 29
    • 63249087091 scopus 로고    scopus 로고
    • Periodic standing-wave approximation: computations in full general relativity
    • (13 pages)
    • Hernández N., Price R.H. Periodic standing-wave approximation: computations in full general relativity. Phys. Rev. D 2009, 79:064008. (13 pages).
    • (2009) Phys. Rev. D , vol.79 , pp. 064008
    • Hernández, N.1    Price, R.H.2
  • 30
    • 29944438526 scopus 로고    scopus 로고
    • Ph.D. thesis, Cornell University, Available from: .
    • H. Pfeiffer, Initial data for black hole evolutions, Ph.D. thesis, Cornell University, 2003. Available from: . arxiv:gr-qc/0510016v1.
    • (2003) Initial data for black hole evolutions
    • Pfeiffer, H.1
  • 32
    • 85190771371 scopus 로고    scopus 로고
    • Spectral Einstein Code, .
    • Spectral Einstein Code, . http://www.black-holes.org/SpEC.html.
  • 36
    • 0039916967 scopus 로고
    • Coulomb and Bessel functions of complex arguments and order
    • Thompson I.J., Barnett A.R. Coulomb and Bessel functions of complex arguments and order. J. Comput. Phys. 1986, 64(2):490-509.
    • (1986) J. Comput. Phys. , vol.64 , Issue.2 , pp. 490-509
    • Thompson, I.J.1    Barnett, A.R.2
  • 38
    • 85190775970 scopus 로고    scopus 로고
    • See for more details.
    • See for more details. arxiv:1106.1632v1.
  • 40
    • 0032728652 scopus 로고    scopus 로고
    • SPHEREPACK 3.0: a model development facility
    • Adams J.C., Swarztrauber P.N. SPHEREPACK 3.0: a model development facility. Mon. Wea. Rev. 1999, 127:1872-1878.
    • (1999) Mon. Wea. Rev. , vol.127 , pp. 1872-1878
    • Adams, J.C.1    Swarztrauber, P.N.2
  • 43
    • 36549072891 scopus 로고    scopus 로고
    • Helical symmetry in linear systems
    • (11 pages)
    • Bičák J., Schmidt B.G. Helical symmetry in linear systems. Phys. Rev. D 2007, 76:104040. (11 pages).
    • (2007) Phys. Rev. D , vol.76 , pp. 104040
    • Bičák, J.1    Schmidt, B.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.