Discrete boundary treatment for the shifted wave equation in second-order form and related problems

Classical and Quantum Gravity

Volumn 23, Issue 16, 2006, Pages

  Calabrese, Gioel ^a   Gundlach, Carsten ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746617982     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/16/S04     Document Type: Article

References (28)

1. Fischer A and Marsden J 1973 Commun. Math. Phys. 28 1-38
2. Frittelli S and Reula O 1996 Phys. Rev. Lett. 76 4667-70
3. Anderson A and York J W 1999 Phys. Rev. Lett. 82 4384
4. Kidder L E, Scheel M A and Teukolsky S A 2001 Phys. Rev. D 64 064017
5. Sarbach O and Tiglio M 2002 Phys. Rev. D 66 064011
6. Shibata M and Nakamura T 1995 Phys. Rev. D 52 5428
7. Baumgarte T and Shapiro S 1999 Phys. Rev. D 59 024007
8. Gundlach C and Martín-García J M 2004 Phys. Rev. D 70 044031
9. Gundlach C and Martín-García J M 2004 Phys. Rev. D 70 044032
10. Beyer H and Sarbach O 2004 Phys. Rev. D 70 104004
11. Gundlach C and Martín-García J M 2005 Preprint gr-qc/0506037
12. Szilgyi B, Kreiss H-O and Winicour J 2005 Phys. Rev. D 71 104035
13. Calabrese G, Lehner L, Neilsen D, Pullin J, Reula O, Sarbach O and Tiglio M 2003 Class. Quantum Grav. 20 L245-51
14. Gustafsson B, Kreiss H-O and Oliger J 1995 Time Dependent Problems and Difference Methods (New York: Wiley)
15. Mattsson K and Nordström J 2004 J. Comput. Phys. 199 503-40
16. Strand B 1994 J. Comput. Phys. 110 47
17. Calabrese G 2005 Phys. Rev. D 71 027501
18. Calabrese G, Hinder I and Husa S 2005 Preprint gr-qc/0503056
19. Calabrese G 2004 Class. Quantum Grav. 21 4025
20. Levy D and Tadmor E 1998 SIAM Rev. 40 40-73
21. Tadmor E 2002 From semidiscrete to fully discrete: stability of Runge-Kutta schemes by the energy method. II Collected Lectures on the Preservation of Stability Under Discretization: Lecture Notes from Colorado State University Conference (Fort Collins, CO, 2001) (Proc. Appl. Math. vol 109) ed D Estep and S Tavener (Philadelphia, PA: SIAM) pp 25-49
22. Johansson M 2000 Loss of high order spatial accuracy due to boundary error caused by Runge-Kutta time integration Technical Report 2000-013 Uppsala University
23. Nagy G, Ortiz O and Reula O 2004 Phys. Rev. D 70 044012
24. Alcubierre M and Brügmann B 2001 Phys. Rev. D 63 104006
25. Yo H, Baumgarte T W and Shapiro S L 2001 Phys. Rev. D 64 124011
26. Calabrese G and Neilsen D 2004 Phys. Rev. D 69 044020
27. Calabrese G and Neilsen D 2005 Phys. Rev. D 71 124027
28. Thornburg J 2004 Class. Quantum Grav. 21 3665