Stephen R. Lau Publications, Preprints, and Conference Proceedings (denoted by C).

36C. S. R. Lau, "Sparse spectral-element methods for the helically reduced Einstein equations," Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018, to appear in Lecture Notes in Computational Science and Engineering.

35. J. A. Ellison, K. Heinemann, and S. R. Lau, "Distributional analysis of radiation boundary conditions for the 3+1 wave equation," Rocky Mountain J. Math. Volume 49, Number 1, 1-27 (2019).

34. S. R. Lau, "Stellar surface as low-rank modification in iterative methods for binary neutron stars," J. Comput. Phys. 348, 460-481 (2017).

33C. S. R. Lau and R. H. Price, "Helically Reduced Wave Equations and Binary Neutron Stars," in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018. Lecture Notes in Computational Science and Engineering 119, 369-382 (2017).

32. D. A. Bizzozero, J. A. Ellison, K. Heinemann, and S. R. Lau, "Rapid evaluation of two-dimensional retarded time integrals," J. Comp. App. Math. 324, 118-141 (2017). This extended version has an extra appendix.

31C. S. R. Lau and R. H. Price, "Sparse Modal Tau-Method for Helical Binary Neutron Stars," in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering 106, 315-323 (2015).

30. S. E. Field and S. R. Lau, "Fast evaluation of far-field signals for time-domain wave propagation," J. Sci. Comput. 64, 647-669 (2015).

29. M. Beroiz, T. Hagstrom, S. R. Lau, and R. H. Price, "Multidomain, sparse, spectral-tau method for helically symmetric flow," Computers & Fluids 102, 250-265 (2014).

28C. D. A. Bizzozero, J. A. Ellison, K. Heinemann, and S. R. Lau, "Paraxial approximation in CSR modeling using the discontinuous Galerkin method," 6 page contribution to proceedings for 35th International Free-Electron Laser Conference, 26-30 August, 2013.

27. A. G. Benedict, S. E. Field, and S. R. Lau, "Fast evaluation of asymptotic waveforms from gravitational perturbations," Class. Quantum Grav. 30, 055015, 35 pages (2013).

26C. K. Heinemann, G. Bassi, D. Bizzozero, J. A. Ellison, and S. R. Lau, "Rapid integration over history in self-consistent 2D CSR modeling," 4 page contribution to proceedings of ICAP2012, Rostock-Warnemünde, Germany, August 2012.

25. S. R. Lau and R. H. Price, "Sparse spectral-tau method for the three-dimensional helically reduced wave equation on two-center domains," J. Comput. Phys. 231, issue 22, 7695-7714 (2012).

24. S. R. Lau, G. Lovelace, H. P. Pfeiffer, "Implicit-explicit evolution of single black holes," Phys. Rev. D84, 084023, 16 pages (2011).

23. S. E. Field, J. S. Hesthaven, S. R. Lau, and A. H. Mroue, "Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators," Phys. Rev. D82, 104051, 19 pages (2010).

22. S. E. Field, J. S. Hesthaven, and S. R. Lau, "Persistent junk solutions in time-domain modeling of extreme mass ratio binaries," Phys. Rev. D81, 124030, 14 pages (2010).

21. S. R. Lau, "On Partial Spherical Means Formulas and Radiation Boundary Conditions for the 3+1 Wave Equation," Quart. Appl. Math. 68, 179-212 (2010).

20. S. E. Field, J. S. Hesthaven, and S. R. Lau, "Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries," Class. Quantum Grav. 26, 165010, 28 pages (2009).

19. S. R. Lau, H. P. Pfeiffer, and J. S. Hesthaven, "IMEX evolution of scalar fields on curved backgrounds," Commun. Comput. Phys. 6, 1063-1094 (2009).

18. S. R. Lau and R. H. Price, "Multidomain Spectral Method for the Helically Reduced Wave Equation," J. Comput. Phys. 227, issue 2, 1126-1161 (2007).

17. T. Hagstrom and S. Lau, "Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations," J. Comp. Math. 25, 305-336 (2007).

16. S. R. Lau, "Analytic structure of radiation boundary kernels for blackhole perturbations," J. Math. Phys. 46, 102503, 21 pages (2005).

15. S. R. Lau, "Rapid evaluation of radiation boundary kernels for time-domain wave propagation on blackholes: implementation and numerical tests," second half of gr-qc/0401001, Class. Quantum Grav. 21, 4147-4192 (2004).

14. S. R. Lau, "Rapid evaluation of radiation boundary kernels for time-domain wave propagation on blackholes: theory and numerical methods," first half of gr-qc/0401001, J. Comput. Phys. 199, issue 1, 376-422 (2004).

13. D. Baskaran, S. R. Lau, and A. N. Petrov, "Center of mass integral in canonical general relativity,'' Ann. Phys. 307, 90-131 (2003).

12. S. R. Lau, "Outer Boundary as Arrested History in General Relativity,'' Class. Quantum Grav. 19, 2853-2882 (2002); Corrigendum, Class. Quantum Grav. 20, 1415 (2003).

11. J. D. Brown, S. R. Lau, and J. W. York, "Action and Energy of the Gravitational Field,'' Ann. Phys. 297 , 175-218 (2002).

10. S. R. Lau, "Lightcone reference for total gravitational energy,'' Phys. Rev. D60 , 104034, 4 pages (1999).

9. J. D. Brown, S. R. Lau, and J. W. York, "Canonical quasilocal energy and small spheres,'' Phys. Rev. D59 , 064028, 13 pages (1999).

8. S. R. Lau, "Differential forms and wave equations for general relativity,''Int. J. Mod. Phys. D, vol. 7, no. 6, 857-885 (1998).

7. W. Kummer and S. R. Lau, "Boundary conditions and quasilocal energy in the canonical formulation of all 1+1 models of gravity,'' Ann. Phys. 258, 37-80 (1997).

6. J. D. Brown, S. R. Lau, and J. W. York, Jr., "Energy of isolated systems at retarded times as the null limit of quasilocal energy,'' Phys. Rev. D55, 1977-1984 (1997).

5. S. R. Lau, "On the canonical reduction of spherically symmetric gravity,'' Class. Quantum Grav. 13 , 1541-1570 (1996).

4. S. R. Lau, "New variables, the gravitational action, and boosted quasilocal stress-energy-momentum,'' Class. Quantum Grav. 13 , 1509-1540 (1996).

3. S. R. Lau, "Spinors and the reference point of quasilocal energy,'' Class. Quantum Grav. 12 , 1063-1079 (1995).

2. S. R. Lau, "Canonical variables and quasilocal energy in general relativity,'' Class. Quantum Grav. 10 , 2379-2399 (1993).

1. L. Dolan and S. Lau, "Selection rules in low energy string effective Lagrangians,'' Nucl. Phys. B369 , 229-323 (1992).

Math Ph. D. Dissertation:

"Rapid Evaluation of Radiation Boundary Kernels for Time-Domain Wave Propagation on Blackholes,'' 140 pages, UNC-Chapel Hill, December 2003 (under the direction of Michael L. Minion.).

Physics Ph. D. Dissertation:

"Canonical Variables and Quasilocal Energy in General Relativity,'' 315 pages, UNC-Chapel Hill, June 1994 (under the direction of James W. York, Jr.).

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