Phys. Rev. ST Accel. Beams 10, 034201 (2007)

Particle-in-cell beam dynamics simulations with a wavelet-based Poisson solver

Balša Terzić, Ilya V. Pogorelov, and Courtlandt L. Bohn

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  1. R. Hockney and J. Eastwood, Computer Simulation Using Particles (Institute of Physics Publishing, London, 1988) [ADS].
  2. J. Dawson, Rev. Mod. Phys. 55, 403 (1983) [SPIN][INSPEC].
  3. J. Qiang, R. Ryne, S. Habib, and V. Decyk, J. Comput. Phys. 163, 434 (2000) [INSPEC][ADS][CAS].
  4. F. Combes, F. Debbasch, D. Friedli, and D. Pfenniger, Astron. Astrophys. 233, 82 (1990).
  5. H. Couchman, Astrophys. J. 368, L23 (1991).
  6. A. Melott, R. Splinter, S. Shandarin, and Y. Suto, Astrophys. J. 479, L79 (1997) [ADS].
  7. R. Splinter, A. Melott, S. Shandarin, and Y. Suto, Astrophys. J. 497, 38 (1998) [SPIN][INSPEC][ADS][SPIRES].
  8. A. Romeo, C. Horellou, and J. Bergh, Mon. Not. R. Astron. Soc. 342, 337 (2003).
  9. A. Romeo, C. Horellou, and J. Bergh, Mon. Not. R. Astron. Soc. 354, 1208 (2004) [CAS].
  10. K. Heitmann, P. Ricker, M. Warren, and S. Habib, Astrophys. J. Suppl. Ser. 160, 28 (2005) [SPIN].
  11. C. Birdsall and A. Langdon, Plasma Physics via Computer Simulations (Institute of Physics Publishing, London, 1991).
  12. A. Friedman, D. Grote, and I. Haber, Phys. Fluids B 4, 2203 (1992) [SPIN][INSPEC][ADS][CAS].
  13. F. H. Harlow, Meth. Comput. Phys. 3, 319 (1964).
  14. D. Hamilton, F. Lindholm, and A. Marshak, Principles and Applications of Semiconductor Device Modeling (Rinehart and Winston, New York, 1971).
  15. G. Beylkin, in Wavelets: Mathematics and Applications, edited by J. Benedetto and M. Frazier (CRC Press LLC, Boca Raton, Florida, 1993).
  16. A. Averbuch, G. Beylkin, R. Coifman, P. Fischer, and M. Israeli, in Signal and Image Representation in Combined Spaces, edited by Y. Zeevi and R. Coifman (Academic Press, San Diego, 1995).
  17. Z. Huang, M. Borland, P. Emma, J. Wu, C. Limborg, G. Stupakov, and J. Welch, Phys. Rev. ST Accel. Beams 7, 074401 (2004) [SPIRES].
  18. I. Pogorelov, J. Qiang, R. Ryne, M. Venturini, A. Zholents, and R. Warnock, Proceedings of the 9th International Computational Accelerator Physics Conference, 2006, p. 182 (WEPPP01).
  19. M. Berger and P. Colella, J. Comput. Phys. 82, 64 (1989) [SPIN][INSPEC][ADS].
  20. J. Bella, M. Berger, J. Saltzman, and M. Welcome, SIAM J. Sci. Comput. 15, 127 (1994) [CrossRef][SPIN].
  21. R. Coifman and M. Wickerhauser, IEEE Trans. Inf. Theory 38, 713 (1992) [INSPEC].
  22. R. Coifman, Y. Meyer, and M. Wickerhauser, in Wavelets and Their Applications, edited by M. B. Ruskai et al. (Jones and Bartlett, Boston, 1992).
  23. D. Donoho and I. Johnstone, Biometrika 81, 425 (1994).
  24. D. Donoho and I. Johnstone, Stanford University internal report, 1994, http://www-stat.stanford.edu/~donoho/Reports/1994/idealbasis.pdf.
  25. N. Saito, in Wavelets in Geophysics, edited by E. Foufoula-Georgiou and P. Kumar (Academic Press, San Diego, 1994).
  26. C. Bohn, AIP Conf. Proc. 647, 81 (2002).
  27. G. Bassi, T. Agoh, M. Dolhus, L. Giannessi, R. Hajima, A. Kabel, T. Limberg, and M. Quattromini, Nucl. Instrum. Methods Phys. Res., Sect. A 557, 189 (2006) [CrossRef].
  28. A. Averbuch, G. Beylkin, R. Coifman, P. Fischer, and M. Israeli, Institut de Mathématiques de Bordeaux Internal Report, 2003.
  29. J. Qiang and R. Ryne, Comput. Phys. Commun. 138, 18 (2001) [CAS].
  30. J. Qiang, S. Lidia, R. Ryne, and C. Limborg-Deprey, Phys. Rev. ST Accel. Beams 9, 044204 (2006) [SPIRES].
  31. I. Daubechies, Ten Lectures on Wavelets (SIAM, Philadelphia, 1992) [ADS].
  32. M. Wickerhauser, Adaptive Wavelet Analysis From Theory to Software (A K Peters, Wellesley, Massachusetts, 1994).
  33. M. Misiti, Y. Misiti, G. Oppenheim, and J. Poggi, Wavelet Toolbox for Use with MATLAB (The MathWorks, Inc., Natick, Massachusetts, 1997).
  34. S. Goedecker, Wavelets and Their Applications (Presses Polytechniques et Universitaires Romandes, Lausanne, 1998).
  35. S. Mallat, A Wavelet Tour of Signal Processing (Elsevier, San Diego, 1998).
  36. S. Goedecker and O. Ivanov, Comput. Phys. 12, 548 (1998) [SPIN][INSPEC].
  37. G. Golub and C. Van Loan, Matrix Computations (Johns Hopkins, Baltimore, 1996) [ADS].
  38. M. R. Hestenes and E. Stiefel, J. Res. Nat. Bur. Stand. 49, 409 (1952).
  39. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in Fortran: The Art of Scientific Computing, 2nd edition (University of Cambridge, Cambridge, England, 1992).
  40. R. Coifman and D. Donoho, in Wavelet and Statistics, edited by A. Antoniadis and G. Oppenheim (Springer, New York, 1995).
  41. F. Anscombe, Biometrika 35, 246 (1948).
  42. A. Stuart and J. Ord, Advanced Theory of Statistics (Oxford University Press, New York, 1991), Vol. 2.
  43. D. Donoho, Stanford University Internal Report, 1993, http://www-stat.stanford.edu/~donoho/Reports/1993/toulouse.ps.Z.
  44. F. Murtagh, J. Starck, and A. Bijaoui, Astron. Astrophys. Suppl. Ser. 112, 179 (1995).
  45. J. Starck, D. Donoho, and E. Candés, Astron. Astrophys. 398, 785 (2003).
  46. H. Plummer, Mon. Not. R. Astron. Soc. 71, 460 (1911) [ADS].
  47. See http://www.nicadd.niu.edu/fnpl/.
  48. R. Tikhoplav, A. Melissinos, J. Li, and P. Piot, Particle Accelerator Conference, 2005.