Free Access
Issue
A&A
Volume 622, February 2019
Article Number A162
Number of page(s) 13
Section Numerical methods and codes
DOI https://doi.org/10.1051/0004-6361/201833984
Published online 14 February 2019
  1. Acary, V., & Brogliato, B. 2008, Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics (Springer Verlag), Lecture Notes Appl. Comput. Mech., 35, 526 [Google Scholar]
  2. Auer, L. 2003, in Stellar Atmosphere Modeling, eds. I. Hubeny, D. Mihalas, & K. Werner, ASP Conf. Ser., 288, 3 [NASA ADS] [Google Scholar]
  3. Auer, L. H., & Paletou, F. 1994, A&A, 285, 675 [NASA ADS] [Google Scholar]
  4. Berger, M., Aftosmis, M. J., & Murman, S. M. 2005, Analysis of Slope Limiters on Irregular Grids 43rd AIAA Aerospace Sciences Meeting, 2361 [Google Scholar]
  5. Butcher, J., & Johnston, P. 1993, J. Comput. Appl. Math., 45, 203 [Google Scholar]
  6. Calvo, M., Montijano, J. I., & Rández, L. 2003, Numer. Algorithms, 33, 163 [NASA ADS] [CrossRef] [Google Scholar]
  7. Calvo, M., Montijano, J., & Rández, L. 2008, Bol. Soc. Esp. Math. Apl., 44, 33 [Google Scholar]
  8. Chartres, B., & Stepleman, R. 1972, SIAM J. Numer. Anal., 9, 476 [NASA ADS] [CrossRef] [Google Scholar]
  9. Colella, P., & Sekora, M. D. 2008, J. Comput. Phys., 227, 7069 [NASA ADS] [CrossRef] [Google Scholar]
  10. Colella, P., & Woodward, P. R. 1984, J. Comput. Phys., 54, 174 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  11. de la Cruz Rodríguez, J., & Piskunov, N. 2013, ApJ, 764, 33 [NASA ADS] [CrossRef] [Google Scholar]
  12. Delbourgo, R., & Gregory, J. A. 1983, IMA J. Numer. Anal., 3 [Google Scholar]
  13. Delbourgo, R., & Gregory, J. A. 1985, SIAM J. Sci. Stat. Comput., 6, 967 [Google Scholar]
  14. del Toro Iniesta, J. C., & Ruiz Cobo, B. 2016, Sol. Phys., 13, 4 [Google Scholar]
  15. Dieci, L., & Lopez, L. 2012, J. Comput. Appl. Math., 236, 3967 [Google Scholar]
  16. Dougherty, R., Edelman, A., & Hyman, J. M. 1989, Math. Comput., 52, 471 [Google Scholar]
  17. Dullemond, C. P. 2013, Radiative Transfer in Astrophysics. Theory, Numerical Methods and Applications, Tech. Rep. (University of Heidelberg) [Google Scholar]
  18. Fabiani Bendicho, P. 2003, in Stellar Atmosphere Modeling, eds. I. Hubeny, D. Mihalas, & K. Werner, ASP Conf. Ser., 288, 419 [NASA ADS] [Google Scholar]
  19. Fontenla, J. M., Avrett, E. H., & Loeser, R. 1990, ApJ, 355, 700 [NASA ADS] [CrossRef] [Google Scholar]
  20. Fontenla, J. M., Avrett, E. H., & Loeser, R. 1993, ApJ, 406, 319 [NASA ADS] [CrossRef] [Google Scholar]
  21. Fritsch, F. N., & Butland, J. 1984, SIAM J. Sci. Stat. Comput., 5, 300 [Google Scholar]
  22. Fritsch, F. N., & Carlson, R. E. 1980, SIAM J. Numer. Anal., 17, 238 [NASA ADS] [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  23. Gear, C. W., & Osterby, O. 1984, ACM Trans. Math. Softw., 10, 23 [Google Scholar]
  24. Gelb, A., & Tadmor, E. 1999, Appl. Comput. Harmon. Anal., 7, 101 [Google Scholar]
  25. Gelb, A., & Tadmor, E. 2002, ESAIM Math. Model. Numer. Anal., 36, 155 [Google Scholar]
  26. Gouzé, J.-L., & Sari, T. 2002, Dyn. Syst., 17, 299 [Google Scholar]
  27. Gregory, J. A., & Delbourgo, R. 1982, IMA J. Numer. Anal., 2, 123 [Google Scholar]
  28. Hochbruck, M., & Ostermann, A. 2010, Acta Numer., 19, 209 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  29. Ibgui, L., Hubeny, I., Lanz, T., & Stehlé, C. 2013, A&A, 549, A126 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  30. Janett, G., & Paganini, A. 2018, ApJ, 857, 91 [NASA ADS] [CrossRef] [Google Scholar]
  31. Janett, G., Carlin, E. S., Steiner, O., & Belluzzi, L. 2017a, ApJ, 840, 107 [NASA ADS] [CrossRef] [Google Scholar]
  32. Janett, G., Steiner, O., & Belluzzi, L. 2017b, ApJ, 845, 104 [NASA ADS] [CrossRef] [Google Scholar]
  33. Janett, G., Steiner, O., & Belluzzi, L. 2018, ApJ, 865, 16 [NASA ADS] [CrossRef] [Google Scholar]
  34. Kunasz, P., & Auer, L. H. 1988, J. Quant. Spectr. Rad. Transf., 39, 67 [Google Scholar]
  35. Kunasz, P. B., & Olson, G. L. 1988, J. Quant. Spectr. Rad. Transf., 39, 1 [Google Scholar]
  36. Landi Degl’Innocenti, E., & Landolfi, M. 2004, in Polarization in Spectral Lines (Dordrecht: Kluwer Academic Publishers), Astrophys. Space Sci. Lib., 307 [Google Scholar]
  37. Landry, C., Caboussat, A., & Hairer, E. 2009, SIAM J. Sci. Comput., 31, 3806 [Google Scholar]
  38. Liu, X.-D., Osher, S., & Chan, T. 1994, J. Comput. Phys., 115, 200 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  39. Llibre, J., & Teixeira, M. A. 1997, Dyn. Syst., 3, 235 [Google Scholar]
  40. Llibre, J., Silva, P. R., & Teixeira, M. A. 2006, J. Dyn. Diff. Equ., 19, 309 [Google Scholar]
  41. Louis, R. E., Bellot Rubio, L. R., Mathew, S. K., & Venkatakrishnan, P. 2009, ApJ, 704, L29 [NASA ADS] [CrossRef] [Google Scholar]
  42. Mallat, S., & Hwang, W. L. 2006, IEEE Trans. Inf. Theor., 38, 617 [Google Scholar]
  43. Malmborg, J., & Bernhardsson, B. 1997, Nonlinear Anal., 30, 337 [Google Scholar]
  44. Mannshardt, R. 1978, Numer. Math., 31, 131 [Google Scholar]
  45. Mao, G., & Petzold, L. 2002, Comput. Math. Appl., 43, 65 [Google Scholar]
  46. Mihalas, D. 1978, Stellar Atmospheres, 2nd edn. (San Francisco: W.H. Freeman and Company) [Google Scholar]
  47. Mihalas, D. 1981, J. Quant. Spectr. Rad. Transf., 25, 145 [NASA ADS] [CrossRef] [Google Scholar]
  48. Mihalas, D., Auer, L. H., & Mihalas, B. R. 1978, ApJ, 220, 1001 [NASA ADS] [CrossRef] [Google Scholar]
  49. Müller, D. A. N., Schlichenmaier, R., Steiner, O., & Stix, M. 2002, A&A, 393, 305 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  50. Oeffner, P., Sonar, T., & Wirz, M. 2013, Appl. Math., 4, 1 [Google Scholar]
  51. Olson, G. L., & Kunasz, P. B. 1987, J. Quant. Spectr. Rad. Transf., 38, 325 [Google Scholar]
  52. Richards, F. 1991, J. Approx. Theory, 66, 334 [Google Scholar]
  53. Shampine, L. F., & Watts, H. A. 1971, Math. Comput., 25, 445 [Google Scholar]
  54. Shu, C.-W. 1998, in Essentially Non-oscillatory and Weighted Essentially Nonoscillatory Schemes for Hyperbolic Conservation Laws, ed. A. Quarteroni (Berlin, Heidelberg: Springer Berlin Heidelberg), 325 [Google Scholar]
  55. Shu, C.-W. 2009, SIAM Rev., 51, 82 [NASA ADS] [CrossRef] [Google Scholar]
  56. Steffen, M. 1990, A&A, 239, 443 [NASA ADS] [Google Scholar]
  57. Steffen, M. 2017, Mem. Soc. Astron. It., 88, 22 [NASA ADS] [Google Scholar]
  58. Steiner, O. 2000, Sol. Phys., 196, 245 [NASA ADS] [CrossRef] [Google Scholar]
  59. Steiner, O., Grossmann-Doerth, U., Knölker, M., & Schüssler, M. 1998, ApJ, 495, 468 [NASA ADS] [CrossRef] [Google Scholar]
  60. Steiner, O., Züger, F., & Belluzzi, L. 2016, A&A, 586, A42 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  61. Štěpán, J., & Trujillo Bueno, J. 2013, A&A, 557, A143 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  62. Sweby, P. K. 1984, SIAM J. Numer. Anal., 21, 995 [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  63. Tscharnuter, W. 1977, A&A, 57, 279 [NASA ADS] [Google Scholar]
  64. Uitenbroek, H. 2001, ApJ, 557, 389 [NASA ADS] [CrossRef] [Google Scholar]
  65. Velechovský, J., Liska, R., & Shashkov, M. 2013, Comput. Fluids, 83, 164 [Google Scholar]
  66. Vernazza, J. E., Avrett, E. H., & Loeser, R. 1981, ApJS, 45, 635 [NASA ADS] [CrossRef] [Google Scholar]
  67. Zhang, Z., & Martin, C. F. 1997, J. Comput. Appl. Math., 87, 359 [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.