Papers

Education


Refereed Publications

  1. J.A. Rossmanith. High-order discontinuous Galerkin finite element methods with globally divergence-free constrained transport for ideal MHD. submitted.
    (Download paper from arxiv.org)
  2. A.J. Christlieb, J.A. Rossmanith, and Q. Tang. Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. submitted.
    (Download paper from arxiv.org)
  3. E.A. Johnson and J.A. Rossmanith. Outflow positivity limiting for hyperbolic conservation laws. Part I: Framework and recipe. submitted.
    (Download paper from arxiv.org)
  4. Y. Cheng and J.A. Rossmanith. A class of quadrature-based moment-closure methods with application to the Vlasov-Poisson-Fokker-Planck system in the high-field limit. accepted.
    (Download paper from arxiv.org)
  5. C. Helzel, J.A. Rossmanith, and B. Taetz. A high-order unstaggered constrained-transport method for the three dimensional ideal magnetohydrodynamic equations based on the method of lines. SIAM J. Sci. Comput., 35: A623 -A651, 2013.
    (Download paper from arxiv.org)
  6. J.A. Rossmanith and D.C. Seal. A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations. J. Comp. Phys., 230: 6203--6232, 2011.
    (Download paper from arxiv.org)
  7. C. Helzel, J.A. Rossmanith, and B. Taetz. An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations. J. Comp. Phys., 230: 3803–3829, 2011.
    (Download paper from arxiv.org)
  8. E.A. Johnson and J.A. Rossmanith. Ten-moment two-fluid plasma model agrees well with PIC/Vlasov in GEM problem. In Proceedings of the 13th International Conference on Hyperbolic Problems, 2010.
    (Download paper from arxiv.org)
  9. E.A. Johnson and J.A. Rossmanith. Collisionless magnetic reconnection in a five-moment two-fluid electron-positron plasma. Hyperbolic problems: theory, numerics and applications, Proc. Sympos. Appl. Math., 67: 683–692, 2009.
    (Download paper from arxiv.org)
  10. J.A. Rossmanith. A class of residual distribution schemes and their relation to relaxation systems. J. Comp. Phys., 227: 9527--9553, 2008.
    (Download paper from arxiv.org)
  11. J.A. Rossmanith. Residual distribution schemes for hyperbolic balance laws in generalized coordinates. Numerical Modeling of Space Plasma Flows, ASP Conference Series, Vol. 359: 213--219, 2006.
    (Download paper from ASP)
  12. J.A. Rossmanith. An unstaggered, high-resolution constrained transport method for magnetohydrodynamic flows. SIAM J. Sci. Comp., 28:1766--1797, 2006.
    (Download from siam.org)
  13. J.A. Rossmanith. A wave propagation method for hyperbolic systems on the sphere. J. Comp. Phys., 213: 629--658, 2006.
    (Download from sciencedirect.com)
  14. J.A. Rossmanith. High-order residual distribution schemes for steady 1D relativistic hydrodynamics. In Hyperbolic Problems: Theory, Numerics, and Applications II. F. Asakura, ed., Yokohama Publishers, 259-266, 2006.
    (Download preprint)
  15. K. Murawski, M. Selwa, J. A. Rossmanith. Numerical simulations of vertical oscillations of a curved coronal loop. Solar Physics, 231:87 - 94, 2005.
    (Download from springerlink.com)
  16. J.A. Rossmanith. A high-resolution constrained transport method with adaptive mesh refinement for magnetohydrodynamic flows. Comp. Phys. Comm., 164:128-133, 2004.
    (Download from sciencedirect.com)
  17. A.J. Christlieb, J.A. Rossmanith, and P. Smereka. The Broadwell model in a thin channel. Comm. Math. Sci., 2: 443-476, 2004.
    (Download from intlpress.com)
  18. J.A. Rossmanith, D.S. Bale, and R.J. LeVeque. A wave propagation algorithm for hyperbolic systems on curved manifolds. J. Comp. Phys., 199: 631-662, 2004.
    (Download from sciencedirect.com)
  19. D.S. Bale, R.J. LeVeque, S. Mitran, and J.A. Rossmanith. A wave propagation method for conservation laws and balance laws with spatially varying flux functions. SIAM J. Sci. Comp., 24: 955-978, 2003.
    (Download from siam.org)
  20. R.J. LeVeque and J.A. Rossmanith. A wave propagation algorithm for the solution of PDEs on the surface of a sphere. International Series of Numerical Mathematics on Hyperbolic Problems, 141: 643-652, 2001.
  21. T. Hezel, B. Krevet, H.O. Moser, J.A. Rossmanith, R. Rossmanith and Th. Schneider. A superconductive undulator with a period length of 3.8 mm. Journal of Synchrotron Radiation, 5: 448-450, 1998.


Other Publications

  1. E.A. Johnson and J.A. Rossmanith. Simulation of fast magnetic reconnection using a two-fluid model of collisionless pair plasma without anomalous resistivity In Proceedings of the 19th Annual Wisconsin Space Conference, 2009.
    (Download paper from arxiv.org)
  2. J.A. Rossmanith. Residual distribution schemes for Bondi-Hoyle accretion. In Proceedings in Applied Mathematics and Mechanics, International Congress on Industrial and Applied Mathematics, 2007.
  3. A.J. Christlieb, J.A. Rossmanith, and P. Smereka. The limiting behavior of the Broadwell model: Flow in a thin channel. In Proceedings of the 24th International Symposium on Rarefied Gas Dynamics, Bari, Italy, July 2004.
  4. J.A. Rossmanith. A wave propagation method with constrained transport for the shallow water magnetohydrodynamic equations. Hyperbolic Problems: Theory, Numerics, Applications. T.Y. Hou and E. Tadmor, eds., Springer-Verlag, 851--860, 2003.
  5. H. Morris, A. Hodge, M. Kamali, et al. Defect analysis using depth from defocus and shape from focus methods. In Report of the Fourth PIMS Graduate Industrial Math Modeling Camp, University of Victoria, 2001.
  6. C.S. Bohun, T. Bouhennache, L. Fairbairn, et al. Modelling InSb Czochralski growth. In Proceedings of the fifth PIMS Industrial Problem Solving Workshop, University of Washington, 2001.
  7. J.A. Rossmanith. 2-D Numerical field and trajectory calculations of the ANKA superconductive micro-undulator. ANKA Technical Note, BES-06/97, Forschungszentrum Karlsruhe.