Prof. Dr. Christiane Helzel

Christiane Helzel

Professor for Numerical Mathematics

Department of Mathematics
Ruhr-University Bochum

e-mail: christiane.helzel[at]rub.de



Research Projects

I am currently a member of the Research Unit Instabilities, Turbulence and Transport in Cosmic Magnetic Fields

Selected Publications

  • C. Helzel, J.A. Rossmanith, B. Taetz, A high-order unstaggered constrained transport method for the 3d ideal magnetohydrodynamic equations based on the method of lines, arXiv:2203.3760

  • M.J. Berger, C. Helzel, A simplified h-box method for embedded boundary grids, SIAM J. Sci. Comput., 34: A861--A888, 2012


  • C. Helzel, J.A. Rossmanith, B. Taetz, An unstaggered constrained transport method for the 3d ideal magnetohydrodynamic equations, J. Comput. Phys., 230: 3803-3829, 2011

  • M.J. Berger, D. Calhoun, C. Helzel, R.J. LeVeque, A logically rectangular grid on the sphere with adaptive refinement, Phil. Trans. R. Soc. A 367: 4483--4496, 2009.

  • D. Calhoun, C. Helzel, A finite volume method for solving parabolic equations on logically Cartesian curved surface meshes, SIAM J. Sci. Comput., 31: 4066--4099, 2009.

  • C. Helzel and R.J. LeVeque, Numerical Approximation of Stiff Reacting Flow, to appear in vol. 24, Quad. Mat., Dept. Math., Seconda Univ. Napoli, Caserta, 2009.

  • D. Calhoun, C. Helzel and R.J. LeVeque, Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains, SIAM Review, 50: 723--752, 2008.

  • C. Helzel and F. Otto, Multiscale simulations for suspensions of rod-like molecules, J. Comput. Phys., 216: 52--75, 2006.

  • C. Helzel, M.J. Berger and R.J. LeVeque, A high-resolution rotated grid method for conservation laws with embedded geometries, SIAM J. Sci. Comput., 26: 785--809, 2005.

  • M.J. Berger, C. Helzel and R.J. LeVeque, h-box methods for the approximation of conservation laws on irregular grids, SIAM J. Numer. Anal., 41: 893-918, 2003.

  • C. Helzel, R.J. LeVeque and G. Warnecke, A modified fractional step method for the accurate approximation of detonation waves, SIAM J. Sci. Comput., 22: 1489-1510, 2000.

  • C. Helzel and K. Petras, Numerical estimation of projection constants, Numer. Funct. Anal. and Optimiz. 18 (5&6), 555-566 (1997).

Biographical Sketch

  • 04/2007 - present: Associate professor (W2) for numerical mathematics, Department of Mathematics, Ruhr-University-Bochum.

  • 2003-2007: PostDoc, Department of Applied Mathematics, Bonn University.

  • 01/2001-12/2002: Research Associate, Courant Institute of Mathematical Sciences, NYU, NewYork, advisor: Prof. Marsha J. Berger.

  • 2000: PhD, Magdeburg University, advisor: Prof. Gerald Warnecke.