====== Anton Arnold ======


===== Info =====

Anton Arnold is Professor at the Institute for Analysis and Scientific Computing, Vienna University of Technology. His research is concerned with the analysis and numerical analysis of partial differential equations. In particular he is interested in the large-time behavior of parabolic and kinetic equations, open quantum systems as well as polymeric fluid flow models. Other topics of his research include open boundary conditions for Schrödinger-type equations as well as numerically efficient WKB-schemes for highly oscillatory problems. 
===== Wigner-specific research =====

  * [[Anton Arnold]], I. Gamba, M.P. Gualdani, S. Mischler, C. Mouhot, C. Sparber, [[https://www.worldscientific.com/doi/abs/10.1142/S0218202512500340|The Wigner-Fokker-Planck equation: stationary states and large time behavior]], Math. Mod. Methods Appl. Sc. **22**, 1250034 (2012)
  * [[Anton Arnold]], J. Carrillo, E. Dhamo, [[https://www.sciencedirect.com/science/article/pii/S0022247X0200327X|On the periodic Wigner-Poisson-Fokker-Planck system]], J. Math. Anal. Appl. **275**, 263 (2002)
  *  [[Anton Arnold]], H. Lange, P.F. Zweifel, [[https://aip.scitation.org/doi/10.1063/1.1318732|A discrete-velocity, stationary Wigner equation]], J. Math. Phys. **41**, 7167 (2000)
  * [[Anton Arnold]], [[Christian Ringhofer]], [[https://epubs.siam.org/doi/abs/10.1137/S003614299223882X?journalCode=sjnaam|An operator splitting method for the Wigner-Poisson problem]], SIAM J. Num. Anal. **33**, 1622 (1996)
  * [[Anton Arnold]], [[Pierre Degond]], P. A. Markowich, and H. Steinrück, [[https://www.sciencedirect.com/science/article/pii/0893965989900190?via%3Dihub|The Wigner-Poisson Problem in a  Crystal]], Appl. Math. Lett. **2**, 187 (1989)
===== Affiliation(s) =====

  * Institute for Analysis and Scientific Computing, TU Wien


===== Additional information =====
  * [[http://www.asc.tuwien.ac.at/~arnold/|TU Wien Profile]]