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Publications

Publications

  1. M.T. Wolfram, Semiconductor inverse dopant profiling from transient measurements , Journal of Computational Electronics, 6(4), 395-444, 2007
  2. M. Burger, R. Pinnau, M.T. Wolfram, On-off-state design of semiconductor doping profiles, Commun. Math. Sci., 6, 1021-1041, 2008
  3. P.A. Markowich, N. Matevosyan, J.F. Pietschmann, M.T. Wolfram, On a parabolic free boundary value problem modeling price formation , Math. Models Methods Appl. Sci., 11(19), 1929-1957, 2009
  4. B. Duering, P.A. Markowich, J.F. Pietschmann, M.T. Wolfram, Boltzmann and Fokker-Planck Equations modelling Opinion Formation in the Presence of Strong Leaders , Proc. Royal Soc. A., 465(2112), 3687-3708, 2009
  5. M. Burger, J.A. Carrillo, M.T. Wolfram, A mixed finite element method for nonlinear diffusion equations , KRM, 3(1), 59-83, 2010
  6. M.T. Wolfram, M. Buger, Z.S. Siwy, Mathematical modeling and simulation of nanopore blocking by precipitation ,J. Phys.: Condens. Matter, 22(45), 2010
  7. M. Burger, N. Matevosyan, M.T. Wolfram, A level set based shape optimization method for an elliptic obstacle problem, M3AS, 21(4), 616-649, 2011
  8. M. Di Francesco, P.A. Markowich, J.F. Pietschmann, M.T. Wolfram, On the Hughes' model of pedestrian flow: The one-dimensional case, JDE, 250(3), 1334-1362, 2011
  9. L.A. Caffarelli, P.A. Markowich, M.T. Wolfram, On a price formation free boundary value model by Lasry & Lions: The Neumann problem, C. R. Acad. Sci. Paris, 349, 841-844, 2011
  10. A. Lachapelle, M.T. Wolfram, On a mean field game approach modeling congestion and aversion in pedestrian crowds, Trans. Res.: Part B: Methodological, 45(10), 1572-1589, 2011
  11. M. Burger, B. Schlake, M.T. Wolfram, Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries, Nonlinearity, 25, 961-990, 2012
  12. D. Brinkman, K. Fellner, P.A. Markowich, M.T. Wolfram, A drift-diffusion reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme, M3AS., 23(5), 2013
  13. M. Burger, J. Haskovec, M.T. Wolfram, Individual based and mean-field modelling of direct aggregation, Physica D: Nonlinear Phenomena, 260, 145-158, 2013
  14. M. Burger, L. Cafferelli, P.A. Markowich, M.T. Wolfram, On a Boltzmann type price formation model, Proc. R. Soc. A, 469(2157), 20130126, 2013
  15. M. Burger, J.F. Pietschmann, M.T. Wolfram, Identification of non-linearities in transport-diffusion models modelling crowded motion, Inverse Problems and Imaging, 7(4), 1157-1182, 2013
  16. J.F. Pietschmann, M.T. Wolfram, M. Burger, C. Trautmann, G. Nguyen, M. Pevarnik, V. Bayer, Z. Siwy Rectification properties of conically shaped nanopores: consequences of miniaturization, Physical Chemistry Chemical Physics, 15, 16917-16926, 2013
  17. M. Burger, M. Di Francesco, P.A. Markowich, M.T. Wolfram, Mean field games with nonlinear mobilities in pedestrian dynamics, Discrete and Dynamical Systems - B, 19(5), 1311-1333, 2014
  18. M. Burger, L. Caffarelli, P.A. Markowich, M.T. Wolfram, On the asymptotic behavior of a Boltzmann-type price formation model, CMS, 12(7), 1353--1361, 2014
  19. D. Gomes, R.M. Velho, M.T. Wolfram, Socio economic applications of finite state mean field games, Phil. Trans. R. Soc. A, 372(2028), 20130405, 2014
  20. B. Duering, M.T. Wolfram, Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation, Proc Royal Soc A 471(2182), 2015
  21. J. Carrillo, S. Martin, M.T. Wolfram, A local version of the Hughes model for pedestrian flow, M3AS 26(4), 671-697, 2016 Arxiv
  22. M. Burger, S. Hittmeir, H. Ranetbauer, M.T. Wolfram, Lane formation by side-stepping, SIAM Math. Anal. 48(2), 981-1005, 2016 Arxiv
  23. M. Burger, A. Lorz, M.T. Wolfram, On a Boltzmann type model for knowledge growth, SIAM J. Appl. Math. 76(5), 1799-1818, 2016 Arxiv
  24. P.A. Markowich, J. Teichmann, M.T. Wolfram, Parabolic free boundary price formation models under market size fluctuations, SIAM MMS 14(4), 1211-1237, 2016 Arxiv
  25. E. Carlini, A. Festa, F. Silva, M.T. Wolfram, A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow, Dynamic Games and Applications, 2016 Arxiv 
  26. J. Carrillo, H. Ranetbauer, M.T. Wolfram, Numerical simulation of continuity equations by evolving diffeomorphisms, J Comput. Phys. 327, 186-202, 2016 Arxiv
  27. M. Burger, A. Lorz, M.T. Wolfram, Existence of balanced growth path solutions to a Boltzmann mean field game model for knowledge growth, KRM, 10(1), 117-140, 2016 Arxiv
  28. M. Bruna, M. Burger, H. Ranetbauer, M.T. Wolfram, Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures, JNLS 27(2), 2017 Arxiv
  29. B. Matejczyk, M. Valisko, M.-T. Wolfram, J.-F. Pietschmann, D. Boda, Multiscale modeling of a rectifying bipolar nanopore: Comparing Poisson-Nernst-Planck to Monte Carlo, J. Chem. Phys. 146, 2017 Arxiv
  30. S. Hittmeir, H. Ranetbauer, C. Schmeiser, M.T. Wolfram, Derivation and analysis of continuum models for crossing pedestrian traffic, M3AS 27, 2017 Arxiv
  31. A. Festa, A. Tosin, M.T. Wolfram, Kinetic description of collision avoidance in pedestrian dynamics by sidestepping, accepted at KRM, 2016.

Conference proceedings

  1. M. Burger, M.T. Wolfram, Inverse dopant profiling for highly doped semiconductor devices,Proceedings of 5th MathMod, Vienna, 2006
  2. M.T. Wolfram, Opinion formation in a heterogenuous society, Proceedings of the Econophys V, India, 2010
  3. M. Buger, M. Di Francesco, P. Markowich, M.T. Wolfram, On a Mean Field Game Optimal Control Approach Modeling Fast Exit Scenarios in Human Crowds, 52nd IEEE Conference on Decision and Control, 3128--3133, 2013.
  4. D. Gomes, R.M. Vehlo, M.T. Wolfram, Dual two state mean field games, 53rd IEEE Conference on Decision and Control, 2014
  5. A. Festa, M.T. Wolfram, Collision avoidance in pedestrian dynamics, submitted, accepted at the 54th IEEE Conference on Decision and Control, 2015.
  6. C. Koutschan, H. Ranetbauer, G. Regensburger, M.T. Wolfram, Symbolic derivation of Mean-Field PDEs from Lattice Based Models, accepted at the SYNASC, 2015.

Submitted

  1. M. Bruna, M. Burger, H. Ranetbauer and M.T. Wolfram, Asymptotic gradient flow structures of a nonlinear Fokker-Planck equations, submitted, 2017.