Uni Tuebingen
Numerical Analysis Groups
  Home    Members    Teaching    Theses    Preprints    Publications    Links  

Ananta Kumar Majee

Mathematisches Institut
Universität Tübingen
Auf der Morgenstelle 10
D-72076 Tübingen


Room C2A32, building C
phone: +49 7071 29 76073
mail: majee (at) na.uni-tuebingen.de

Office hours

Interests

  • Well-posedness theory for stochastic perturbation of nonlinear balance laws in entropy solution framework
  • Stochastic control in Ferromagnetism
  • Numerical analysis and its quantitative properties (convergence, rate of convergence)
  • Large deviation principle for stochastic PDEs

    • Preprints and Publications

  • Stochastic conservation laws: Weak-in-time formulation and strong entropy condition, with Imran H. Biswas: Journal of Functional Analysis 267 (2014) 2199-2252. pdf
  • Conservation laws driven by Lévy white noise, with Imran H. Biswas and Kenneth H. Karlsen: Journal of Hyperbolic Differential Equation: Vol. 12, No. 3 (2015) 581–654. pdf
  • Continuous dependence estimate for conservation laws with Lévy noise, with Imran H. Biswas and Ujjwal Koley: Journal of Differential Equations 259 (2015) 4683-4706. pdf
  • Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Lévy noise, with Ujjwal Koley and Guy Vallet: Stochastics and Partial Differential Equations: Analysis and Computations 5 (2017), no. 2, 145-191. pdf
  • A finite difference scheme for conservation laws driven by Lévy noise, with Ujjwal Koley and Guy Vallet: IMA Journal of Numerical Analysis (2018) 38, 998-1050. pdf
  • Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise, with Andreas Prohl: Computational Methods in Applied Mathematics 2018; 18(2): 297-311. (to appear). pdf
  • On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Lévy noise, with Imran H. Biswas and Guy Vallet, Advances in Nonlinear Analysis (to appear). pdf
  • Stochastic optimal control in Ferromagnetism, with Thomas Dunst, Andreas Prohl and Guy Vallet, submitted. pdf
  • Convergence of a flux-splitting finite volume scheme for conservation laws driven by Lévy noise: Applied mathematics and computation (to appear). pdf
  • Convergence of a fully discrete monotone finite volume scheme for Lévy driven balance laws, submitted. pdf

    • In Preparation

  • Dynamic Programming for Finite Ensembles of Nanomagnetic Particles, with Max Jensen and Andreas Prohl.

    • Teaching assistant

  • `Optimierung mit Differentialgleichungen', October, 2016 - February, 2017 at Mathematisches Institut, U. Tübingen.
  • Seminar (`Nichtlineare Optimierung'), October, 2016 - February, 2017 at Mathematisches Institut, U. Tübingen.
  • `Nichtlineare Optimierung', April- July, 2016 at Mathematisches Institut, U. Tübingen.
  • Proseminar (`Stochastische Modelle'), April- July, 2016 at Mathematisches Institut, U. Tübingen.
  • `Stochastische Differentialgleichungen', October, 2015 - February, 2016 at Mathematisches Institut, U. Tübingen.
  • Master course on `Probability Theory', January- May, 2013 at TIFR-CAM.