Teaching

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WS 2020/21

• Numerische Mathematik 1
• Einführung in das mathematische Arbeiten, Mathematische Software und Programmieren
• Mathematik für Studierende der Chemie I

Publications

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• The Leja method revisited: backward error analysis for the matrix exponential,
  M. Caliari, P. Kandolf, A. Ostermann, S. Rainer
  SIAM Journal on Scientific Computation, 38 (3), A1639-A1661 (2016)

• A residual based error estimate for Leja interpolation of matrix functions,
  P. Kandolf, A. Ostermann, S. Rainer
  Linear Algebra and its Applications, 450 (0), 157-173 (2014)

• Comparision of software computing the action of the matrix exponential,
  M. Caliari, P. Kandolf, A. Ostermann, S. Rainer
  BIT Numer. Math. 54 (1), 113-128 (2014)

• Exponential integrators,
  A. Ostermann, S. Rainer
  In: Scientific Computing @ uibk (M. Barden, A. Ostermann, eds.)
  innsrbuck university press (IUP) (2013)
  ISBN 978-3-902936-19-6

• A Meshfree splitting method for soliton dynamics in nonlinear Schrödinger equations,
  M. Caliari, A. Ostermann, S. Rainer
  In: Meshfree Methods for Partial Differential Equations VI (M. Griebel and M.A. Schweitzer, eds.)
  Lect. Notes Comput. Sci. Eng. 89 (2013)
  ISBN 978-3-642-32978-4

• GSGPEs: a MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations,
  M. Caliari, S. Rainer
  Comput. Phys. Commun. (2013)

• Meshfree exponential integrators,
  M. Caliari, A. Ostermann, S. Rainer
  SIAM J. Sci. Comput. 35 (2013)

• Meshfree Integrators,
  M. Caliari, A. Ostermann, S. Rainer
  Oberwolfach Reports (2011)

• A minimisation approach for computing the ground state of Gross-Pitaevskii systems,
  M. Caliari, A. Ostermann, S. Rainer, M. Thalhammer
  J. Comput. Phys. (2009)