Dr. Stefan Rainer
Phone:
+43 512 507 53813
E-Mail:
stefan.rainer@uibk.ac.at
Address:
Technikerstraße 13, Office 708, A-6020 Innsbruck
Teaching
WS 2020/21
- Numerische Mathematik 1
- Einführung in das mathematische Arbeiten, Mathematische Software und Programmieren
- Mathematik für Studierende der Chemie I
Publications
-
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)