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Alexander Ostermann
Alexander Ostermann
Professor of Mathematics, University of Innsbruck
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Exponential integrators
M Hochbruck, A Ostermann
Acta Numerica 19, 209-286, 2010
13962010
Explicit exponential Runge--Kutta methods for semilinear parabolic problems
M Hochbruck, A Ostermann
SIAM Journal on Numerical Analysis 43 (3), 1069-1090, 2005
5592005
Exponential Rosenbrock-type methods
M Hochbruck, A Ostermann, J Schweitzer
SIAM Journal on Numerical Analysis 47 (1), 786-803, 2009
2942009
Exponential Runge–Kutta methods for parabolic problems
M Hochbruck, A Ostermann
Applied Numerical Mathematics 53 (2-4), 323-339, 2005
2552005
Runge-Kutta methods for parabolic equations and convolution quadrature
C Lubich, A Ostermann
mathematics of computation 60 (201), 105-131, 1993
2351993
Multi-grid dynamic iteration for parabolic equations
C Lubich, A Ostermann
BIT Numerical Mathematics 27, 216-234, 1987
2311987
Geometry by Its History
A Ostermann
Springer, 2012
1622012
Runge-Kutta approximation of quasi-linear parabolic equations
C Lubich, A Ostermann
Mathematics of computation 64 (210), 601-627, 1995
1471995
Implementation of exponential Rosenbrock-type integrators
M Caliari, A Ostermann
Applied Numerical Mathematics 59 (3-4), 568-581, 2009
1432009
Exponential splitting for unbounded operators
E Hansen, A Ostermann
Mathematics of computation 78 (267), 1485-1496, 2009
1352009
Linearly implicit time discretization of non-linear parabolic equations
C Lubich, A Ostermann
IMA journal of numerical analysis 15 (4), 555-583, 1995
1301995
High order splitting methods for analytic semigroups exist
E Hansen, A Ostermann
BIT Numerical Mathematics 49 (3), 527-542, 2009
1252009
A class of explicit exponential general linear methods
A Ostermann, M Thalhammer, WM Wright
BIT Numerical Mathematics 46, 409-431, 2006
1122006
Low regularity exponential-type integrators for semilinear Schrödinger equations
A Ostermann, K Schratz
Foundations of Computational Mathematics 18, 731-755, 2018
1092018
Runge-Kutta methods for partial differential equations and fractional orders of convergence
A Ostermann, M Roche
Mathematics of computation 59 (200), 403-420, 1992
1061992
Exponential multistep methods of Adams-type
M Hochbruck, A Ostermann
BIT Numerical Mathematics 51, 889-908, 2011
1032011
Consistent tangent operators for constitutive rate equations
W Fellin, A Ostermann
International Journal for Numerical and Analytical Methods in Geomechanics …, 2002
1012002
Explicit exponential Runge–Kutta methods of high order for parabolic problems
VT Luan, A Ostermann
Journal of Computational and Applied Mathematics 256, 168-179, 2014
882014
Rosenbrock methods for partial differential equations and fractional orders of convergence
A Ostermann, M Roche
SIAM journal on numerical analysis 30 (4), 1084-1098, 1993
801993
The Leja method revisited: backward error analysis for the matrix exponential
M Caliari, P Kandolf, A Ostermann, S Rainer
SIAM Journal on Scientific Computing 38 (3), A1639-A1661, 2016
792016
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