Publications
My publications are divided into three categories: books, articles, and miscellanea
Some bibliometric indicators:
GoogleScholar, AMS MathSciNet (requires licence), ORCID, ResearchGate, Web of Science, Elsevier Scopus, EMS zbMATH
Web of Science ResearcherID: https://www.webofscience.com/wos/author/record/D-1697-2015
Open Researcher and Contributor ID: https://orcid.org/0000-0003-0194-2481
Books
M. Oberguggenberger, A. Ostermann
Analysis for Computer Scientists. 2nd edition, Springer International Publishing (2018)
DOI 10.1007/978-3-319-91155-7
ISBN 978-3-319-91154-0
A. Ostermann, G. Wanner
幾何教程 下 (Geometry by its History, Japanese translation by Yukihiro Kanie, part II). Maruzen, Tokyo (2017)
ISBN 978-4-621-30212-5
A. Ostermann, G. Wanner
幾何教程 上 (Geometry by its History, Japanese translation by Yukihiro Kanie, part I). Maruzen, Tokyo (2017)
ISBN 978-4-621-30131-9
M. Barden, A. Ostermann (eds.)
Scientific Computing @ uibk. innsbruck university press (IUP), Innsbruck (2013)
ISBN 978-3-902936-19-6
A. Ostermann, G. Wanner
Geometry by Its History. Springer-Verlag, Berlin Heidelberg (2012)
DOI 10.1007/978-3-642-29163-0
ISBN 978-3-642-29162-3
M. Oberguggenberger, A. Ostermann
Analysis for Computer Scientists. Springer-Verlag, London (2011)
DOI 10.1007/978-0-85729-446-3
ISBN 978-0-85729-445-6
M. Oberguggenberger, A. Ostermann
Analysis für Informatiker. 2nd edition, Springer-Verlag, Berlin (2009)
DOI 10.1007/978-3-540-89823-8
ISBN 978-3-540-89822-1
M. Oberguggenberger, A. Ostermann
Analysis für Informatiker. Springer-Verlag, Berlin (2005)
DOI 10.1007/3-540-27564-9
ISBN 3-540-21991-9
Articles
M. Caliari, F. Cassini, L. Einkemmer, A. Ostermann
Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations
SIAM J. Sci. Comput. 46, A906-A928 (2024)
DOI 10.1137/23M1562056
G. Medicus, M. Pouragha, A. Ostermann, W. Fellin
On the friction dependency of the stress Lode angle.
Int. J. Numer. Anal. Meth. Geomech. 48, 1001-1017 (2024)
DOI 10.1002/nag.3669
A. Ostermann, F. Rousset, K. Schratz
Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces.
J. Eur. Math. Soc. 25, 3913-3952 (2023)
DOI 10.4171/JEMS/1275
L. Einkemmer, A. Ostermann, C. Scalone
A robust and conservative dynamical low-rank algorithm.
J. Comput. Phys. 484, Article 112060 (2023)
DOI 10.1016/j.jcp.2023.112060
A. Ostermann, F. Saedpanah, N. Vaisi
Explicit exponential Runge-Kutta methods for semilinear integro-differential equations.
SIAM J. Numer. Anal. 61, 1405-1425 (2023)
DOI 10.1137/22M1504056
D. Phan, A. Ostermann
Exponential integrators for second-order in time partial differential equations.
J. Sci. Comput. 93, Article 58 (2022)
DOI 10.1007/s10915-022-02018-z
A. Ostermann, Y. Wu, F. Yao
A second order low-regularity integrator for the nonlinear Schrödinger equation.
Advances in Continuous and Discrete Models: Theory and Applications 2022, Article 23 (2022)
DOI 10.1186/s13662-022-03695-8
A. Ostermann, F. Yao
A fully discrete low-regularity integrator for the nonlinear Schrödinger equation.
J. Sci. Comput. 91, Article 9 (2022)
DOI 10.1007/s10915-022-01786-y
M. Caliari, F. Cassini, L. Einkemmer, A. Ostermann, F. Zivcovich
A μ-mode integrator for solving evolution equations in Kronecker form.
J. Comput. Phys. 455, Article 110989 (2022)
DOI 10.1016/j.jcp.2022.110989
L. Einkemmer, A. Ostermann, M. Residori
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions.
Numer. Math. 150, 105-135 (2022)
DOI 10.1007/s00211-021-01252-1
A. Ostermann, F. Rousset, K. Schratz
Error estimates at low regularity of splitting schemes for NLS.
Math. Comp. 91, 169-182 (2022)
DOI 10.1090/mcom/3676
H.-Y. Jian, T.-Z. Huang, A. Ostermann, X.-M. Gu, Y.-L. Zhao
Fast IIF-WENO method on non-uniform meshes for nonlinear space-fractional convection-diffusion-reaction equations.
J. Sci. Comput. 89, Article 13 (2021)
DOI 10.1007/s10915-021-01622-9
Y.-L. Zhao, A. Ostermann, X.-M. Gu
A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations.
J. Comput. Phys. 446, Article 110652 (2021)
DOI 10.1016/j.jcp.2021.110652
L. Einkemmer, A. Ostermann, M. Residori
An exponential integrator / WENO discretization for sonic-boom simulation on modern computer hardware.
Comput. Phys. Commun. 269, Article 108133 (2021)
DOI 10.1016/j.cpc.2021.108133
A. Ostermann, F. Rousset, K. Schratz
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity.
Found. Comput. Math. 21, 725-765 (2021)
DOI 10.1007/s10208-020-09468-7
H.-Y. Jian, T.-Z. Huang, A. Ostermann, X.-M. Gu, Y.-L. Zhao
Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods.
Appl. Math. Comput. 408, Article 126360 (2021)
DOI 10.1016/j.amc.2021.126360
Y.-L. Zhao, X.-M. Gu, A. Ostermann
A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps.
J. Sci. Comput. 88, Article 11 (2021)
DOI 10.1007/s10915-021-01527-7
M. Caliari, L. Einkemmer, A. Moriggl, A. Ostermann
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs.
J. Comput. Phys. 437, Article 110289 (2021)
DOI 10.1016/j.jcp.2021.110289
Y.-L. Zhao, M. Li, A. Ostermann, X.-M. Gu
An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation.
BIT Numer. Math. 61, 1061-1092 (2021)
DOI 10.1007/s10543-021-00843-6
L. Einkemmer, A. Ostermann, M. Residori
A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions.
J. Comput. Appl. Math. 385, Article 113240 (2021)
DOI 10.1016/j.cam.2020.113240
A. Kofler, T. Levajković, H. Mena, A. Ostermann
A splitting/polynomial chaos expansion approach for stochastic evolution equations.
J. Evol. Equ. 21, 1345-1381 (2021)
DOI 10.1007/s00028-020-00627-5
A. Ostermann, C. Su
A Lawson-type exponential integrator for the Korteweg-de Vries equation.
IMA J. Numer. Anal. 40, 2399-2414 (2020)
DOI 10.1093/imanum/drz030
M. Hochbruck, J. Leipold, A. Ostermann
On the convergence of Lawson methods for semilinear stiff problems.
Numerische Mathematik 145, 553-580 (2020)
DOI 10.1007/s00211-020-01120-4
S. Arzbacher, N. Rahmatian, A. Ostermann, T. Gasser, T. Loerting, J. Petrasch
Co-deposition of gas hydrates by pressurized thermal evaporation.
Phys. Chem. Chem. Phys. 22, 4266-4275 (2020)
DOI 10.1039/C9CP04735B
M. Bode, W. Fellin, D. Mašín, G. Medicus, A. Ostermann
An intergranular strain concept for material models formulated as rate equations.
Int. J. Numer. Anal. Meth. Geomech. 44, 1003-1018 (2020)
DOI 10.1002/nag.3043
L. Einkemmer, A. Ostermann, C. Piazzola
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction.
J. Comput. Phys. 403, Article 109063 (2020)
DOI 10.1016/j.jcp.2019.109063
C. Piazzola (joint with L. Einkemmer, A. Ostermann)
A dynamical low-rank integrator for the Vlasov-Maxwell equations.
Oberwolfach Reports 16, 379-381 (2019)
DOI 10.4171/OWR/2019/5
M. Residori (joint with L. Einkemmer, A. Ostermann)
A pseudo-spectral approach for the linearized Korteweg-de Vries equation.
Oberwolfach Reports 16, 382-384 (2019)
DOI 10.4171/OWR/2019/5
K. Schratz (joint with M. Knöller, A. Ostermann, F. Rousset)
Low regularity integrators for the Schrödinger equation.
Oberwolfach Reports 16, 389-392 (2019)
DOI 10.4171/OWR/2019/5
A. Ostermann, C. Su
Two exponential-type integrators for the "good" Boussinesq equation.
Numer. Math. 143, 683-712 (2019)
DOI 10.1007/s00211-019-01064-4
M. Knöller, A. Ostermann, K. Schratz
A Fourier integrator for the cubic nonlinear Schrödinger equation with rough initial data.
SIAM J. Numer. Anal. 57, 1967-1986 (2019)
DOI 10.1137/18M1198375
A. Ostermann, C. Piazzola, H. Walach
Convergence of a low-rank Lie-Trotter splitting for stiff matrix differential equations.
SIAM J. Numer. Anal. 57, 1947-1966 (2019)
DOI 10.1137/18M1177901
S. Arzbacher, N. Rahmatian, A. Ostermann, B. Massani, T. Loerting, J. Petrasch
Macroscopic defects upon decomposition of CO2 clathrate hydrate crystals.
Phys. Chem. Chem. Phys. 21, 9694-9708 (2019)
DOI 10.1039/c8cp07871h
L. Einkemmer, A. Ostermann
A comparison of boundary correction methods for Strang splitting.
Discrete Contin. Dyn. Syst. Ser. B 23, 2641-2660 (2018)
DOI 10.3934/dcdsb.2018081
H. Mena, A. Ostermann, L.-M. Pfurtscheller, C. Piazzola
Numerical low-rank approximation of matrix differential equations.
J. Comput. Appl. Math. 340, 602-614 (2018)
DOI 10.1016/j.cam.2018.01.035
A. Ostermann, K. Schratz
Low regularity exponential-type integrators for semilinear Schrödinger equations.
Found. Comput. Math. 18, 731-755 (2018)
DOI 10.1007/s10208-017-9352-1
L. Einkemmer, A. Ostermann
A split step Fourier / discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation.
Appl. Math. Comput. 334, 311-325 (2018)
DOI 10.1016/j.amc.2018.04.013
N. Auer, L. Einkemmer, P. Kandolf, A. Ostermann
Magnus integrators on multicore CPUs and GPUs.
Comput. Phys. Commun. 228, 115-122 (2018)
DOI 10.1016/j.cpc.2018.02.019
L. Einkemmer, M. Moccaldi, A. Ostermann
Efficient boundary corrected Strang splitting.
Appl. Math. Comput. 332, 76-89 (2018)
DOI 10.1016/j.amc.2018.03.006
R. Altmann, A. Ostermann
Splitting methods for constrained diffusion-reaction systems.
Comput. Math. Appl. 74, 962-976 (2017)
DOI 10.1016/j.camwa.2017.02.044
M. Gasteiger, L. Einkemmer, A. Ostermann, D. Tskhakaya
Alternating direction implicit type preconditioners for the steady state inhomogeneous Vlasov equation.
J. Plasma Phys. 83, Article 705830107 (2017)
DOI 10.1017/S0022377817000101
M. Caliari, A. Ostermann, C. Piazzola
A splitting approach for the magnetic Schrödinger equation.
J. Comput. Appl. Math. 316, 74-85 (2017)
DOI 10.1016/j.cam.2016.08.041
L. Einkemmer, A. Ostermann
Overcoming order reduction in diffusion-reaction splitting. Part 2: oblique boundary conditions.
SIAM J. Sci. Comput. 38, A3741–A3757 (2016)
DOI 10.1137/16M1056250
E. Hansen, A. Ostermann
High-order splitting schemes for semilinear evolution equations.
BIT Numer. Math. 56, 1303-1316 (2016)
DOI 10.1007/s10543-016-0604-2
M. Prugger, L. Einkemmer, A. Ostermann
Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver.
Parallel Computing 60, 22-40 (2016)
DOI 10.1016/j.parco.2016.11.001
K. Schratz (joint with A. Ostermann)
Derivation of a low regularity exponential-type integrator for semilinear Schrödinger equations with polynomial nonlinearities.
Oberwolfach Reports 13, 928-931 (2016)
DOI 10.4171/OWR/2016/18
A. Ostermann, G. Spielberger, A. Tributsch
Detecting structural changes with ARMA processes.
Math. Comput. Model. Dyn. Syst. 22, 524-538 (2016)
DOI 10.1080/13873954.2016.1213752
S. Arzbacher, J. Petrasch, A. Ostermann, T. Loerting
Micro-tomographic investigation of ice and clathrate formation and decomposition under thermodynamic monitoring.
Materials 9, Article 668 (2016)
DOI 10.3390/ma9080668
J. Zhao, R. Zhan, A. Ostermann
Stability analysis of explicit exponential integrators for delay differential equations.
Appl. Numer. Math. 109, 96-108 (2016)
DOI 10.1016/j.apnum.2016.07.001
M. Caliari, P. Kandolf, A. Ostermann, S. Rainer
The Leja method revisited: backward error analysis for the matrix exponential.
SIAM J. Sci. Comput. 38, A1639-A1661 (2016)
DOI 10.1137/15M1027620
E. Hansen, A. Ostermann, K. Schratz
The error structure of the Douglas-Rachford splitting method for stiff linear problems.
J. Comput. Appl. Math. 303, 140-145 (2016)
DOI 10.1016/j.cam.2016.02.037
V.T. Luan, A. Ostermann
Parallel exponential Rosenbrock methods.
Comput. Math. Appl. 71, 1137-1150 (2016)
DOI 10.1016/j.camwa.2016.01.020
C.-H. Chen, W. Fellin, A. Ostermann, F. Schranz
Discussion on "Numerical study on finite element implementation of hypoplastic models" by Yutang Ding, Wenxiong Huang, Daichao Sheng, and Scott W. Sloan [Comput. Geotech. 68 (2015) 78-90].
Computers and Geotechnics 71, 276-277 (2016)
DOI 10.1016/j.compgeo.2015.09.005
C. Knapp, A. Kendl, A. Koskela, A. Ostermann
Splitting methods for time integration of trajectories in combined electric and magnetic fields.
Physical Review E 92, Article 063310 (2015)
DOI 10.1103/PhysRevE.92.063310
A. Ostermann
Exponential integrators.
In: Encyclopedia of Applied and Computational Mathematics (B. Engquist, ed.),
Springer-Verlag, Berlin Heidelberg (2015), 468-472.
ISBN 978-3-540-70528-4 (print); 978-3-540-70529-1 (ebook)
DOI 10.1007/978-3-540-70529-1_112
L. Einkemmer, A. Ostermann
A splitting approach for the Kadomtsev-Petviashvili equation.
J. Comput. Phys. 299, 716-730 (2015)
DOI 10.1016/j.jcp.2015.07.024
T. Hell, A. Ostermann, M. Sandbichler
Modification of dimension splitting methods - overcoming the order reduction due to corner singularities.
IMA J. Numer. Anal. 35, 1078-1091 (2015)
DOI 10.1093/imanum/dru030
L. Einkemmer, A. Ostermann
Overcoming order reduction in diffusion-reaction splitting. Part 1: Dirichlet boundary conditions.
SIAM J. Sci. Comput. 37, A1577-A1592 (2015)
DOI 10.1137/140994204
S. Arzbacher, P. Amann, B. Weidenfeller, T. Loerting, A. Ostermann, J. Petrasch
Tomography based numerical simulation of the demagnetizing field in soft magnetic composites.
J. Appl. Phys. 117, Article 163905 (2015)
DOI 10.1063/1.4917490
L. Einkemmer, A. Ostermann
On the error propagation of semi-Lagrange and Fourier methods for advection problems.
Comput. Math. Appl. 69, 170-179 (2015)
DOI 10.1016/j.camwa.2014.12.004
E. Faou, A. Ostermann, K. Schratz
Analysis of exponential splitting methods for inhomogeneous parabolic equations.
IMA J. Numer. Anal. 35, 161-178 (2015)
DOI 10.1093/imanum/dru002
A. Ostermann, G. Spielberger
Comparison of AR and ARMA processes in structural health monitoring.
Proc. Appl. Math. Mech. 14, 765-766 (2014)
DOI 10.1002/pamm.201410365
D.A. Hipp, M. Hochbruck, A. Ostermann
An exponential integrator for non-autonomous parabolic problems.
Electron. Trans. Numer. Anal. 41, 497-511 (2014)
A. Koskela, A. Ostermann
A moment-matching Arnoldi iteration for linear combinations of φ functions.
SIAM J. Matrix Anal. & Appl. 35, 1344-1363 (2014)
DOI 10.1137/130945156
L. Einkemmer, A. Ostermann
A comparison of triple jump and Suzuki fractals for obtaining high order from an almost symmetric Strang splitting scheme.
Oberwolfach Reports 11, 805-808 (2014)
DOI 10.4171/OWR/2014/14
V.T. Luan, A. Ostermann
Stiff order conditions for exponential Runge-Kutta methods of order five.
In: Modeling, Simulation and Optimization of Complex Processes - HPSC 2012 (H.G. Bock et al., eds.)
Springer International Publishing (2014), 133-143
ISBN 978-3-319-09062-7 (print), 978-3-319-09063-4_11 (online)
DOI 10.1007/978-3-319-09063-4_11
T. Hell, A. Ostermann
Compatibility conditions for Dirichlet and Neumann problems of Poisson's equation on a rectangle.
J. Math. Anal. Appl. 420, 1005-1023 (2014)
DOI 10.1016/j.jmaa.2014.06.034
D. Unteregger, G. Hofstetter, M. Haltmeier, A. Ostermann
Parameter identification for an advanced material model for intact rock.
In: Numerical Methods in Geotechnical Engineering (M.A. Hicks, R.B.J. Brinkgreve, A. Rohe, eds.),
CRC Press (2014), 215-220
ISBN 978-1-138-00146-6 (print); 978-1-315-75182-5 (ebook)
DOI 10.1201/b17017-40
L. Einkemmer, A. Ostermann
A strategy to suppress recurrence in grid-based Vlasov solvers.
Eur. Phys. J. D 68, 197 (2014)
DOI 10.1140/epjd/e2014-50058-x
P. Kandolf, A. Ostermann, S. Rainer
A residual based error estimate for Leja interpolation of matrix functions.
Linear Algebra Appl. 456, 157-173 (2014)
DOI 10.1016/j.laa.2014.04.023
L. Einkemmer, A. Ostermann
An almost symmetric Strang splitting scheme for nonlinear evolution equations.
Comput. Math. Appl. 67, 2144-2157 (2014)
DOI 10.1016/j.camwa.2014.02.027
W. Fellin, A. Ostermann
Constitutive models in finite element codes.
In: Computational Engineering (G. Hofstetter, ed.),
Springer International Publishing (2014), 1-42.
ISBN 978-3-319-05932-7 (print) 978-3-319-05933-4 (online)
DOI 10.1007/978-3-319-05933-4_1
L. Einkemmer, A. Ostermann
An almost symmetric Strang splitting scheme for the construction of high order composition methods.
J. Comput. Appl. Math. 271, 307-318 (2014)
DOI 10.1016/j.cam.2014.04.015
L. Einkemmer, A. Ostermann
Convergence analysis of a discontinuous Galerkin / Strang splitting approximation for the Vlasov-Poisson equations.
SIAM J. Numer. Anal. 52, 757-778 (2014)
DOI 10.1137/120898620
M. Caliari, P. Kandolf, A. Ostermann, S. Rainer
Comparison of software for computing the action of the matrix exponential.
BIT Numer. Math. 54, 113-128 (2014)
DOI 10.1007/s10543-013-0446-0
L. Einkemmer, A. Ostermann
Convergence analysis of Strang splitting for Vlasov-type equations.
SIAM J. Numer. Anal. 52, 140-155 (2014)
DOI 10.1137/130918599
V.T. Luan, A. Ostermann
Explicit exponential Runge-Kutta methods of high order for parabolic problems.
J. Comput. Appl. Math. 256, 168-179 (2014)
DOI 10.1016/j.cam.2013.07.027
reprinted in:
J. Comput. Appl. Math. 262, 361-372 (2014)
DOI 10.1016/j.cam.2014.01.001
V.T. Luan, A. Ostermann
Exponential Rosenbrock methods of order five - construction, analysis and numerical comparisons.
J. Comput. Appl. Math. 255, 417-431 (2014)
DOI 10.1016/j.cam.2013.04.041
V.T. Luan, A. Ostermann
Exponential B-series: the stiff case.
SIAM J. Numer. Anal. 51, 3431-3445 (2013)
DOI 10.1137/130920204
L. Einkemmer, A. Ostermann
Exponential integrators on graphic processing units.
In: High Performance Computing and Simulation (HPCS), 2013 International Conference on, IEEE (2013), 490-496.
ISBN 978-1-4799-0836-3 (print)
DOI 10.1109/HPCSim.2013.6641458
M. Mergili, K. Schratz, A. Ostermann, W. Fellin
A GRASS GIS implementation of the Savage-Hutter avalanche model and its application to the 1987 Val Pola event.
In: Landslide Science and Practice, vol. 3: Spatial Analysis and Modelling (C. Margottini, P. Canuti, K. Sassa, eds.),
Springer, Berlin Heidelberg (2013), 367-373.
ISBN 978-3-642-31309-7 (print) 978-3-642-31310-3 (online)
DOI 10.1007/978-3-642-31310-3_50
A. Ostermann, K. Schratz
Stability of exponential operator splitting methods for non-contractive semigroups.
SIAM J. Numer. Anal. 51, 191-203 (2013)
DOI 10.1137/110846580
M. Caliari, A. Ostermann, S. Rainer
Meshfree exponential integrators.
SIAM J. Sci. Comput. 35, A431-A452 (2013)
DOI 10.1137/100818236
S. Huber, T. Hell, M. Probst, A. Ostermann
Numerical investigation of the elastic scattering of hydrogen (isotopes) and helium at graphite (0001) surfaces at beam energies of 1 to 4 eV using a split-step Fourier method.
Theor. Chem. Acc. 132, Article 1337 (2013)
DOI 10.1007/s00214-013-1337-9
W. Fellin, A. Ostermann
The critical state behaviour of barodesy compared with the Matsuoka-Nakai failure criterion.
Int. J. Numer. Anal. Meth. Geomech. 37, 299-308 (2013)
DOI 10.1002/nag.1111
M. Caliari, A. Ostermann, S. Rainer
A meshfree splitting method for soliton dynamics in nonlinear Schrödinger equations.
In: Meshfree Methods for Partial Differential Equations VI (M. Griebel and M.A. Schweitzer, eds.),
Lecture Notes in Computational Science and Engineering 89, Springer, Berlin (2013), 127-139.
ISBN 978-3-642-32978-4
DOI 10.1007/978-3-642-32979_8
A. Koskela, A. Ostermann
Exponential Taylor methods: analysis and implementation.
Comput. Math. Appl. 65, 487-499 (2013)
DOI 10.1016/j.camwa.2012.06.004
D.A. Hipp, M. Hochbruck, A. Ostermann
Exponential integrators for parabolic problems with time dependent coefficients.
Oberwolfach Reports 9, 3602-3606 (2012)
DOI 10.4171/OWR/2012/60
R. Kissmann, M. Werner, K. Egberts, O. Reimer, P. Csomós, A. Ostermann
Physics and parameters in Galactic CR transport models.
In: High energy gamma-ray astronomy: 5th International Meeting on High Energy Gamma-Ray Astronomy (F.A. Aharonian, W. Hofmann, F.M. Rieger, eds.),
AIP Conf. Proc. 1505 (2012), 450-453
ISBN 978-0-7354-1123-4
DOI 10.1063/1.4772294
A. Koskela, S. Dalnodar, R. Kissmann, A. Reimer, A. Ostermann, S. Kimeswenger
Investigation of the recombination of the retarded shell of "born-again" CSPNe by time-dependent radiative transfer models.
In: Planetary Nebulae: An Eye to the Future, IAU Symposium No. 283, 2011 (A. Manchado, L. Stanghellini, and D. Schönberner, eds.),
Proc. Int. Astron. Union, 7, S283, 412-413 (2012)
DOI 10.1017/S1743921312011684
A. Ostermann, K. Schratz
Error analysis of splitting methods for inhomogeneous evolution equations.
Appl. Numer. Math. 62, 1436-1446 (2012)
DOI 10.1016/j.apnum.2012.06.002
E. Hansen, F. Kramer, A. Ostermann
A second-order positivity preserving scheme for semilinear parabolic problems.
Appl. Numer. Math. 62, 1428-1435 (2012)
DOI 10.1016/j.apnum.2012.06.003
M. Mergili, K. Schratz, A. Ostermann, W. Fellin
Physically-based modelling of granular flows with Open Source GIS.
Nat. Hazards Earth Syst. Sci. 12, 187-200 (2012)
DOI 10.5194/nhess-12-187-2012
A. Ostermann, K. Schratz, G. Spielberger
Lie splitting on polygonal domains.
Proc. Appl. Math. Mech. 11, 787-788 (2011)
DOI 10.1002/pamm.201110382
M. Hochbruck, A. Ostermann
Exponential multistep methods of Adams-type.
BIT Numer. Math. 51, 889-908 (2011)
DOI 10.1007/s10543-011-0332-6
M. Caliari, A. Ostermann, S. Rainer
Meshfree integrators.
Oberwolfach Reports 8, 883-885 (2011)
DOI 10.4171/OWR/2011/16
A. Ostermann
Exponential time integration of evolution equations.
In: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 (T. Simos, G. Psihoyios, C. Tsitouras, eds.),
AIP Conf. Proc. 1281 (2010), 11-14
ISBN 978-0-7354-0831-9
DOI 10.1063/1.3497888
Th. Titzmann, M. Graus, M. Müller, A. Hansel, A. Ostermann
Improved peak analysis of signals based on counting systems: Illustrated for proton-transfer-reaction time-of-flight mass spectrometry.
International Journal of Mass Spectrometry 295, 72-77 (2010)
DOI 10.1016/j.ijms.2010.07.009
M. Hofmann, G. Hofstetter, A. Ostermann
Comparison of stress update algorithms for partially saturated soil models.
In: Numerical Methods in Geotechnical Engineering: NUMGE 2010 (T. Benz, S. Nordal, eds.),
Taylor & Francis Group, London (2010), 325-330
ISBN 978-0-415-59239-0 (print); 978-0-203-84236-2 (ebook)
DOI 10.1201/b10551-60
W. Fellin, M. Mittendorfer, A. Ostermann
Adaptive integration of hyperplasticity.
In: Numerical Methods in Geotechnical Engineering: NUMGE 2010 (T. Benz, S. Nordal, eds.),
Taylor & Francis Group, London (2010), 15-20
ISBN 978-0-415-59239-0 (print); 978-0-203-84236-2 (ebook)
DOI 10.1201/b10551-5
E. Hansen, A. Ostermann
Dimension splitting for quasilinear parabolic equations.
IMA Journal of Numerical Analysis 30, 857-869 (2010)
DOI 10.1093/imanum/drn078
M. Hochbruck, A. Ostermann
Exponential integrators.
Acta Numerica 19, 209-286 (2010)
DOI 10.1017/S0962492910000048
A. Ostermann, G. Wanner
A dynamic proof of Thébault's theorem.
Elemente der Mathematik 65, 12-16 (2010)
DOI 10.4171/EM/133
E. Hansen, A. Ostermann
Unconditional convergence of DIRK schemes applied to dissipative evolution equations.
Appl. Numer. Math. 60, 55-63 (2010)
DOI 10.1016/j.apnum.2009.09.001
E. Hansen, A. Ostermann
Dimension splitting for time dependent operators.
Discrete Contin. Dyn. Syst. 2009, Suppl., 322-332 (2009)
ISBN 978-1-60133-011-6
E. Hansen, A. Ostermann
High order splitting methods for analytic semigroups exist.
BIT Numer. Math. 49, 527-542 (2009)
DOI 10.1007/s10543-009-0236-x
M. Hochbruck, M. Hönig, A. Ostermann
A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems.
Inverse Problems 25, 075009 (2009)
DOI 10.1088/0266-5611/25/7/075009
M. Hochbruck, M. Hönig, A. Ostermann
Regularization of nonlinear ill-posed problems by exponential integrators.
Mathematical Modelling and Numerical Analysis (M2AN) 43, 707-720 (2009)
DOI 10.1051/m2an/2009021
E. Hansen, A. Ostermann
Exponential splitting for unbounded operators.
Math. Comp. 78, 1485-1496 (2009)
DOI 10.1090/S0025-5718-09-02213-3
W. Fellin, M. Mittendorfer, A. Ostermann
Adaptive integration of constitutive rate equations.
Computers and Geotechnics 36, 698-708 (2009)
DOI 10.1016/j.compgeo.2008.11.006
M. Hochbruck, A. Ostermann, J. Schweitzer
Exponential Rosenbrock-type methods.
SIAM J. Numer. Anal. 47, 786-803 (2009)
DOI 10.1137/080717717
M. Caliari, A. Ostermann
Implementation of exponential Rosenbrock-type integrators.
Applied Numerical Math. 59, 568-581 (2009)
DOI 10.1016/j.apnum.2008.03.021
M. Caliari, A. Ostermann, S. Rainer, M. Thalhammer
A minimisation approach for computing the ground state of Gross-Pitaevskii systems.
J. Comput. Phys. 228, 349-360 (2009)
DOI 10.1016/j.jcp.2008.09.018
E. Hansen, A. Ostermann
Finite element Runge-Kutta discretizations of porous medium type equations.
SIAM J. Numer. Anal. 46, 1769-1779 (2008)
DOI 10.1137/070680953
E. Hansen, A. Ostermann
Dimension splitting for evolution equations.
Numer. Math. 108, 557-570 (2008)
DOI 10.1007/s00211-007-0129-3
A. Ostermann, H. Staubmann
Rezensionen zu T. Schönwälder, K. Wille, Th. Hölscher: George Spencer Brown. Eine Einfūhrung in die „Laws of Form“ und F. Lau: Die Form der Paradoxie. Eine Einführung in die Mathematik und Philosophie der „Laws of Form“ von G. Spencer Brown.
Österreichische Zeitschrift für Soziologie 33, 112-114 (2008)
DOI 10.1007/s11614-008-0014-z
Ch. Pfeifer, M. Oberguggenberger, A. Ostermann
Damage detection of structures by analysing embedded time series of vibration signals.
In: Proceedings of the 22nd International Workshop on Statistical Modelling. (J. del Castillo, A. Espinal, P. Puig, eds.),
Barcelona, 2-6 July 2007, 504-507.
ISBN 978-84-690-5943-2
A. Ostermann, M. Van Daele
Positivity of exponential Runge-Kutta methods.
BIT Numer. Math. 47, 419-426 (2007)
DOI 10.1007/s10543-007-0124-1
M. Hochbruck, A. Ostermann
Exponential integrators of Rosenbrock-type.
Oberwolfach Reports 3, 1107-1110 (2006)
DOI 10.4171/OWR/2006/18
A. Ostermann, M. Thalhammer
Positivity of exponential multistep methods.
In: Numerical Mathematics and Advanced Applications (A. Bermúdez et al., eds.),
Proceedings of Enumath 2005, Springer, Berlin (2006), 564-571.
ISBN 978-3540342878
A. Ostermann, M. Thalhammer, W. Wright
A class of explicit exponential general linear methods.
BIT Numer. Math. 46, 409-431 (2006)
DOI 10.1007/s10543-006-0054-3
C. González, A. Ostermann, M. Thalhammer
A second-order Magnus-type integrator for non-autonomous parabolic problems.
J. Comput. Appl. Math. 189, 142-156 (2006)
DOI 10.1016/j.cam.2005.04.036
W. Fellin, A. Ostermann
Parameter sensitivity in finite element analysis with constitutive models of the rate type.
Int. J. Numer. Anal. Meth. Geomech. 30, 91-112 (2006)
DOI 10.1002/nag.472
M. Hochbruck, A. Ostermann
Explicit exponential Runge-Kutta methods for semilinear parabolic problems.
SIAM J. Numer. Anal. 43, 1069-1090 (2005)
DOI 10.1137/040611434
M. Hochbruck, A. Ostermann
Exponential Runge-Kutta methods for parabolic problems.
Applied Numerical Math. 53, 323-339 (2005)
DOI 10.1016/j.apnum.2004.08.005
A. Ostermann
Sensitivity analysis.
In: Analyzing Uncertainty in Civil Engineering (W. Fellin, H. Lessmann, M. Oberguggenberger, R. Vieider, eds.),
Springer, Berlin (2005), 101-114.
ISBN 3-540-22246-4
A. Ostermann, M. Thalhammer, G. Kirlinger
Stability of linear multistep methods and applications to nonlinear parabolic problems.
Applied Numerical Math. 48, 389-407 (2004)
DOI 10.1016/j.apnum.2003.10.004
W. Fellin, A. Ostermann
Objective integration and geometric properties of hypoplasticity.
In: Advanced Mathematical and Computational Geomechanics (D. Kolymbas, ed.),
Springer, Berlin (2003), 195-210.
ISBN 3-450-40547-X
W. Fellin, A. Ostermann
Using constitutive models of the rate type in finite element calculations:
error-controlled stress update and consistent tangent operator.
In: Advanced Mathematical and Computational Geomechanics (D. Kolymbas, ed.),
Springer, Berlin (2003), 211-237.
ISBN 3-450-40547-X
W. Fellin, A. Ostermann
Consistent tangent operators for constitutive rate equations.
Int. J. Numer. Anal. Meth. Geomech. 26, 1213-1233 (2002)
DOI 10.1002/nag.242
N. Bakaev, A. Ostermann
Long-term stability of variable stepsize approximations of semigroups.
Math. Comp. 71, 1545-1567 (2002)
DOI 10.1090/S0025-5718-01-01389-8
A. Ostermann, M. Thalhammer
Convergence of Runge-Kutta methods for nonlinear parabolic equations.
Applied Numerical Math. 42, 367-380 (2002)
DOI 10.1016/S0168-9274(01)00161-1
A. Ostermann
Stability of W-methods with applications to operator splitting and to geometric theory.
Applied Numerical Math. 42, 353-366 (2002)
DOI 10.1016/S0168-9274(01)00160-X
C. González, A. Ostermann, C. Palencia, M. Thalhammer
Backward Euler discretization of fully nonlinear parabolic problems.
Math. Comp. 71, 125-145 (2002)
DOI 10.1090/S0025-5718-01-01330-8
A. Ostermann, C. Palencia
Shadowing for nonautonomous parabolic problems with applications to long-time error bounds.
SIAM J. Numer. Anal. 37, 1399-1419 (2000)
DOI 10.1137/S0036142999351030
A. Ostermann, M. Thalhammer
Non-smooth data error estimates for linearly implicit Runge-Kutta methods.
IMA J. Numer. Anal. 20, 167-184 (2000)
DOI 10.1093/imanum/20.2.167
A. Ostermann
Nonlinear stability of numerical methods.
In: Encyclopaedia of Mathematics, Supplement II (M. Hazewinkel, ed.),
Kluwer Academic Publisher, Dordrecht (2000), 359-360.
ISBN 978-0792361145
A. Ostermann, H. Staubmann
Book review. The problem of solidarity: theories and models. P Doreian, T Fararo (eds).
European Sociological Review 16, 115-117 (2000)
DOI 10.1093/esr/16.1.115
W. Netzer, A. Ostermann
Verträglichkeitsbedingung für die horizontale Rohrbettung mit veränderlichen Bettungswinkeln zur statischen Berechnung erdverlegter flexibler und semiflexibler Rohrleitungen.
Österreichische Wasser- und Abfallwirtschaft 51, 305-311 (1999)
ISSN 0945-358X
C. González, A. Ostermann
Optimal convergence results for Runge-Kutta discretizations of linear nonautonomous parabolic problems.
BIT 39, 79-95 (1999)
DOI 10.1023/A:1022369208270
Ch. Lubich, A. Ostermann
Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization.
Numer. Math. 81, 53-84 (1998)
DOI 10.1007/s002110050384
Ch. Lubich, A. Ostermann
Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour.
Applied Numerical Math. 22, 279-292 (1996)
DOI 10.1016/S0168-9274(96)00038-4
Ch. Lubich, A. Ostermann
Interior estimates for time discretizations of parabolic equations.
Applied Numerical Math. 18, 241-251 (1995)
DOI 10.1016/0168-9274(95)00056-Z
Ch. Lubich, A. Ostermann
Linearly implicit time discretization of nonlinear parabolic equations.
IMA J. Numer. Math. 15, 555-583 (1995)
DOI 10.1093/imanum/15.4.555
H. Brunner, J.-P. Kauthen, A. Ostermann
Runge-Kutta time discretizations of parabolic Volterra integro-differential equations.
J. Integral Equations Appl. 7, 1-16 (1995)
DOI 10.1216/jiea/1181075847
Ch. Lubich, A. Ostermann
Runge-Kutta approximation of quasilinear parabolic equations.
Math. Comp. 64, 601-627 (1995)
DOI 10.1090/S0025-5718-1995-1284670-0
A. Ostermann
A class of half-explicit Runge-Kutta methods for differential-algebraic systems of index 3.
Applied Numerical Math. 13, 165-179 (1993)
DOI 10.1016/0168-9274(93)90140-M
A. Ostermann, M. Roche
Rosenbrock methods for partial differential equations and fractional orders of convergence.
SIAM J. Numer. Anal. 30, 1084-1098 (1993)
DOI 10.1137/0730056
Ch. Lubich, A. Ostermann
Runge-Kutta methods for parabolic equations and convolution quadrature.
Math. Comp. 60, 105-131 (1993)
DOI 10.1090/S0025-5718-1993-1153166-7
A. Ostermann, M. Roche
Runge-Kutta methods for partial differential equations and fractional orders of convergence.
Math. Comp. 59, 403-420 (1992)
DOI 10.1090/S0025-5718-1992-1142285-6
E. Hairer, A. Ostermann
Dense output for the GBS extrapolation method.
In: Computational Ordinary Differential Equations (J.R. Cash, I. Gladwell, eds.),
Oxford Univ. Press, Oxford (1992), 107-114
ISBN 978-0198536598
P. Kaps, A. Ostermann
L(α)-stable variable order Rosenbrock methods.
In: Numerical Treatment of Differential Equations. Proceedings of the Fifth Seminar "NUMDIFF-5", Halle 1989 (K. Strehmel ed.).
Teubner-Texte zur Mathematik, Band 121 (1991), 80-91
ISBN 978-3815420171
E. Hairer, A. Ostermann
Dense output for extrapolation methods.
Numer. Math. 58, 419-439 (1990)
DOI 10.1007/BF01385634
A. Ostermann
Continuous extensions of Rosenbrock-type methods.
Computing 44, 59-68 (1990)
DOI 10.1007/BF02247965
A. Ostermann
A half-explicit extrapolation method for differential-algebraic systems of index 3.
IMA J. Numer. Anal. 10, 171-180 (1990)
DOI 10.1093/imanum/10.2.171
P. Kaps, A. Ostermann
Rosenbrock methods using few LU-decompositions.
IMA J. Numer. Anal. 9, 15-27 (1989)
DOI 10.1093/imanum/9.1.15
Ch. Lubich, A. Ostermann
Multi-grid dynamic iteration for parabolic equations.
BIT 27, 216-234 (1987)
DOI 10.1007/BF01934186
A. Ostermann, P. Kaps, T.D. Bui
The solution of a combustion problem with Rosenbrock methods.
ACM Trans. Math. Software 12, 354-361 (1986)
DOI 10.1145/22721.22722
A. Ostermann
Bildfelddrehung.
Die Sterne 61, 363-366 (1986)
ISSN 0039-1255
Miscellanea
S. Arzbacher, N. Rahmatian, A. Ostermann, T. Gasser, T. Loerting, J. Petrasch
Co-deposition of gas hydrates by pressurized thermal evaporation.
Electronic supplementary material (ESI) for Phys. Chem. Chem. Phys. (2020)
DOI 10.1039/C9CP04735B
M. Hochbruck, H. Koch, S.-J. Oh, A. Ostermann (eds.),
Nonlinear evolution equations: analysis and numerics.
Abstracts from the workshop held February 3-9, 2019.
Oberwolfach Rep. 16, 305-405 (2019)
DOI 10.4171/OWR/2019/5
S. Arzbacher, N. Rahmatian, A. Ostermann, B. Massani, T. Loerting, J. Petrasch
Electronic supplementary information: Macroscopic defects upon decomposition of CO2 clathrate hydrate crystals.
Electronic supplementary material (ESI) for Phys. Chem. Chem. Phys. (2019)
DOI 10.1039/c8cp07871h1
G. Ehrensperger, A. Ostermann, F. Schwitzer
Fast algorithms for morphological operations using run-length encoded binary images.
Preprint, arXiv (2015)
arXiv:1504.01052
M. Hochbruck, S. Nicaise, A. Ostermann, R. Schnaubelt (eds.),
Nonlinear evolution equations: analysis and numerics.
Abstracts from the workshop held March 16–22, 2014.
Oberwolfach Rep. 11, 781–868 (2014)
DOI 10.4171/OWR/2014/14
A. Ostermann, S. Rainer
Exponential integrators.
In: Scientific Computing @ uibk (M. Barden, A. Ostermann, eds.),
innsbruck university press (IUP), Innsbruck (2013), 123-126.
ISBN 978-3-902936-19-6
S. Huber, T. Hell, M. Ritter, A. Kaiser, A. Mauracher, A. Ostermann, M. Probst
Interaction of hydrogen & helium with graphite surfaces: modelling elastic scattering & reflection of wave-packets.
In: Scientific Computing @ uibk (M. Barden, A. Ostermann, eds.),
innsbruck university press (IUP), Innsbruck (2013), 65-68.
ISBN 978-3-902936-19-6
T. Hell, S. Huber, M. Sandbichler, A. Ostermann, M. Probst
Splitting methods & their application.
In: Scientific Computing @ uibk (M. Barden, A. Ostermann, eds.),
innsbruck university press (IUP), Innsbruck (2013), 51-54.
ISBN 978-3-902936-19-6
L. Einkemmer, A. Ostermann
Splitting methods for the Vlasov-Poisson & Vlasov-Maxwell equations.
In: Scientific Computing @ uibk (M. Barden, A. Ostermann, eds.),
innsbruck university press (IUP), Innsbruck (2013), 19-22.
ISBN 978-3-902936-19-6
M. Barden, A. Ostermann
Research focal point Scientific Computing.
In: Scientific Computing @ uibk (M. Barden, A. Ostermann, eds.),
innsbruck university press (IUP), Innsbruck (2013), 7-11.
ISBN 978-3-902936-19-6
S. Huber, T. Hell, M. Probst, A. Ostermann
Scattering of T and He at graphite (0001) surfaces: a 3D time-dependent wave packet study.
In: XVIIIth Symposium on Atomic, Cluster and Surface Physics 2012 (M. Lewerenz, O. Dutuit, and R. Marquardt, eds.),
Innsbruck: innsbruck university press (2012), 190-193.
ISBN 978-3-902811-42-4
M. Husty, G. Kirchner, N. Netzer, M. Oberguggenberger, A. Ostermann, F. Pauer
Mathematik in Innsbruck.
Internationale Mathematische Nachrichten 213, 7-18 (2010)
ISSN 0020-7926
M. Mergili, K. Schratz, M. Thalhammer, W. Fellin, A. Ostermann
An Open Source model for the simulation of granular flows: First results with GRASS GIS and needs for further investigations.
In: Proceedings of the academic track of the 2008 Free and Open Source for Geospatial (FOSS4G) Conference, incorporating the GISSA 2008 Conference,
Cape Town (2008), 231-238.
ISBN 978-0-620-42177-1
A. Ostermann
Exponential Integrators.
In: Introduction to Computer Science and Applied Computing (A. Kendl, S. Schindler, eds.),
innsbruck university press (IUP), Innsbruck (2008), 57-58.
ISBN 978-3-902571-45-8
M. Oberguggenberger, A. Ostermann
Damage Detection in Engineering Structures.
In: Introduction to Computer Science and Applied Computing (A. Kendl, S. Schindler, eds.),
innsbruck university press (IUP), Innsbruck (2008), 55-56.
ISBN 978-3-902571-45-8
M. Oberguggenberger, A. Ostermann
ICONA - Innovative Concept for Nonlinear Analysis of Lightweight Structures.
In: Introduction to Computer Science and Applied Computing (A. Kendl, S. Schindler, eds.),
innsbruck university press (IUP), Innsbruck (2008), 53-54.
ISBN 978-3-902571-45-8
W. Fellin, A. Ostermann
Implementation of Nonlinear Inelastic Material Models.
In: Introduction to Computer Science and Applied Computing (A. Kendl, S. Schindler, eds.),
innsbruck university press (IUP), Innsbruck (2008), 33-34.
ISBN 978-3-902571-45-8
W. Fellin, A. Ostermann
Sensitivitätsanalyse von FE-Berechnungen bezüglich Stoffparametern und Anfangsbedingungen mit Hilfe von interner Differentiation.
In: FEM in der Geotechnik - Qualität, Prüfung, Fallbeispiele (Grabe, J., Hrsg.),
Technische Universität Hamburg-Harburg, Hamburg (2005), 67-81.
ISBN 3-936310-11-4
A. Ostermann
Beiträge zur numerischen Lösung von Differentialgleichungen.
Habilitationsschrift, Universität Innsbruck (1990).
A. Ostermann
Über die Wahl geeigneter Approximationen an die Jacobimatrix bei linear-impliziten Runge-Kutta Verfahren.
Dissertation, Universität Innsbruck (1988).
A. Ostermann
Hyperbolische Differentialgleichungen.
Diplomarbeit, Universität Innsbruck (1984).