Alexander Ostermann

发表

Convergence of a Low-Rank Lie-Trotter Splitting for Stiff Matrix Differential Equations

Alexander Ostermann, Chiara Piazzola, Hanna Walach, 2018, SIAM J. Numer. Anal..

A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction

Alexander Ostermann, Chiara Piazzola, Lukas Einkemmer, 2019, J. Comput. Phys..

On the convergence of Lawson methods for semilinear stiff problems

Alexander Ostermann, Marlis Hochbruck, Jan Leibold, 2017, Numerische Mathematik.

Solutions to the Exercises

Alexander Ostermann, Gerhard Wanner, 2012 .

Constitutive Models in Finite Element Codes

Wolfgang Fellin, Alexander Ostermann, A. Ostermann, 2014 .

Parameter identification for an advanced material model for intact rock

Alexander Ostermann, Markus Haltmeier, G Hofstetter, 2014 .

Verträglichkeitsbedingung für die horizontale Rohrbettung mit veränderlichen Bettungswinkeln zur statischen Berechnung erdverlegter flexibler und semiflexibler Rohrleitungen

Alexander Ostermann, W. Netzer, 1999 .

Two exponential-type integrators for the “good” Boussinesq equation

Alexander Ostermann, Chunmei Su, A. Ostermann, 2019, Numerische Mathematik.

Fractals and L-Systems

Alexander Ostermann, Michael Oberguggenberger, 2011 .

Appendix D: Description of the Supplementary Software

Alexander Ostermann, Michael Oberguggenberger, 2011 .

A strategy to suppress recurrence in grid-based Vlasov solvers

Alexander Ostermann, Lukas Einkemmer, 2014 .

Splitting methods for time integration of trajectories in combined electric and magnetic fields.

Alexander Ostermann, Antti Koskela, Alexander Kendl, 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

The critical state behaviour of barodesy compared with the Matsuoka–Nakai failure criterion

Wolfgang Fellin, Alexander Ostermann, A. Ostermann, 2013 .

A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions

Alexander Ostermann, Lukas Einkemmer, Mirko Residori, 2019, J. Comput. Appl. Math..

Detecting structural changes with ARMA processes

Alexander Ostermann, Georg Spielberger, Alexander Tributsch, 2016 .

Numerical Solution of Differential Equations

Alexander Ostermann, Michael Oberguggenberger, M. Oberguggenberger, 2011 .

Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods

Ting-Zhu Huang, Alexander Ostermann, Xian-Ming Gu, 2021, Appl. Math. Comput..

Fast IIF–WENO Method on Non-uniform Meshes for Nonlinear Space-Fractional Convection–Diffusion–Reaction Equations

Ting-Zhu Huang, Alexander Ostermann, Yong-Liang Zhao, 2021, Journal of Scientific Computing.

Exponential integrators for second-order in time partial differential equations

Alexander Ostermann, Duy Phan, 2021 .

An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware pdf

Alexander Ostermann, Lukas Einkemmer, Mirko Residori, 2021, Comput. Phys. Commun..

A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps

Alexander Ostermann, Xian-Ming Gu, Yong-Liang Zhao, 2020, Journal of Scientific Computing.

Applications of the Derivative

Alexander Ostermann, Michael Oberguggenberger, 2011 .

Physically-based modelling of granular flows with Open Source GIS

Wolfgang Fellin, Alexander Ostermann, Katharina Schratz, 2012 .

Runge-Kutta methods for partial differential equations and fractional orders of convergence

Alexander Ostermann, M. Roche, A. Ostermann, 1992 .

Thales and Pythagoras

Alexander Ostermann, Gerhard Wanner, 2012 .

Regularization of nonlinear ill-posed problems by exponential integrators

Alexander Ostermann, Marlis Hochbruck, M. Hochbruck, 2009 .

Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity

Alexander Ostermann, Katharina Schratz, Fr'ed'eric Rousset, 2019, Found. Comput. Math..

Multi-grid dynamic iteration for parabolic equations

Alexander Ostermann, Christian Lubich, C. Lubich, 1987 .

A second-order positivity preserving scheme for semilinear parabolic problems

Alexander Ostermann, Felix Kramer, Eskil Hansen, 2012 .

Convergence of Runge-Kutta methods for nonlinear parabolic equations

Alexander Ostermann, Mechthild Thalhammer, A. Ostermann, 2002 .

Compatibility conditions for Dirichlet and Neumann problems of Poisson's equation on a rectangle

Alexander Ostermann, Tobias Hell, 2014 .

Geometry by Its History

Alexander Ostermann, Gerhard Wanner, 2012 .

Rosenbrock methods for partial differential equations and fractional orders of convergence

Alexander Ostermann, M. Roche, A. Ostermann, 1993 .

Stability of linear multistep methods and applications to nonlinear parabolic problems

Alexander Ostermann, Mechthild Thalhammer, A. Ostermann, 2004 .

Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: nonsmooth-data error estimates and applications to long-time behaviour

Alexander Ostermann, Christian Lubich, C. Lubich, 1996 .

Non-smooth data error estimates for linearly implicit Runge-Kutta methods

Alexander Ostermann, Mechthild Thalhammer, A. Ostermann, 2000 .

Positivity of Exponential Multistep Methods

Alexander Ostermann, Mechthild Thalhammer, A. Ostermann, 2006 .

A Lawson-type exponential integrator for the Korteweg–de Vries equation

Alexander Ostermann, Chunmei Su, A. Ostermann, 2018, IMA Journal of Numerical Analysis.

Stability of W-methods with applications to operator splitting and to geometric theory

Alexander Ostermann, A. Ostermann, 2002 .

Real-Valued Functions

Alexander Ostermann, Michael Oberguggenberger, 2011 .

A second-order Magnus-type integrator for nonautonomous parabolic problems

Alexander Ostermann, Mechthild Thalhammer, C. González, 2006 .

Consistent tangent operators for constitutive rate equations

Wolfgang Fellin, Alexander Ostermann, A. Ostermann, 2002 .

Modification of dimension-splitting methods—overcoming the order reduction due to corner singularities

Alexander Ostermann, Michael Sandbichler, Tobias Hell, 2015 .

Optimal Convergence Results for Runge-Kutta Discretizations of Linear Nonautonomous Parabolic Problems

Alexander Ostermann, A. Ostermann, C. González, 1999 .

Exponential multistep methods of Adams-type

Alexander Ostermann, Marlis Hochbruck, M. Hochbruck, 2011 .

A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems

Alexander Ostermann, Marlis Hochbruck, M. Hochbruck, 2009 .

RUNGE-KUTTA METHODS FOR PARABOLIC EQUATIONS AND CONVOLUTION QUADRATURE

Alexander Ostermann, C. Lubich, A. Ostermann, 1993 .

Interior estimates for time discretizations of parabolic equations

Alexander Ostermann, Christian Lubich, C. Lubich, 1995 .

Stability analysis of explicit exponential integrators for delay differential equations

Alexander Ostermann, Jingjun Zhao, Rui Zhan, 2016 .

Analysis of exponential splitting methods for inhomogeneous parabolic equations

Alexander Ostermann, Erwan Faou, Katharina Schratz, 2012 .

Dimension splitting for time dependent operators

Alexander Ostermann, Eskil Hansen, 2009 .

A Half-Explicit Extrapolation Method for Differential-Algebraic Systems of Indix 3

Alexander Ostermann, A. Ostermann, 1990 .

Dimension splitting for quasilinear parabolic equations

Alexander Ostermann, Eskil Hansen, A. Ostermann, 2010 .

Low regularity exponential-type integrators for semilinear Schr\"odinger equations in the energy space

Alexander Ostermann, Katharina Schratz, 2016 .