Alexander Ostermann

Publication Activity (10 Years)

Years Active: 1977-2024
Publications (10 Years): 60

Top Topics

Differential Equations

Numerical Scheme

Error Estimates

Top Venues

J. Comput. Appl. Math.

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Lun Ji, Hang Li, Alexander Ostermann, Chunmei Su
Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates. CoRR (2024)
Ilham Asmouh, Alexander Ostermann
Highly efficient NURBS-based isogeometric analysis for coupled nonlinear diffusion-reaction equations with and without advection. CoRR (2024)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. 46 (2) (2024)
Alexander Ostermann, Nasrin Vaisi
The exponential trapezoidal method for semilinear integro-differential equations. CoRR (2024)
Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz
Low regularity error estimates for the time integration of 2D NLS. CoRR (2023)
Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi
Explicit Exponential Runge-Kutta Methods for Semilinear Integro-Differential Equations. SIAM J. Numer. Anal. 61 (3) (2023)
Lun Ji, Alexander Ostermann
Low regularity error estimates for high dimensional nonlinear Schrödinger equations. CoRR (2023)
Lukas Einkemmer, Alexander Ostermann, Carmela Scalone
A robust and conservative dynamical low-rank algorithm. J. Comput. Phys. 484 (2023)
Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz
Low regularity full error estimates for the cubic nonlinear Schrödinger equation. CoRR (2023)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations. CoRR (2023)
Alexander Ostermann, Fangyan Yao
A Fully Discrete Low-Regularity Integrator for the Nonlinear Schrödinger Equation. J. Sci. Comput. 91 (1) (2022)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. Numerische Mathematik 150 (1) (2022)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich
-mode integrator for solving evolution equations in Kronecker form. J. Comput. Phys. 455 (2022)
Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi
Explicit exponential Runge-Kutta methods for semilinear integro-differential equations. CoRR (2022)
Duy Phan, Alexander Ostermann
Exponential Integrators for Second-Order in Time Partial Differential Equations. J. Sci. Comput. 93 (2) (2022)
Lukas Einkemmer, Alexander Ostermann, Carmen Scalone
A robust and conservative dynamical low-rank algorithm. CoRR (2022)
Alexander Ostermann, Frédéric Rousset, Katharina Schratz
Error estimates at low regularity of splitting schemes for NLS. Math. Comput. 91 (333) (2022)
Huan-Yan Jian, Ting-Zhu Huang, Alexander Ostermann, Xian-Ming Gu, Yong-Liang Zhao
Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods. Appl. Math. Comput. 408 (2021)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. CoRR (2021)
Huan-Yan Jian, Ting-Zhu Huang, Alexander Ostermann, Xian-Ming Gu, Yong-Liang Zhao
Fast IIF-WENO Method on Non-uniform Meshes for Nonlinear Space-Fractional Convection-Diffusion-Reaction Equations. J. Sci. Comput. 89 (1) (2021)
Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. J. Comput. Phys. 437 (2021)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. Comput. Phys. Commun. 269 (2021)
Alexander Ostermann, Frédéric Rousset, Katharina Schratz
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Found. Comput. Math. 21 (3) (2021)
Yong-Liang Zhao, Alexander Ostermann, Xian-Ming Gu
A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations. J. Comput. Phys. 446 (2021)
Alexander Ostermann, Fangyan Yao, Yifei Wu
A second order low-regularity integrator for the nonlinear Schrödinger equation. CoRR (2021)
Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich
A μ-mode integrator for solving evolution equations in Kronecker form. CoRR (2021)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions. J. Comput. Appl. Math. 385 (2021)
Alexander Ostermann, Fangyan Yao
A fully discrete low-regularity integrator for the nonlinear Schrödinger equation. CoRR (2021)
Alexander Ostermann, Duy Phan
Exponential integrators for second-order in time partial differential equations. CoRR (2021)
Yong-Liang Zhao, Xian-Ming Gu, Alexander Ostermann
A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps. J. Sci. Comput. 88 (1) (2021)
Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. CoRR (2020)
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. CoRR (2020)
Alexander Ostermann, Frédéric Rousset, Katharina Schratz
Error estimates at low regularity of splitting schemes for NLS. CoRR (2020)
Marlis Hochbruck, Jan Leibold, Alexander Ostermann
On the convergence of Lawson methods for semilinear stiff problems. Numerische Mathematik 145 (3) (2020)
Lukas Einkemmer, Alexander Ostermann, Chiara Piazzola
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. J. Comput. Phys. 403 (2020)
Alexander Ostermann, Frédéric Rousset, Katharina Schratz
Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces. CoRR (2020)
Yong-Liang Zhao, Xian-Ming Gu, Alexander Ostermann
A parallel preconditioning technique for an all-at-once system from subdiffusion equations with variable time steps. CoRR (2020)
Yong-Liang Zhao, Meng Li, Alexander Ostermann, Xian-Ming Gu
An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. CoRR (2020)
Yong-Liang Zhao, Alexander Ostermann, Xian-Ming Gu
A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations. CoRR (2020)
Marvin Knöller, Alexander Ostermann, Katharina Schratz
A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data. SIAM J. Numer. Anal. 57 (4) (2019)
Alexander Ostermann, Chiara Piazzola, Hanna Walach
Convergence of a Low-Rank Lie-Trotter Splitting for Stiff Matrix Differential Equations. SIAM J. Numer. Anal. 57 (4) (2019)
Alexander Ostermann, Chunmei Su
Two exponential-type integrators for the "good" Boussinesq equation. Numerische Mathematik 143 (3) (2019)
Lukas Einkemmer, Alexander Ostermann
A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation. Appl. Math. Comput. 334 (2018)
Lukas Einkemmer, Martina Moccaldi, Alexander Ostermann
Efficient boundary corrected Strang splitting. Appl. Math. Comput. 332 (2018)
Alexander Ostermann, Katharina Schratz
Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations. Found. Comput. Math. 18 (3) (2018)
N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann
Magnus integrators on multicore CPUs and GPUs. Comput. Phys. Commun. 228 (2018)
Hermann Mena, Alexander Ostermann, Lena-Maria Pfurtscheller, Chiara Piazzola
Numerical low-rank approximation of matrix differential equations. J. Comput. Appl. Math. 340 (2018)
Robert Altmann, Alexander Ostermann
Splitting methods for constrained diffusion-reaction systems. Comput. Math. Appl. 74 (5) (2017)
N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann
Magnus integrators on multicore CPUs and GPUs. CoRR (2017)
Marco Caliari, Alexander Ostermann, Chiara Piazzola
A splitting approach for the magnetic Schrödinger equation. J. Comput. Appl. Math. 316 (2017)
Lukas Einkemmer, Alexander Ostermann
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions. SIAM J. Sci. Comput. 38 (6) (2016)
Eskil Hansen, Alexander Ostermann, Katharina Schratz
The error structure of the Douglas-Rachford splitting method for stiff linear problems. J. Comput. Appl. Math. 303 (2016)
Vu Thai Luan, Alexander Ostermann
Parallel exponential Rosenbrock methods. Comput. Math. Appl. 71 (5) (2016)
Martina Prugger, Lukas Einkemmer, Alexander Ostermann
Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver. Parallel Comput. 60 (2016)
Marco Caliari, Peter Kandolf, Alexander Ostermann, Stefan Rainer
The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential. SIAM J. Sci. Comput. 38 (3) (2016)
Martina Prugger, Lukas Einkemmer, Alexander Ostermann
Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver. CoRR (2016)
Lukas Einkemmer, Alexander Ostermann
On the error propagation of semi-Lagrange and Fourier methods for advection problems. Comput. Math. Appl. 69 (3) (2015)
Lukas Einkemmer, Alexander Ostermann
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions. SIAM J. Sci. Comput. 37 (3) (2015)
Gregor Ehrensperger, Alexander Ostermann, Felix Schwitzer
Fast algorithms for morphological operations using run-length encoded binary images. CoRR (2015)
Lukas Einkemmer, Alexander Ostermann
A splitting approach for the Kadomtsev-Petviashvili equation. J. Comput. Phys. 299 (2015)
Lukas Einkemmer, Alexander Ostermann
An almost symmetric Strang splitting scheme for nonlinear evolution equations. Comput. Math. Appl. 67 (12) (2014)
Vu Thai Luan, Alexander Ostermann
Explicit exponential Runge-Kutta methods of high order for parabolic problems. J. Comput. Appl. Math. 256 (2014)
Vu Thai Luan, Alexander Ostermann
Exponential Rosenbrock methods of order five - construction, analysis and numerical comparisons. J. Comput. Appl. Math. 255 (2014)
Lukas Einkemmer, Alexander Ostermann
A splitting approach for the Kadomtsev-Petviashvili equation. CoRR (2014)
Lukas Einkemmer, Alexander Ostermann
Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations. SIAM J. Numer. Anal. 52 (2) (2014)
Vu Thai Luan, Alexander Ostermann
Reprint of "Explicit exponential Runge-Kutta methods of high order for parabolic problems". J. Comput. Appl. Math. 262 (2014)
Lukas Einkemmer, Alexander Ostermann
An almost symmetric Strang splitting scheme for the construction of high order composition methods. J. Comput. Appl. Math. 271 (2014)
Antti Koskela, Alexander Ostermann
A Moment-Matching Arnoldi Iteration for Linear Combinations of φ Functions. SIAM J. Matrix Anal. Appl. 35 (4) (2014)
Lukas Einkemmer, Alexander Ostermann
Convergence Analysis of Strang Splitting for Vlasov-Type Equations. SIAM J. Numer. Anal. 52 (1) (2014)
Lukas Einkemmer, Alexander Ostermann
On the error propagation of semi-Lagrange and Fourier methods for advection problems. CoRR (2014)
Vu Thai Luan, Alexander Ostermann
Exponential B-Series: The Stiff Case. SIAM J. Numer. Anal. 51 (6) (2013)
Antti Koskela, Alexander Ostermann
Exponential Taylor methods: Analysis and implementation. Comput. Math. Appl. 65 (3) (2013)
Lukas Einkemmer, Alexander Ostermann
Exponential integrators on graphic processing units. HPCS (2013)
Lukas Einkemmer, Alexander Ostermann
Exponential Integrators on Graphic Processing Units. CoRR (2013)
Marco Caliari, Alexander Ostermann, Stefan Rainer
Meshfree Exponential Integrators. SIAM J. Sci. Comput. 35 (1) (2013)
Alexander Ostermann, Katharina Schratz
Stability of Exponential Operator Splitting Methods for Noncontractive Semigroups. SIAM J. Numer. Anal. 51 (1) (2013)
Vu Thai Luan, Alexander Ostermann
Stiff Order Conditions for Exponential Runge-Kutta Methods of Order Five. HPSC (2012)
Marlis Hochbruck, Alexander Ostermann
Exponential integrators. Acta Numer. 19 (2010)
Eskil Hansen, Alexander Ostermann
Exponential splitting for unbounded operators. Math. Comput. 78 (267) (2009)
Marco Caliari, Alexander Ostermann, Stefan Rainer, Mechthild Thalhammer
A minimisation approach for computing the ground state of Gross-Pitaevskii systems. J. Comput. Phys. 228 (2) (2009)
Eskil Hansen, Alexander Ostermann
Dimension splitting for evolution equations. Numerische Mathematik 108 (4) (2008)
Marlis Hochbruck, Alexander Ostermann, Julia Schweitzer
Exponential Rosenbrock-Type Methods. SIAM J. Numer. Anal. 47 (1) (2008)
Eskil Hansen, Alexander Ostermann
Finite Element Runge-Kutta Discretizations of Porous Medium-Type Equations. SIAM J. Numer. Anal. 46 (4) (2008)
Marlis Hochbruck, Alexander Ostermann
Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems. SIAM J. Numer. Anal. 43 (3) (2005)
Nikolai Bakaev, Alexander Ostermann
Long-term stability of variable stepsize approximations of semigroups. Math. Comput. 71 (240) (2002)
Cesáreo González, Alexander Ostermann, Cesar Palencia, Mechthild Thalhammer
Backward Euler discretization of fully nonlinear parabolic problems. Math. Comput. 71 (237) (2002)
Alexander Ostermann, Cesar Palencia
Shadowing for Nonautonomous Parabolic Problems with Applications to Long-Time Error Bounds. SIAM J. Numer. Anal. 37 (5) (2000)
Christian Lubich, Alexander Ostermann
Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. Numerische Mathematik 81 (1) (1998)
Alexander Ostermann
Continuous extensions of Rosenbrock-type methods. Computing 44 (1) (1990)
Alexander Ostermann, Peter Kaps, Tien Dai Bui
The solution of a combustion problem with Rosenbrock methods. ACM Trans. Math. Softw. 12 (4) (1986)
Alexander Ostermann
). Computing 18 (2) (1977)