Alexander Ostermann

107 papers Misc 1Journal 103Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A low regularity exponential-type integrator for the derivative nonlinear Schrödinger equation. CoRR Lun Ji, Hang Li, Alexander Ostermann
2026	J	`jnl`	An initial-corrected splitting approach for convection-diffusion-reaction problems. J. Comput. Appl. Math. Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
2025	J	`jnl`	A simple predictor-corrector scheme without order reduction for advection-diffusion-reaction problems. CoRR Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
2025	J	`jnl`	An initial-boundary corrected splitting method for diffusion-reaction problems. CoRR Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
2025	J	`jnl`	An initial-corrected splitting approach for convection-diffusion-reaction problems. CoRR Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
2025	J	`jnl`	Exponential Runge-Kutta methods for parabolic equations with state-dependent delay. CoRR Qiumei Huang, Alexander Ostermann, Gangfan Zhong
2025	J	`jnl`	Exponential Runge-Kutta methods of collocation type for parabolic equations with time-dependent delay. CoRR Qiumei Huang, Alexander Ostermann, Gangfan Zhong
2025	J	`jnl`	Exponential integrators for parabolic problems with non-homogeneous boundary conditions. CoRR Carlos Arranz-Simón, Alexander Ostermann
2025	J	`jnl`	Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators. CoRR Qiumei Huang, Alexander Ostermann, Gangfan Zhong
2025	J	`jnl`	On the convergence of split exponential integrators for semilinear parabolic problems. CoRR Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
2024	J	`jnl`	Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
2024	J	`jnl`	Filtered Lie-Trotter splitting for the "good" Boussinesq equation: Low regularity error estimates. Math. Comput. Lun Ji, Hang Li, Alexander Ostermann, Chunmei Su
2024	J	`jnl`	Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates. CoRR Lun Ji, Hang Li, Alexander Ostermann, Chunmei Su
2024	J	`jnl`	Highly efficient NURBS-based isogeometric analysis for coupled nonlinear diffusion-reaction equations with and without advection. CoRR Ilham Asmouh, Alexander Ostermann
2024	J	`jnl`	Highly efficient NURBS-based isogeometric analysis for coupled nonlinear diffusion-reaction equations with and without advection. J. Comput. Sci. Ilham Asmouh, Alexander Ostermann
2024	J	`jnl`	Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2024	J	`jnl`	Should exponential integrators be used for advection-dominated problems? CoRR Lukas Einkemmer, Trung Hau Hoang, Alexander Ostermann
2024	J	`jnl`	The exponential trapezoidal method for semilinear integro-differential equations. CoRR Alexander Ostermann, Nasrin Vaisi
2023	J	`jnl`	A robust and conservative dynamical low-rank algorithm. J. Comput. Phys. Lukas Einkemmer, Alexander Ostermann, Carmela Scalone
2023	J	`jnl`	Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations. CoRR Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann
2023	J	`jnl`	Explicit Exponential Runge-Kutta Methods for Semilinear Integro-Differential Equations. SIAM J. Numer. Anal. Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi
2023	J	`jnl`	Low regularity error estimates for high dimensional nonlinear Schrödinger equations. CoRR Lun Ji, Alexander Ostermann
2023	J	`jnl`	Low regularity error estimates for the time integration of 2D NLS. CoRR Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2023	J	`jnl`	Low regularity full error estimates for the cubic nonlinear Schrödinger equation. CoRR Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2022	J	`jnl`	A J. Comput. Phys. Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich
2022	J	`jnl`	A Fully Discrete Low-Regularity Integrator for the Nonlinear Schrödinger Equation. J. Sci. Comput. Alexander Ostermann, Fangyan Yao
2022	J	`jnl`	A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. Numerische Mathematik Lukas Einkemmer, Alexander Ostermann, Mirko Residori
2022	J	`jnl`	A robust and conservative dynamical low-rank algorithm. CoRR Lukas Einkemmer, Alexander Ostermann, Carmela Scalone
2022	J	`jnl`	Error estimates at low regularity of splitting schemes for NLS. Math. Comput. Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2022	J	`jnl`	Explicit exponential Runge-Kutta methods for semilinear integro-differential equations. CoRR Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi
2022	J	`jnl`	Exponential Integrators for Second-Order in Time Partial Differential Equations. J. Sci. Comput. Duy Phan, Alexander Ostermann
2021	J	`jnl`	A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps. J. Sci. Comput. Yong-Liang Zhao, Xian-Ming Gu, Alexander Ostermann
2021	J	`jnl`	A fully discrete low-regularity integrator for the nonlinear Schrödinger equation. CoRR Alexander Ostermann, Fangyan Yao
2021	J	`jnl`	A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations. J. Comput. Phys. Yong-Liang Zhao, Alexander Ostermann, Xian-Ming Gu
2021	J	`jnl`	A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions. J. Comput. Appl. Math. Lukas Einkemmer, Alexander Ostermann, Mirko Residori
2021	J	`jnl`	A second order low-regularity integrator for the nonlinear Schrödinger equation. CoRR Alexander Ostermann, Fangyan Yao, Yifei Wu
2021	J	`jnl`	A μ-mode integrator for solving evolution equations in Kronecker form. CoRR Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich
2021	J	`jnl`	An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. J. Comput. Phys. Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann
2021	J	`jnl`	An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. CoRR Lukas Einkemmer, Alexander Ostermann, Mirko Residori
2021	J	`jnl`	An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. Comput. Phys. Commun. Lukas Einkemmer, Alexander Ostermann, Mirko Residori
2021	J	`jnl`	Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Found. Comput. Math. Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2021	J	`jnl`	Exponential integrators for second-order in time partial differential equations. CoRR Alexander Ostermann, Duy Phan
2021	J	`jnl`	Fast IIF-WENO Method on Non-uniform Meshes for Nonlinear Space-Fractional Convection-Diffusion-Reaction Equations. J. Sci. Comput. Huan-Yan Jian, Ting-Zhu Huang, Alexander Ostermann, Xian-Ming Gu, Yong-Liang Zhao
2021	J	`jnl`	Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods. Appl. Math. Comput. Huan-Yan Jian, Ting-Zhu Huang, Alexander Ostermann, Xian-Ming Gu, Yong-Liang Zhao
2020	J	`jnl`	A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations. CoRR Yong-Liang Zhao, Alexander Ostermann, Xian-Ming Gu
2020	J	`jnl`	A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. J. Comput. Phys. Lukas Einkemmer, Alexander Ostermann, Chiara Piazzola
2020	J	`jnl`	A parallel preconditioning technique for an all-at-once system from subdiffusion equations with variable time steps. CoRR Yong-Liang Zhao, Xian-Ming Gu, Alexander Ostermann
2020	J	`jnl`	A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. CoRR Lukas Einkemmer, Alexander Ostermann, Mirko Residori
2020	J	`jnl`	An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. CoRR Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann
2020	J	`jnl`	An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. CoRR Yong-Liang Zhao, Meng Li, Alexander Ostermann, Xian-Ming Gu
2020	J	`jnl`	Error estimates at low regularity of splitting schemes for NLS. CoRR Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2020	J	`jnl`	Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces. CoRR Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2020	J	`jnl`	On the convergence of Lawson methods for semilinear stiff problems. Numerische Mathematik Marlis Hochbruck, Jan Leibold, Alexander Ostermann
2019	J	`jnl`	A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data. SIAM J. Numer. Anal. Marvin Knöller, Alexander Ostermann, Katharina Schratz
2019	J	`jnl`	Convergence of a Low-Rank Lie-Trotter Splitting for Stiff Matrix Differential Equations. SIAM J. Numer. Anal. Alexander Ostermann, Chiara Piazzola, Hanna Walach
2019	J	`jnl`	Two exponential-type integrators for the "good" Boussinesq equation. Numerische Mathematik Alexander Ostermann, Chunmei Su
2018	J	`jnl`	A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation. Appl. Math. Comput. Lukas Einkemmer, Alexander Ostermann
2018	—	`book`	Analysis for Computer Scientists - Foundations, Methods, and Algorithms, Second Edition Michael Oberguggenberger, Alexander Ostermann
2018	J	`jnl`	Efficient boundary corrected Strang splitting. Appl. Math. Comput. Lukas Einkemmer, Martina Moccaldi, Alexander Ostermann
2018	J	`jnl`	Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations. Found. Comput. Math. Alexander Ostermann, Katharina Schratz
2018	J	`jnl`	Magnus integrators on multicore CPUs and GPUs. Comput. Phys. Commun. N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann
2018	J	`jnl`	Numerical low-rank approximation of matrix differential equations. J. Comput. Appl. Math. Hermann Mena, Alexander Ostermann, Lena-Maria Pfurtscheller, Chiara Piazzola
2017	J	`jnl`	A splitting approach for the magnetic Schrödinger equation. J. Comput. Appl. Math. Marco Caliari, Alexander Ostermann, Chiara Piazzola
2017	J	`jnl`	Magnus integrators on multicore CPUs and GPUs. CoRR N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann
2017	J	`jnl`	Splitting methods for constrained diffusion-reaction systems. Comput. Math. Appl. Robert Altmann, Alexander Ostermann
2016	J	`jnl`	Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver. CoRR Martina Prugger, Lukas Einkemmer, Alexander Ostermann
2016	J	`jnl`	Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver. Parallel Comput. Martina Prugger, Lukas Einkemmer, Alexander Ostermann
2016	J	`jnl`	Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions. SIAM J. Sci. Comput. Lukas Einkemmer, Alexander Ostermann
2016	J	`jnl`	Parallel exponential Rosenbrock methods. Comput. Math. Appl. Vu Thai Luan, Alexander Ostermann
2016	J	`jnl`	The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential. SIAM J. Sci. Comput. Marco Caliari, Peter Kandolf, Alexander Ostermann, Stefan Rainer
2016	J	`jnl`	The error structure of the Douglas-Rachford splitting method for stiff linear problems. J. Comput. Appl. Math. Eskil Hansen, Alexander Ostermann, Katharina Schratz
2015	J	`jnl`	A splitting approach for the Kadomtsev-Petviashvili equation. J. Comput. Phys. Lukas Einkemmer, Alexander Ostermann
2015	J	`jnl`	Fast algorithms for morphological operations using run-length encoded binary images. CoRR Gregor Ehrensperger, Alexander Ostermann, Felix Schwitzer
2015	J	`jnl`	On the error propagation of semi-Lagrange and Fourier methods for advection problems. Comput. Math. Appl. Lukas Einkemmer, Alexander Ostermann
2015	J	`jnl`	Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions. SIAM J. Sci. Comput. Lukas Einkemmer, Alexander Ostermann
2014	J	`jnl`	A Moment-Matching Arnoldi Iteration for Linear Combinations of φ Functions. SIAM J. Matrix Anal. Appl. Antti Koskela, Alexander Ostermann
2014	J	`jnl`	A splitting approach for the Kadomtsev-Petviashvili equation. CoRR Lukas Einkemmer, Alexander Ostermann
2014	J	`jnl`	An almost symmetric Strang splitting scheme for nonlinear evolution equations. Comput. Math. Appl. Lukas Einkemmer, Alexander Ostermann
2014	J	`jnl`	An almost symmetric Strang splitting scheme for the construction of high order composition methods. J. Comput. Appl. Math. Lukas Einkemmer, Alexander Ostermann
2014	J	`jnl`	Convergence Analysis of Strang Splitting for Vlasov-Type Equations. SIAM J. Numer. Anal. Lukas Einkemmer, Alexander Ostermann
2014	J	`jnl`	Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations. SIAM J. Numer. Anal. Lukas Einkemmer, Alexander Ostermann
2014	J	`jnl`	Explicit exponential Runge-Kutta methods of high order for parabolic problems. J. Comput. Appl. Math. Vu Thai Luan, Alexander Ostermann
2014	J	`jnl`	Exponential Rosenbrock methods of order five - construction, analysis and numerical comparisons. J. Comput. Appl. Math. Vu Thai Luan, Alexander Ostermann
2014	J	`jnl`	On the error propagation of semi-Lagrange and Fourier methods for advection problems. CoRR Lukas Einkemmer, Alexander Ostermann
2014	J	`jnl`	Reprint of "Explicit exponential Runge-Kutta methods of high order for parabolic problems". J. Comput. Appl. Math. Vu Thai Luan, Alexander Ostermann
2013	J	`jnl`	Exponential B-Series: The Stiff Case. SIAM J. Numer. Anal. Vu Thai Luan, Alexander Ostermann
2013	J	`jnl`	Exponential Integrators on Graphic Processing Units. CoRR Lukas Einkemmer, Alexander Ostermann
2013	J	`jnl`	Exponential Taylor methods: Analysis and implementation. Comput. Math. Appl. Antti Koskela, Alexander Ostermann
2013	—	`conf`	Exponential integrators on graphic processing units. HPCS Lukas Einkemmer, Alexander Ostermann
2013	J	`jnl`	Meshfree Exponential Integrators. SIAM J. Sci. Comput. Marco Caliari, Alexander Ostermann, Stefan Rainer
2013	J	`jnl`	Stability of Exponential Operator Splitting Methods for Noncontractive Semigroups. SIAM J. Numer. Anal. Alexander Ostermann, Katharina Schratz
2012	Misc	`conf`	Stiff Order Conditions for Exponential Runge-Kutta Methods of Order Five. HPSC Vu Thai Luan, Alexander Ostermann
2011	—	`book`	Analysis for Computer Scientists - Foundations, Methods, and Algorithms. Michael Oberguggenberger, Alexander Ostermann
2010	J	`jnl`	Exponential integrators. Acta Numer. Marlis Hochbruck, Alexander Ostermann
2009	J	`jnl`	A minimisation approach for computing the ground state of Gross-Pitaevskii systems. J. Comput. Phys. Marco Caliari, Alexander Ostermann, Stefan Rainer, Mechthild Thalhammer
2009	J	`jnl`	Exponential splitting for unbounded operators. Math. Comput. Eskil Hansen, Alexander Ostermann
2008	J	`jnl`	Dimension splitting for evolution equations. Numerische Mathematik Eskil Hansen, Alexander Ostermann
2008	J	`jnl`	Exponential Rosenbrock-Type Methods. SIAM J. Numer. Anal. Marlis Hochbruck, Alexander Ostermann, Julia Schweitzer
2008	J	`jnl`	Finite Element Runge-Kutta Discretizations of Porous Medium-Type Equations. SIAM J. Numer. Anal. Eskil Hansen, Alexander Ostermann
2005	J	`jnl`	Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems. SIAM J. Numer. Anal. Marlis Hochbruck, Alexander Ostermann
2002	J	`jnl`	Backward Euler discretization of fully nonlinear parabolic problems. Math. Comput. Cesáreo González, Alexander Ostermann, Cesar Palencia, Mechthild Thalhammer
2002	J	`jnl`	Long-term stability of variable stepsize approximations of semigroups. Math. Comput. Nikolai Bakaev, Alexander Ostermann
2000	J	`jnl`	Shadowing for Nonautonomous Parabolic Problems with Applications to Long-Time Error Bounds. SIAM J. Numer. Anal. Alexander Ostermann, Cesar Palencia
1998	J	`jnl`	Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. Numerische Mathematik Christian Lubich, Alexander Ostermann
1990	J	`jnl`	Continuous extensions of Rosenbrock-type methods. Computing Alexander Ostermann
1986	J	`jnl`	The solution of a combustion problem with Rosenbrock methods. ACM Trans. Math. Softw. Alexander Ostermann, Peter Kaps, Tien Dai Bui
1977	J	`jnl`	Hermitesche Differenzenverfahren zur Approximation der Lösung von Differentialgleichungen der Form Computing Alexander Ostermann