Ostermann, Alexander

1. On the convergence of Lawson methods for semilinear stiff problems
   2017/09/04 by Hochbruck, Marlis, Ostermann, Alexander · 3 citations
   #65J10 #65L06 #65L20 #65M12 #FOS: Mathematics #Numerical Analysis (math.NA)
2. Low regularity exponential-type integrators for semilinear Schrödinger equations
   2016/03/24 by Ostermann, Alexander, Schratz, Katharina · 3 citations
   #FOS: Mathematics #Numerical Analysis (math.NA)
3. Error estimates at low regularity of splitting schemes for NLS
   2020/12/28 by Ostermann, Alexander, Rousset, Frédéric, Schratz, Katharina · 3 citations
   #FOS: Mathematics #Numerical Analysis (math.NA)
4. Error estimates of a Fourier integrator for the cubic Schr "odinger\n equation at low regularity
   2019/02/18 by Alexander Ostermann, Frédéric Rousset, Ostermann, Alexander +3 · 2 citations
   Engineering · Mathematics · #Advanced Mathematical Physics Problems #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
5. Accelerating exponential integrators to efficiently solve semilinear advection-diffusion-reaction equations
   2023/03/28 by Caliari, Marco, Cassini, Fabio, Einkemmer, Lukas +1 · 2 citations
   #FOS: Mathematics #Numerical Analysis (math.NA)
6. Numerical low-rank approximation of matrix differential equations
   2017/05/29 by Mena, Hermann, Ostermann, Alexander, Pfurtscheller, Lena-Maria +1 · 1 citation
   #49J20 #65F30 #65L05 #FOS: Mathematics #Numerical Analysis (math.NA)
7. Convergence of a low-rank Lie--Trotter splitting for stiff matrix differential equations
   2018/03/28 by Ostermann, Alexander, Piazzola, Chiara, Walach, Hanna · 1 citation
   #49J20 #65F30 #65L04 #65L20 #65M12 #FOS: Mathematics #Numerical Analysis (math.NA)
8. A Lawson-type exponential integrator for the Korteweg-de Vries equation
   2018/07/12 by Ostermann, Alexander, Su, Chunmei · 1 citation
   #65M15 #FOS: Mathematics #Numerical Analysis (math.NA)
9. Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces
   2020/06/23 by Ostermann, Alexander, Rousset, Frédéric, Schratz, Katharina · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
10. A fully discrete low-regularity integrator for the nonlinear Schrödinger equation
    2021/08/10 by Alexander Ostermann, Ostermann, Alexander, Fangyan Yao +1 · 1 citation
    Mathematics · Physics and Astronomy · #Numerical methods for differential equations #Advanced Mathematical Physics Problems #Model Reduction and Neural Networks
11. A second order low-regularity integrator for the nonlinear Schrödinger equation
    2021/09/02 by Ostermann, Alexander, Yao, Fangyan, Wu, Yifei · 1 citation
    #35Q55 #65M12 #65M15 #FOS: Mathematics #Numerical Analysis (math.NA)
12. A Fourier integrator for the cubic nonlinear Schrödinger equation with rough initial data
    2018/07/03 by Knöller, Marvin, Ostermann, Alexander, Schratz, Katharina · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
13. Should exponential integrators be used for advection-dominated problems?
    2024/10/16 by Lukas Einkemmer, Einkemmer, Lukas, T. T. H. Hoang +3 · 2 citations
    Mathematics · #65L04 #65M12 #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
14. Low regularity error estimates for the time integration of 2D NLS
    2023/01/25 by Ji, Lun, Ostermann, Alexander, Rousset, Frédéric +1 · 1 citation
    #35Q55 #65M12 #65M15 #FOS: Mathematics #Numerical Analysis (math.NA)
15. Low regularity full error estimates for the cubic nonlinear Schrödinger equation
    2023/11/24 by Lun Ji, Ji, Lun, Alexander Ostermann +5 · 1 citation
    Engineering · Mathematics · #35Q55 #65M12 #65M15 #Advanced Mathematical Physics Problems #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
16. Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
    2024/02/17 by Lun Ji, Hang Li, Ji, Lun +5 · 1 citation
    Mathematics · Engineering · #Advanced Mathematical Physics Problems #Numerical methods for differential equations #Computational Fluid Dynamics and Aerodynamics