Katharina Schratz
- Asymptotic preserving schemes for the Klein–Gordon equation in the non-relativistic limit regime
2013/06/01 by Erwan Faou, Katharina Schratz · 2 citations
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Numerical methods for differential equations #Electromagnetic Simulation and Numerical Methods
- A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics
2024/07/04 by Tianyu Jin, Jin, Tianyu, Georg Maierhofer +5 · 3 citations
Computer Science · Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
- An exponential-type integrator for the KdV equation
2016/01/01 by Martina Hofmanová, Hofmanova, Martina, Katharina Schratz +1 · 2 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- 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
- Convergence error estimates at low regularity for time discretizations of KdV
2021/02/22 by Frédéric Rousset, Katharina Schratz, Rousset, Frédéric +1 · 1 citation
Mathematics · Engineering · #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods
- Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter
2021/05/08 by María Cabrera Calvo, Calvo, María Cabrera, Katharina Schratz +1 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Time integrators for dispersive equations in the long wave regime
2021/05/08 by María Cabrera Calvo, Calvo, María Cabrera, Frédéric Rousset +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- G-Adaptivity: optimised graph-based mesh relocation for finite element methods
2024/07/05 by James Rowbottom, Georg Maierhofer, Rowbottom, James +13 · 2 citations
Computer Science · #Contact Mechanics and Variational Inequalities #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Solving the linear semiclassical Schrödinger equation on the real line
2021/01/31 by Arieh Iserles, Iserles, Arieh, Karolina Kropielnicka +5 · 1 citation
Mathematics · Engineering · #Numerical methods for differential equations #Electromagnetic Simulation and Numerical Methods #Spectral Theory in Mathematical Physics
- Low regularity integrators for semilinear parabolic equations with maximum bound principles
2022/11/08 by Cao-Kha Doan, Thi‐Thao‐Phuong Hoang, Doan, Cao-Kha +5 · 1 citation
Engineering · Mathematics · #35K55 #65M12 #65M22 #65R20 #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Low regularity full error estimates for the cubic nonlinear Schrödinger equation
2023/11/24 by Lun Ji, Alexander Ostermann, Ji, Lun +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
- Resonances as a computational tool
2024/05/17 by Frédéric Rousset, Rousset, Frédéric, Katharina Schratz +1 · 1 citation
Computer Science · #FOS: Mathematics #Neural Networks and Applications #Numerical Analysis (math.NA)