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ORCIDAnton Arnold
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2020 – today
- 2025
[j14]Anton Arnold
, Christian Klein, Jannis Körner, Jens Markus Melenk:
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. J. Comput. Appl. Math. 457: 116240 (2025)- 2024
- [i9]Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk:
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. CoRR abs/2401.10141 (2024) - [i8]Anton Arnold, Jannis Körner:
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation. CoRR abs/2402.18406 (2024) - 2023
- [i7]Franz Achleitner, Anton Arnold, Ansgar Jüngel:
Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods. CoRR abs/2308.05689 (2023) - [i6]Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk:
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation. CoRR abs/2310.00955 (2023) - [i5]Anton Arnold, Jannis Körner:
High-order WKB-based Method For The 1D Stationary Schrödinger Equation In The Semi-classical Limit. CoRR abs/2310.00963 (2023) - [i4]Franz Achleitner, Anton Arnold, Ansgar Jüngel:
Hypocoercivity for Linear ODEs and Strong Stability for Runge-Kutta Methods. CoRR abs/2310.19758 (2023) - 2022
- [j13]Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev:
An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients. Comput. Math. Appl. 109: 1-14 (2022) - [j12]Jannis Körner, Anton Arnold, Kirian Döpfner:
WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime. J. Comput. Appl. Math. 404: 113905 (2022) - [j11]René Hammer, Walter Pötz, Anton Arnold:
Corrigendum to "Single-cone real-space finite difference scheme for the time-dependent Dirac equation" [J. Comput. Phys. 265 (2014) 50-70]. J. Comput. Phys. 457: 111118 (2022) - [i3]Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev:
On the limiting amplitude principle for the wave equation with variable coefficients. CoRR abs/2202.10105 (2022) - 2021
- [j10]Pierluigi Amodio, Anton Arnold, Tatiana V. Levitina, Giuseppina Settanni, Ewa B. Weinmüller:
On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids. Appl. Math. Comput. 409: 125599 (2021) - [i2]Jannis Körner, Anton Arnold, Kirian Döpfner:
WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime. CoRR abs/2102.03107 (2021) - [i1]Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev:
An adaptive finite element method for high-frequency scattering problems with variable coefficients. CoRR abs/2103.02511 (2021)
2010 – 2019
- 2018
- [j9]Dominik Sturzer, Anton Arnold, Andreas Kugi:
Closed-loop stability analysis of a gantry crane with heavy chain and payload. Int. J. Control 91(8): 1931-1943 (2018) - [j8]Anton Arnold, Claudia Negulescu:
Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions. Numerische Mathematik 138(2): 501-536 (2018) - 2016
- [j7]Lei Bian, Gang Pang, Shaoqiang Tang, Anton Arnold:
ALmost EXact boundary conditions for transient Schrödinger-Poisson system. J. Comput. Phys. 313: 233-246 (2016) - [j6]Maja Miletic, Dominik Sturzer, Anton Arnold, Andreas Kugi:
Stability of an Euler-Bernoulli Beam With a Nonlinear Dynamic Feedback System. IEEE Trans. Autom. Control. 61(10): 2782-2795 (2016) - 2014
- [j5]René Hammer, Walter Pötz, Anton Arnold:
A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+1)D. J. Comput. Phys. 256: 728-747 (2014) - [j4]René Hammer, Walter Pötz, Anton Arnold:
Single-cone real-space finite difference scheme for the time-dependent Dirac equation. J. Comput. Phys. 265: 50-70 (2014) - [c1]Anton Arnold, Matthias Ehrhardt:
A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics. FDM 2014: 15-24 - 2011
- [j3]Anton Arnold, Naoufel Ben Abdallah, Claudia Negulescu:
WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit. SIAM J. Numer. Anal. 49(4): 1436-1460 (2011)
2000 – 2009
- 2008
- [j2]Anton Arnold, Maike Schulte:
Transparent boundary conditions for quantum-waveguide simulations. Math. Comput. Simul. 79(4): 898-905 (2008)
1990 – 1999
- 1998
- [j1]Anton Arnold:
Numerically Absorbing Boundary Conditions for Quantum Evolution Equations. VLSI Design 6(1-4): 313-319 (1998)
Coauthor Index
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