Anton Arnold

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 17

Top Topics

Boundary Conditions

Finite Difference

Top Venues

J. Comput. Phys.

J. Comput. Appl. Math.

Publications

Anton Arnold, Jannis Körner
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation. CoRR (2024)
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 (2024)
Anton Arnold, Jannis Körner
High-order WKB-based Method For The 1D Stationary Schrödinger Equation In The Semi-classical Limit. CoRR (2023)
Franz Achleitner, Anton Arnold, Ansgar Jüngel
Hypocoercivity for Linear ODEs and Strong Stability for Runge-Kutta Methods. CoRR (2023)
Franz Achleitner, Anton Arnold, Ansgar Jüngel
Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods. CoRR (2023)
Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation. CoRR (2023)
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 (2022)
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
On the limiting amplitude principle for the wave equation with variable coefficients. CoRR (2022)
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 (2022)
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 (2022)
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 (2021)
Jannis Körner, Anton Arnold, Kirian Döpfner
WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime. CoRR (2021)
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
An adaptive finite element method for high-frequency scattering problems with variable coefficients. CoRR (2021)
Anton Arnold, Claudia Negulescu
Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions. Numerische Mathematik 138 (2) (2018)
Dominik Sturzer, Anton Arnold, Andreas Kugi
Closed-loop stability analysis of a gantry crane with heavy chain and payload. Int. J. Control 91 (8) (2018)
Lei Bian, Gang Pang, Shaoqiang Tang, Anton Arnold
ALmost EXact boundary conditions for transient Schrödinger-Poisson system. J. Comput. Phys. 313 (2016)
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) (2016)
Anton Arnold, Matthias Ehrhardt
A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics. FDM (2014)
René Hammer, Walter Pötz, Anton Arnold
Single-cone real-space finite difference scheme for the time-dependent Dirac equation. J. Comput. Phys. 265 (2014)
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 (2014)
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) (2011)
Anton Arnold, Maike Schulte
Transparent boundary conditions for quantum-waveguide simulations. Math. Comput. Simul. 79 (4) (2008)
Anton Arnold
Numerically Absorbing Boundary Conditions for Quantum Evolution Equations. VLSI Design 1998 (1) (1998)