Anton Arnold

26 papers Journal 25Unranked 1
YearRankTypeTitle / Venue / Authors
2025 J jnl
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime.
J. Comput. Appl. Math.
Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk
2025 J jnl
Trend to Equilibrium and Hypoelliptic Regularity for the Relativistic Fokker-Planck Equation.
SIAM J. Math. Anal.
Anton Arnold, Gayrat Toshpulatov
2025 J jnl
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation.
Adv. Comput. Math.
Anton Arnold, Jannis Körner
2024 J jnl
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime.
CoRR
Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk
2024 J jnl
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation.
CoRR
Anton Arnold, Jannis Körner
2023 J jnl
High-order WKB-based Method For The 1D Stationary Schrödinger Equation In The Semi-classical Limit.
CoRR
Anton Arnold, Jannis Körner
2023 J jnl
Hypocoercivity for Linear ODEs and Strong Stability for Runge-Kutta Methods.
CoRR
Franz Achleitner, Anton Arnold, Ansgar Jüngel
2023 J jnl
Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods.
CoRR
Franz Achleitner, Anton Arnold, Ansgar Jüngel
2023 J jnl
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation.
CoRR
Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk
2022 J jnl
An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients.
Comput. Math. Appl.
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
2022 J jnl
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.
René Hammer, Walter Pötz, Anton Arnold
2022 J jnl
On the limiting amplitude principle for the wave equation with variable coefficients.
CoRR
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
2022 J jnl
WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime.
J. Comput. Appl. Math.
Jannis Körner, Anton Arnold, Kirian Döpfner
2021 J jnl
An adaptive finite element method for high-frequency scattering problems with variable coefficients.
CoRR
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
2021 J jnl
On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids.
Appl. Math. Comput.
Pierluigi Amodio, Anton Arnold, Tatiana V. Levitina, Giuseppina Settanni, Ewa B. Weinmüller
2021 J jnl
WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime.
CoRR
Jannis Körner, Anton Arnold, Kirian Döpfner
2018 J jnl
Closed-loop stability analysis of a gantry crane with heavy chain and payload.
Int. J. Control
Dominik Sturzer, Anton Arnold, Andreas Kugi
2018 J jnl
Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions.
Numerische Mathematik
Anton Arnold, Claudia Negulescu
2016 J jnl
ALmost EXact boundary conditions for transient Schrödinger-Poisson system.
J. Comput. Phys.
Lei Bian, Gang Pang, Shaoqiang Tang, Anton Arnold
2016 J jnl
Stability of an Euler-Bernoulli Beam With a Nonlinear Dynamic Feedback System.
IEEE Trans. Autom. Control.
Maja Miletic, Dominik Sturzer, Anton Arnold, Andreas Kugi
2014 — conf
A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics.
FDM
Anton Arnold, Matthias Ehrhardt
2014 J jnl
A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+1)D.
J. Comput. Phys.
René Hammer, Walter Pötz, Anton Arnold
2014 J jnl
Single-cone real-space finite difference scheme for the time-dependent Dirac equation.
J. Comput. Phys.
René Hammer, Walter Pötz, Anton Arnold
2011 J jnl
WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit.
SIAM J. Numer. Anal.
Anton Arnold, Naoufel Ben Abdallah, Claudia Negulescu
2008 J jnl
Transparent boundary conditions for quantum-waveguide simulations.
Math. Comput. Simul.
Anton Arnold, Maike Schulte
1998 J jnl
Numerically Absorbing Boundary Conditions for Quantum Evolution Equations.
VLSI Design
Anton Arnold