Anton Arnold

According to our database, Anton Arnold authored at least 22 papers between 1998 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2025

Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime.

Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk

J. Comput. Appl. Math., 2025

2024

WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation.

Anton Arnold, Jannis Körner

CoRR, 2024

2023

Hypocoercivity for Linear ODEs and Strong Stability for Runge-Kutta Methods.

Franz Achleitner, Anton Arnold, Ansgar Jüngel

CoRR, 2023

High-order WKB-based Method For The 1D Stationary Schrödinger Equation In The Semi-classical Limit.

Anton Arnold, Jannis Körner

CoRR, 2023

Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation.

Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk

CoRR, 2023

Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods.

Franz Achleitner, Anton Arnold, Ansgar Jüngel

CoRR, 2023

2022

Corrigendum to "Single-cone real-space finite difference scheme for the time-dependent Dirac equation" [J. Comput. Phys. 265 (2014) 50-70].

René Hammer, Walter Pötz, Anton Arnold

J. Comput. Phys., 2022

WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime.

Jannis Körner, Anton Arnold, Kirian Döpfner

J. Comput. Appl. Math., 2022

On the limiting amplitude principle for the wave equation with variable coefficients.

Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev

CoRR, 2022

An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients.

Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev

Comput. Math. Appl., 2022

2021

An adaptive finite element method for high-frequency scattering problems with variable coefficients.

Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev

CoRR, 2021

On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids.

Pierluigi Amodio, Anton Arnold, Tatiana V. Levitina, Giuseppina Settanni, Ewa B. Weinmüller

Appl. Math. Comput., 2021

2018

Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions.

Anton Arnold, Claudia Negulescu

Numerische Mathematik, 2018

Closed-loop stability analysis of a gantry crane with heavy chain and payload.

Dominik Sturzer, Anton Arnold, Andreas Kugi

Int. J. Control, 2018

2016

Stability of an Euler-Bernoulli Beam With a Nonlinear Dynamic Feedback System.

Maja Miletic, Dominik Sturzer, Anton Arnold, Andreas Kugi

IEEE Trans. Autom. Control., 2016

ALmost EXact boundary conditions for transient Schrödinger-Poisson system.

Lei Bian, Gang Pang, Shaoqiang Tang, Anton Arnold

J. Comput. Phys., 2016

2014

A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+1)D.

René Hammer, Walter Pötz, Anton Arnold

J. Comput. Phys., 2014

Single-cone real-space finite difference scheme for the time-dependent Dirac equation.

René Hammer, Walter Pötz, Anton Arnold

J. Comput. Phys., 2014

A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics.

Anton Arnold, Matthias Ehrhardt

Proceedings of the Finite Difference Methods, Theory and Applications, 2014

2011

WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit.

Anton Arnold, Naoufel Ben Abdallah, Claudia Negulescu

SIAM J. Numer. Anal., 2011

2008

Transparent boundary conditions for quantum-waveguide simulations.

Anton Arnold, Maike Schulte

Math. Comput. Simul., 2008

1998

Numerically Absorbing Boundary Conditions for Quantum Evolution Equations.

Anton Arnold

VLSI Design, 1998