Numerically Absorbing Boundary Conditions for Quantum Evolution Equations. - Anton Arnold (VLSI Design, 1998)

Transparent boundary conditions for quantum-waveguide simulations. - Anton Arnold; Maike Schulte (Math. Comput. Simul., 2008)

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)

A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics. - Anton Arnold; Matthias Ehrhardt 001 (FDM, 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 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)

ALmost EXact boundary conditions for transient Schrödinger-Poisson system. - Lei Bian; Gang Pang; Shaoqiang Tang; Anton Arnold (J. Comput. Phys., 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)

Closed-loop stability analysis of a gantry crane with heavy chain and payload. - Dominik Sturzer; Anton Arnold; Andreas Kugi (Int. J. Control, 2018)

Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions. - Anton Arnold; Claudia Negulescu (Numerische Mathematik, 2018)

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)

An adaptive finite element method for high-frequency scattering problems with variable coefficients. - Anton Arnold; Sjoerd Geevers; Ilaria Perugia; Dmitry Ponomarev 002 (CoRR, 2021)

An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients. - Anton Arnold; Sjoerd Geevers; Ilaria Perugia; Dmitry Ponomarev 002 (Comput. Math. Appl., 2022)

On the limiting amplitude principle for the wave equation with variable coefficients. - Anton Arnold; Sjoerd Geevers; Ilaria Perugia; Dmitry Ponomarev 002 (CoRR, 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)

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)

Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods. - Franz Achleitner; Anton Arnold; Ansgar Jüngel (CoRR, 2023)

Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation. - Jannis Körner; Anton Arnold; Christian Klein 002; Jens Markus Melenk (CoRR, 2023)

High-order WKB-based Method For The 1D Stationary Schrödinger Equation In The Semi-classical Limit. - Anton Arnold; Jannis Körner (CoRR, 2023)

Hypocoercivity for Linear ODEs and Strong Stability for Runge-Kutta Methods. - Franz Achleitner; Anton Arnold; Ansgar Jüngel (CoRR, 2023)

Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. - Anton Arnold; Christian Klein 002; Jannis Körner; Jens Markus Melenk (J. Comput. Appl. Math., 2025)

Trend to Equilibrium and Hypoelliptic Regularity for the Relativistic Fokker-Planck Equation. - Anton Arnold; Gayrat Toshpulatov (SIAM J. Math. Anal., 2025)

WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation. - Anton Arnold; Jannis Körner (Adv. Comput. Math., 2025)