Anton Arnold - researchr alias

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Viewing Publication 1 - 17 from 17

2025

Trend to Equilibrium and Hypoelliptic Regularity for the Relativistic Fokker-Planck EquationAnton Arnold, Gayrat Toshpulatov. siamma, 57(3):2911-2951, 2025. [doi]

WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equationAnton Arnold, Jannis Körner. adcm, 51(3):23, June 2025. [doi]

Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regimeAnton Arnold, Christian Klein 0002, Jannis Körner, Jens Markus Melenk. jcam, 457:116240, 2025. [doi]

2022

An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficientsAnton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev. cma, 109:1-14, 2022. [doi]

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. jcphy, 457:111118, 2022. [doi]

WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regimeJannis Körner, Anton Arnold, Kirian Döpfner. jcam, 404:113905, 2022. [doi]

2021

On the Abramov approach for the approximation of whispering gallery modes in prolate spheroidsPierluigi Amodio, Anton Arnold, Tatiana V. Levitina, Giuseppina Settanni, Ewa B. Weinmüller. amc, 409:125599, 2021. [doi]

2018

Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regionsAnton Arnold, Claudia Negulescu. nm, 138(2):501-536, 2018. [doi]

Closed-loop stability analysis of a gantry crane with heavy chain and payloadDominik Sturzer, Anton Arnold, Andreas Kugi. ijcon, 91(8):1931-1943, 2018. [doi]

2016

ALmost EXact boundary conditions for transient Schrödinger-Poisson systemLei Bian, Gang Pang, Shaoqiang Tang, Anton Arnold. jcphy, 313:233-246, 2016. [doi]

Stability of an Euler-Bernoulli Beam With a Nonlinear Dynamic Feedback SystemMaja Miletic, Dominik Sturzer, Anton Arnold, Andreas Kugi. tac, 61(10):2782-2795, 2016. [doi]

2014

A Transparent Boundary Condition for an Elastic Bottom in Underwater AcousticsAnton Arnold, Matthias Ehrhardt. fdm 2015: 15-24 [doi]

A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+1)DRené Hammer, Walter Pötz, Anton Arnold. jcphy, 256:728-747, 2014. [doi]

Single-cone real-space finite difference scheme for the time-dependent Dirac equationRené Hammer, Walter Pötz, Anton Arnold. jcphy, 265:50-70, 2014. [doi]

2011

WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical LimitAnton Arnold, Naoufel Ben Abdallah, Claudia Negulescu. siamnum, 49(4):1436-1460, 2011. [doi]

2008

Transparent boundary conditions for quantum-waveguide simulationsAnton Arnold, Maike Schulte. mcs, 79(4):898-905, 2008. [doi]

1998

Numerically Absorbing Boundary Conditions for Quantum Evolution EquationsAnton Arnold. vlsi, 1998(1):313-319, 1998. [doi]

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