Publications
Books/Bookcontributions

A. Zisowsky, A. Arnold, M. Ehrhardt, T. Koprucki: Transient Simulation of \(k p\)  Schrödinger Systems using discrete transparent Boundary Conditions, MultiBand Effective Mass Approximations, Advanced Mathematical Models and Numerical Techniques (2014) 247272, M. Ehrhardt, T. Koprucki (Eds.), Springer (2014). [pdf] [www]

A. Arnold, M. Ehrhardt, M. Schulte: Numerical Simulation of Quantum wave guides, VLSI and Computer Architecture (2009). ISBN: 9781606920756, K. Watanabe (Ed.), Nova Publishers (2009). [pdf] [www]

G. Allaire, A. Arnold, P. Degond, T. Y. Hou: Quantum Transport  Modelling, Analysis and Asymptotics, Lecture Notes in Mathematics 1946 (2008). ISBN: 9783540795735, Springer (2008), Berlin. [pdf] [www]

A. Arnold, A. Jüngel: Multiscale modeling of quantum semiconductor devices, Analysis, Modeling and Simulation of Multiscale Problems (2006) 331363, A. Mielke (Ed.), Springer (2006), BerlinHeidelberg. [pdf] [www]

N. Ben Abdallah, A. Arnold, P. Degond, I. M. Gamba, R. T. Glassey, C. D. Levermore, C. Ringhofer (eds.): Dispersive Transport Equations and Multiscale Models, IMA Volumes in Mathematics and its Applications 136 (2003), Springer (2003), New York. [pdf] [www]

N. Ben Abdallah, A. Arnold, P. Degond, I. M. Gamba, R. T. Glassey, C. D. Levermore, C. Ringhofer (eds.): Transport in Transition Regimes, IMA Volumes in Mathematics and its Applications 135 (2003), Springer (2003), New York. [pdf] [www]
Publications in refereed journals

A. Arnold, G. Toshpulatov: Exponential stability and hypoelliptic regularization for the kinetic FokkerPlanck equation with confining potential, Submitted (2023). [pdf]

A. Arnold, A. Einav, T. Wöhrer: Sharp Decay of the Fisher Information for Degenerate Fokker—Planck Equations, Submitted (2023). [pdf]

F. Achleitner, A. Arnold, V. Mehrmann, E. A. Nigsch: Hypocoercivity in Hilbert spaces, Submitted (2023). [pdf]

A. Arnold, A. Einav, T. Wöhrer: Generalised Fisher Information Approach to Defective FokkerPlanck Equations, Submitted (2022). [pdf]

A. Arnold, S. Geevers, I. Perugia, D. Ponomarev: On the limiting amplitude principle for the wave equation with variable coefficients, Submitted (2022). [pdf]

A. Arnold, J. Erb: Sharp entropy decay for hypocoercive and nonsymmetric FokkerPlanck equations with linear drift, Submitted (2020). [pdf]

F. Achleitner, A. Arnold, V. Mehrmann: Hypocoercivity in algebraically constrained partial differential equations with application to Oseen equations, J. Dynam. Differential Equations (2023). [pdf]

F. Achleitner, A. Arnold, V. Mehrmann: Hypocoercivity and controllability in linear semidissipative Hamiltonian ordinary differential equations and differentialalgebraic equations, ZAMM 103 (2023). e202100171; 30pp. [pdf] [www]

F. Achleitner, A. Arnold, E. A. Carlen: The Hypocoercivity Index for the short time behavior of linear timeinvariant ODE systems, Journal of Differential Equations 371 (2023) 83115. [pdf] [www]

F. Achleitner, A. Arnold, V. Mehrmann: Hypocoercivity and hypocontractivity concepts for linear dynamical systems, Electron. J. Linear Algebra 39 (2023) 3361. [pdf] [www]

A. Arnold, B. Signorello: Optimal nonsymmetric FokkerPlanck equation for the convergence to a given equilibrium, Kinetic and Related Models 15, No. 5 (2022) 753773. [pdf] [www]

A. Arnold, S. Geevers, I. Perugia, D. Ponomarev: On the exponential timedecay for the onedimensional wave equation with variable coefficients, Comm. on Pure and Applied Analysis 21, No. 10 (2022) 33893405. [pdf] [www]

A. Arnold, C. Schmeiser, B. Signorello: Propagator norm and sharp decay estimates for FokkerPlanck equations with linear drift, Comm. Math. Sc. 20, No. 4 (2022) 10471080. [pdf] [www]

A. Arnold, C. Klein, B. Ujvari: WKBmethod for the 1D Schrödinger equation in the semiclassical limit: enhanced phase treatment, BIT Numerical Mathematics 62 (2022) 122. [pdf] [www]

A. Arnold, S. Geevers, I. Perugia, D. Ponomarev: An adaptive finite element method for highfrequency scattering problems with variable coefficients, Computers Math. Applic. 109 (2022) 114. [pdf] [www]

J. Körner, A. Arnold, K. Döpfner: WKBbased scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime, J. Comput. Appl. Math. 404 (2022) 113905, 18 pp. [pdf] [www]

P. Amodio, A. Arnold, T. Levitina, G. Settanni, E. Weinmüller: On the Abramov approach for the numerical simulation of the whispering gallery modes in prolate spheroids, Appl. Math. Comput. 409, No. 125599 (2021) 114. [pdf] [www]

A. Arnold, A. Einav, B. Signorello, T. Wöhrer: Large Time Convergence of the Nonhomogeneous GoldsteinTaylor Equation, J. Stat. Phys. 182 (2021) 41. [pdf] [www]

A. Arnold, K. Döpfner: Stationary Schrödinger equation in the semiclassical limit: WKBbased scheme coupled to a turning point, Calcolo 57, No. 1, Paper no. 3 (2020) 44 pp. [pdf] [www]

A. Arnold, S. Jin, T. Wöhrer: Sharp Decay Estimates in Local Sensitivity Analysis for Evolution Equations with Uncertainties: from ODEs to Linear Kinetic Equations, Journal of Differential Equations 268, No. 3 (2020) 11561204. [pdf] [www]

D. Stürzer, A. Arnold, A. Kugi: Closedloop Stability Analysis of a Gantry Crane with Heavy Chain, International Journal of Control 91, No. 8 (2018) 19311943. [pdf] [www]

F. Achleitner, A. Arnold, E. A. Carlen: On multidimensional hypocoercive BGK models, Kinetic and Related Models 11, No. 4 (2018) 9531009. [pdf] [www]

A. Arnold, C. Negulescu: Stationary Schrödinger equation in the semiclassical limit: numerical coupling of oscillatory and evanescent regions, Numerische Mathematik 138, No. 2 (2018) 501536. [pdf] [www]

A. Arnold, A. Einav, T. Wöhrer: On The Rates of Decay to Equilibrium in Degenerate and Defective FokkerPlanck Equations, Journal of Differential Equations 264, No. 11 (2018) 68436872. [pdf] [www]

L. Bian, G. Pang, S. Tang, A. Arnold: ALmost EXact boundary conditions for transient SchrödingerPoisson system, J. Comput. Phys. 313 (2016) 233246. [pdf] [www]

M. Miletić, D. Stürzer, A. Arnold, A. Kugi: Stability of an EulerBernoulli beam with a nonlinear dynamic feedback system, IEEE Trans. Autom. Control 61, No. 10 (2016) 27822795. [pdf] [www]

M. Miletić, A. Arnold: A piezoelectric EulerBernoulli beam with dynamic boundary control: Stability and dissipative FEM, Acta Applicandae Mathematicae 138, No. 1 (2015) 241277. [pdf] [www]

F. Achleitner, A. Arnold, D. Stürzer: Largetime behavior in nonsymmetric FokkerPlanck equations, Rivista di Matematica della Università di Parma 6 (2015) 168. [pdf]

M. Miletić, D. Stürzer, A. Arnold: An EulerBernoulli beam with nonlinear damping and a nonlinear spring at the tip, Discrete Contin. Dyn. Sys. Ser. B 20, No. 9 (2015) 30293055. [pdf] [www]

R. Hammer, W. Pötz, A. Arnold: Singlecone realspace finite difference scheme for the timedependent Dirac equation, J. Comput. Phys. 265 (2014) 5070. Erratum: Vol. 457 (2022), Paper No. 111118. [pdf] [www]

D. Stürzer, A. Arnold: Spectral Analysis and LongTime Behaviour of a FokkerPlanck Equation with a NonLocal Perturbation, Rendiconti Lincei Cl. Sci. Fis. Mat. Natur. 25, No. 1 (2014) 5389. Erratum: Vol. 27 (2016) 147149. [pdf] [www]

R. Hammer, W. Pötz, A. Arnold: A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equations in (1+1)D, J. Comput. Phys. 256 (2014) 728747. [pdf] [www]

L. Neumann, A. Arnold, W. Hochhauser: Zur Stabilität von geklebten und geklotzten Glasscheiben: Beurteilung der Dunkerley'schen Geraden zur Beulwertbestimmung, Bauingenieur 1 (2013) 1421. [pdf]

A. Arnold, J. Kim, X. Yao: Estimates for a class of oscillatory integrals and decay rates for wavetype equations, J. Math. Anal. Appl. 394, No. 1 (2012) 139151. [pdf] [www]

A. Arnold, M. Ehrhardt, M. Schulte, I. Sofronov: Discrete transparent boundary conditions for the Schrödinger equation on circular domains, Comm. Math. Sc. 10, No. 3 (2012) 889916. [pdf]

J. Kim, A. Arnold, X. Yao: Global estimates of fundamental solutions for higherorder Schrödinger equations, Monatshefte für Mathematik 168, No. 2 (2012) 253266. [pdf] [www]

A. Arnold, L. Desvillettes, C. Prévost: Existence of nontrivial steady states for populations structured with respect to space and a continuous trait, Comm. on Pure and Applied Analysis 11, No. 1 (2012) 8396. [pdf] [www]

A. Arnold, I. M. Gamba, M. P. Gualdani, S. Mischler, C. Mouhot, C. Sparber: The WignerFokkerPlanck equation: stationary states and large time behavior, Math. Models and Meth. in the Appl. Sc. 22, No. 111250034 (31 pages) (2012). [pdf] [www]

A. Arnold, N. Ben Abdallah, C. Negulescu: WKBbased schemes for the oscillatory 1D Schrödinger equation in the semiclassical limit, SIAM J. Numer. Anal. 49, No. 4 (2011) 14361460. [pdf] [www]

A. Arnold, J. A. Carrillo, C. Manzini: Refined longtime asymptotics for some polymeric fluid flow models, Comm. Math. Sc. 8, No. 3 (2010) 763782. [pdf] [www]

X. Antoine, A. Arnold, C. Besse, M. Ehrhardt, A. Schädle: A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations, Commun. Comput. Phys. 4, No. 4 (2008) 729796. [pdf] [www]

A. Arnold, J. A. Carrillo, C. Klapproth: Improved entropy decay estimates for the heat equation, J. Math. Anal. Appl. 343, No. 1 (2008) 190206. [pdf] [www]

A. Arnold, E. A. Carlen, Q. Ju: Largetime behavior of nonsymmetric FokkerPlanck type equations, Communications on Stochastic Analysis 2, No. 1 (2008) 153175. [pdf] [www]

M. Schulte, A. Arnold: Discrete transparent boundary conditions for the Schrödinger equation  a compact higher order scheme, Kinetic and Related Models 1, No. 1 (2008) 101125. [pdf] [www]

A. Arnold, E. Dhamo, C. Manzini: The WignerPoissonFokkerPlanck system: globalintime solutions and dispersive effects, Ann. Inst. H. Poincaré C, Anal. Non Linéaire 24, No. 4 (2007) 645676. [pdf] [www]

A. Arnold, J.P. Bartier, J. Dolbeault: Interpolation between Logarithmic Sobolev and Poincaré Inequalities, Comm. Math. Sc. 5, No. 4 (2007) 971979. [pdf] [www]

A. Arnold, E. Dhamo, C. Manzini: Dispersive effects in quantum kinetic equations, Indiana Univ. Math. J. 56, No. 3 (2007) 12991331. [pdf] [www]

A. Zisowsky, A. Arnold, M. Ehrhardt, T. Koprucki: Discrete Transparent Boundary Conditions for transient kpSchrödinger Equations with Application to QuantumHeterostructures, ZAMM 85, No. 11 (2005) 793805. [pdf] [www]

A. Arnold, J. Dolbeault: Refined Convex Sobolev Inequalities, J. Funct. Anal. 225, No. 2 (2005) 337351. [pdf] [www]

A. Arnold, J. A. Carrillo, L. Desvillettes, J. Dolbeault, A. Jüngel, C. Lederman, P. A. Markowich, G. Toscani, C. Villani: Entropies and Equilibria of ManyParticle Systems: An Essay on Recent Research, Monatshefte für Mathematik 142, No. 12 (2004) 3543. [pdf] [www]

A. Arnold, C. Sparber: Quantum dynamical semigroups for diffusion models with Hartree interaction, Comm. Math. Phys. 251, No. 1 (2004) 179207. [pdf] [www]

A. Arnold, R. Bosi: Global existence of the von Neumann equation for HartreeFock systems with RelaxationTime, Submitted (2004). [pdf]

A. Arnold, J. L. López, P. A. Markowich, J. Soler: An Analysis of Quantum FokkerPlanck Models: A Wigner Function Approach, Rev. Mat. Iberoam. 20, No. 3 (2004) 771814. [pdf] [www]

A. Arnold, M. Ehrhardt, I. Sofronov: Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability, Comm. Math. Sc. 1, No. 3 (2003) 501556. [pdf] [www]

A. Arnold, A. Unterreiter: Entropy Decay of Discretized FokkerPlanck Equations I  Temporal SemiDiscretization, Computers Math. Applic. 46, No. 1011 (2003) 16831690. [pdf] [www]

A. Arnold, J. A. Carrillo, E. Dhamo: On the periodic WignerPoissonFokkerPlanck system, J. Math. Anal. Appl. 275 (2002) 263276. [pdf] [www]

A. Arnold, J. A. Carrillo, M. D. Tidriri: Largetime behavior of discrete kinetic equations with nonsymmetric interactions, Math. Models and Meth. in the Appl. Sc. 12, No. 11 (2002) 15551564. [pdf] [www]

A. Arnold: Mathematical concepts of open quantum boundary conditions, Transp. Theo. Stat. Phys. 30, No. 46 (2001) 561584. [pdf] [www]

M. Ehrhardt, A. Arnold: Discrete Transparent Boundary Conditions for the Schrödinger Equation, Rivista di Matematica della Università di Parma 6, No. 4 (2001) 57108. [pdf]

A. Arnold, J. A. Carrillo, I. M. Gamba, C.W. Shu: Low and High Field Scaling Limits for the Vlasov and WignerPoissonFokkerPlanck Systems, Transp. Theo. Stat. Phys. 30, No. 23 (2001) 121153. [pdf] [www]

A. Arnold, P. A. Markowich, G. Toscani, A. Unterreiter: On convex Sobolev inequalities and the rate of convergence to equilibrium for FokkerPlanck type equations, Comm. PDE 26, No. 12 (2001) 43100. [pdf] [www]

A. Arnold, P. A. Markowich, G. Toscani: On large time asymptotics for driftdiffusionPoisson systems, Transp. Theo. Stat. Phys. 29, No. 35 (2000) 571581. [pdf] [www]

A. Unterreiter, A. Arnold, P. A. Markowich, G. Toscani: On generalized CsiszárKullback inequalities, Monatshefte für Mathematik 131, No. 3 (2000) 235253. [pdf] [www]

A. Arnold, H. Lange, P. F. Zweifel: A discretevelocity, stationary Wigner equation, J. Math. Phys. 41, No. 11 (2000) 71677180. [pdf] [www]

A. Arnold: Numerically absorbing boundary conditions for quantum evolution equations, VLSI Design 6, No. 14 (1998) 313319. [pdf] [www]

A. Arnold, M. Ehrhardt: Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics, J. Comput. Phys. 145, No. 2 (1998) 611638. [pdf] [www]

A. Arnold, U. Giering: An Analysis of the Marshak Conditions for matching Boltzmann and Euler Equations, Math. Models and Meth. in the Appl. Sc. 7, No. 4 (1997) 557577. [pdf] [www]

A. Arnold, C. Ringhofer: An operator splitting method for the WignerPoisson problem, SIAM J. Numer. Anal. 33, No. 4 (1996) 16221643. [pdf] [www]

A. Arnold, L. L. Bonilla, P. A. Markowich: Liapunov functionals and largetime asymptotics of meanfield nonlinear FokkerPlanck equations, Transp. Theo. Stat. Phys. 25, No. 7 (1996) 733751. [pdf] [www]

A. Arnold: Selfconsistent relaxationtime models in quantum mechanics, Comm. PDE 21, No. 3&4 (1996) 473506. [pdf] [www]

A. Arnold, C. Ringhofer: Operator splitting methods applied to spectral discretizations of quantum transport equations, SIAM J. Numer. Anal. 32, No. 6 (1995) 18761894. [pdf] [www]

A. Arnold: On absorbing boundary conditions for quantum transport equations, Math. Modell. Num. Anal. 28 (1994) 853872. [pdf] [www]

A. Arnold, F. Nier: Numerical analysis of the deterministic particle method applied to the Wigner equation, Math. of Comp. 58 (1992) 645669. [pdf] [www]

N. J. Mauser, A. Arnold, P. A. Markowich: The selfconsistent Blochequation in one dimension, Computers Math. Applic. 21 (1991) 197202. [pdf] [www]

A. Arnold, F. Nier: The twodimensional WignerPoisson problem for an electron gas in the charge neutral case, Math. Meth. Appl. Sc. 14 (1991) 595613. [pdf] [www]

A. Arnold, P. A. Markowich, N. J. Mauser: The onedimensional periodic BlochPoisson equation, Math. Models and Meth. in the Appl. Sc. 1 (1991) 83112. [pdf] [www]

A. Arnold, N. J. Mauser: An efficient method of bookkeeping next neighbours in molecular dynamics simulations, Comp. Phys. Comm. 59 (1990) 267275. [pdf] [www]

A. Arnold, P. A. Markowich: The periodic quantum LiouvillePoisson problem, Boll. U.M.I. 7 (1990) 449484. [pdf]

A. Arnold, N. J. Mauser, J. Hafner: A molecular dynamics study of the structure of liquid germanium, J. Phys., Cond. Matter 1 (1989) 965980. [pdf] [www]

A. Arnold, H. Steinrück: The 'electromagnetic' Wigner equation for an electron with spin, ZAMP 40, No. 6 (1989) 793815. [pdf] [www]

A. Arnold, P. Degond, P. A. Markowich, H. Steinrück: The WignerPoisson problem in a crystal, Appl. Math. Lett. 2, No. 2 (1989) 187191. [pdf] [www]
Publications in conference proceedings

A. Arnold, J. Körner: Highorder WKBbased method for the 1D stationary Schrödinger equation in the semiclassical limit, To appear in ICNAAM 2022 (2022), T.E. Simos, AIP Publishing. [pdf]

J. Körner, A. Arnold, C. Klein, J. M. Melenk: Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation, Submitted (2023). [pdf]

F. Achleitner, A. Arnold, A. Jüngel: Necessary and sufficient conditions for strong stability of explicit RungeKutta methods, Submitted (2023). [pdf]

A. Arnold, J. Dolbeault, C. Schmeiser, T. Wöhrer: Sharpening of decay rates in Fourier based hypocoercivity methods, Recent Advances in Kinetic Equations and Applications, Proceedings of INdAMworkshop, Rome, Nov. 2019, No. 48 (2021) 150, F. Salvarani (ed.), Springer INdAM Series. [pdf] [www]

K. Döpfner, A. Arnold: On the stationary Schrödinger equation in the semiclassical limit: Asymptotic blowup at a turning point, PAMM 19, No. 1 (2019). 90th GAMM Annual Meeting, Wiley. [pdf] [www]

F. Achleitner, A. Arnold, B. Signorello: On optimal decay estimates for ODEs and PDEs with modal decomposition, Stochastic Dynamics out of Equilibrium, Springer Proceedings in Mathematics & Statistics 282 (2019) 241264, G. Giacomin et al. (eds.), Springer. [pdf] [www]

F. Achleitner, A. Arnold, E. A. Carlen: On linear hypocoercive BGK models, Proceedings of "Particle Systems and PDE's  III", Braga, Portugal, Dec. 2014 126 (2016) 137. [pdf] [www]

A. Arnold, M. Ehrhardt: A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics, Proceedings of the "6th Conference on Finite Difference Methods: Theory and Applications," Lozenetz, Bulgaria, June 2014; in Lectures Notes in Computer Science 9045 "Finite Difference Methods, Theory and Applications" (2015) 1524, I. Dimov, I. Faragó, L. Vulkov (eds.), Springer. [pdf] [www]

A. Arnold, L. Neumann, W. Hochhauser: Stability of glued and embedded Glass Panes: Dunkerley straight Line as a conservative Estimate of superimposed buckling Coefficients, IFACPapersOnLine (2013) 124129. Proceedings of the "7th Vienna International Conference on Mathematical Modelling" (I. Troch, F. Breitenecker, Ed.), Vienna 2012. [pdf] [www]

J. Geier, A. Arnold: WKBbased schemes for twoband Schrödinger equations in the highly oscillatory regime, Nanosystems: Physics, Chemistry, Mathematics 2, No. 3 (2011) 728. [pdf]

M. Miletić, A. Arnold: EulerBernoulli Beam with Boundary Control: Stability and FEM, PAMM 11, No. 1 (2011) 681682. [pdf] [www]

A. Arnold, J. Geier: Asymptotically correct finite difference schemes for highly oscillatory ODEs, AIP Conference Proceedings 1281 (2010) 206209. International Conference of Numerical Analysis and Applied Mathematics 2010, T. E. Simos (ed.). [pdf] [www]

X. Antoine, A. Arnold, C. Besse, M. Ehrhardt, A. Schädle: A Review of artificial boundary conditions for the Schrödinger equation, PAMM 7, No. 1 (2008) 10232011023202. [pdf] [www]

A. Arnold, F. Fagnola, L. Neumann: Quantum FokkerPlanck models: the Lindblad and Wigner approaches, Quantum Probability and related Topics  Proceedings of the 28th Conference (Series: QPPQ: Quantum Probability and White Noise Analysis  Vol. 23), J.C. García, R. Quezada, S.B. Sontz (Eds.), World Scientific (2008). [pdf] [www]

A. Arnold, M. Schulte: Transparent boundary conditions for quantumwaveguide simulations, Proceedings of MATHMOD 2006, Vienna, Austria, Mathematics and Computers in Simulation 79 (2008) 898905. [pdf] [www]

A. Arnold, M. Schulte: Transparent boundary conditions for the 2D Schrödinger equation: efficient implementation, PAMM 7, No. 1 (2008) 10232031023204. [pdf] [www]

A. Arnold, M. Ehrhardt, I. Sofronov: Approximation and fast calculation of nonlocal boundary conditions for the timedependent Schrödinger equation, Domain Decomposition Methods in Science and Engineering (Series: Lecture Notes in Computational Science and Engineering) 40 (2004) 141148, R. Kornhuber, R. Hoppe, J. Périaux, O. Pironneau, O. Widlund, J. Xu (eds.), Springer. [pdf] [www]

M. Ehrhardt, A. Arnold: Discrete transparent boundary conditions for wide angle parabolic equations: Fast calculation and approximation, Proceedings of the "Seventh European Conference on Underwater Acoustics  ECUA 2004"  TU Delft, Netherlands, July 2004 (2004) 914, D. G. Simons (ed.). [pdf]

A. Arnold, M. Ehrhardt, I. Sofronov: A Fast method to implement nonlocal discrete transparent boundary condition for the Schrödinger equation, PAMM 2, No. 1 (2003) 424425. [pdf] [www]

A. Arnold, E. A. Carlen: A generalized BakryEmery condition for nonsymmetric diffusions, EQUADIFF 99, Proceedings of the "International Conference on Differential Equations", Berlin 1999, B. Fiedler, K. Gröger, J. Sprekels (eds.), World Scientific Publishing (2000) 732734. [pdf] [www]

A. Arnold, M. Ehrhardt: A new discrete transparent boundary condition for standard and wide angle "parabolic" equations in underwater acoustics, Theoretical and Computational Acoustics '97, Y.C. Teng et al. (ed.), Proceedings of the 3rd ICTCA, Newark, USA (1997) 623635. [pdf] [www]

A. Arnold: The relaxationtime von NeumannPoisson equation, Proceedings of ICIAM 95, Hamburg (1995), Oskar Mahrenholtz, Reinhard Mennicken (eds.); ZAMM 76, No. S2 (1996) 293296. [pdf]

A. Arnold: The relaxationtime Wigner equation, Mathematical Problems in Semiconductor Physics, Proceedings of workshop in Rome, Italy (1993); Pitman Research Notes in Mathematics Series, LongmanLondon 340 (1995) 105117, Marcati, Markowich, Natalini (eds.). [pdf]

A. Arnold: A mixed spectralcollocation and operator splitting method for the Wigner Poisson equation, Mathematics of Computation 19431993, Proceedings of symposium in Vancouver, Canada 1993, American Mathematical Society (1994) 249253, W. Gautschi (ed.). [pdf]

A. Arnold, C. Ringhofer: Operator splitting methods for the WignerPoisson equation, Proceedings of the International Workshop on Computational Electronics, UrbanaChampaign, USA (1992). [pdf] [www]

A. Arnold: Quantum transport in semiconductors: numerical methods, Proceedings of Numsim '91, Berlin, ZIB, Technical Report 91, No. 8 (1991) 5156, Gajewski, Deuflhard, Markowich (eds.). [pdf]

A. Arnold, P. A. Markowich: Quantum transport models for semiconductors, Applied and Industrial Mathematics (1991) 301307, R. Spigler (ed.), Kluwer Acad. Publ. [pdf] [www]
Conference Posters

R. Hammer, C. Ertler, W. Pötz, A. Arnold: Dynamics of Dirac Fermions in Topological Insulators, Internat. Symposium on Advanced Nanodevices and Nanotechnology 2011, Maui, USA (2011). [pdf]
Lecture Notes

A. Arnold: Entropy method and the largetime behavior of parabolic equations, Summer School in Ravello, Italy (2002) 137. [pdf]