Mark Arnold and B.N. Datta, An Algorithm for the Multiinput Eigenvalue Assignment Problem, IEEE Transactions on Automatic Control, vol. 35, no. 10, October 1990, pp. 1149-1152
David K. Hoffman, Mark Arnold and Donald J. Kouri, Properties of the Optimum Distributed Approximating Function Class Propagator for Discretized and Continuous Wave Packet Propagations, Journal of Physical Chemistry, vol. 96, 1992, pp. 6539-6545
David K. Hoffman, Mark Arnold and Donald J. Kouri, Traveling Distributed Approximating Function Approach to Wave Packet Propagation: Explicit Inclusion of a Local Wave Velocity, Journal of Physical Chemistry, vol. 97, 1993, pp. 1110
Donald J. Kouri, Mark Arnold and David K. Hoffman, Time-to-Energy Transform of Wavepackets Using Absorbing Potentials: Time-Independent Wavepacket-Schrödinger and Wavepacket-Lippmann-Schwinger Equations, Chemical Physics Letters, \ph vol. 203, 1993, pp. 166
David K. Hoffman, Mark Arnold, Wei Zhu and Donald J. Kouri, Interacting Distributed Approximating Functions for Real-Time Quantum Dynamics, J. Chem. Phys., vol. 99, 1993, pp. 1194
Youhong Huang, Donald J. Kouri, Mark Arnold, Tom L. Marchioro and David K. Hoffman, Distributed Approximating Function Approach to Time-Dependant Wavepacket Propagation in 3-Dimensions: Atom-Surface Scattering, Invited Paper, Computer Physics Communications, vol. 80, 1994, pp. 1-16
Youhong Huang, Donald J. Kouri, Mark Arnold, Tom L. Marchioro and David K. Hoffman, Distributed Approximating Function Approach to Time-Dependant Wavepacket Propagation in More Than One Dimension: Inelastic Collinear Atom-Diatom Collisions, Journal of Chemical Physics, vol. 99, 1993, pp. 1028
Wei Zhu, Youhong Huang, Donald J. Kouri, Mark Arnold and David K. Hoffman, Time-Independent `Wavepacket' Forms of Schrödinger and Lippman-Schwinger Equations, Phys. Rev. Letters, vol. 72, 1994, pp. 1310-1313
Tom L. Marchioro, Mark Arnold, David K. Hoffman, Wei Zhu, Youhong Huang and Donald J. Kouri, Extensions to the Distributed Approximating Functional: The Harmonic Propagator, Phys. Rev. E., vol. 50, no. 3, 1994, pp. 2320-2330
Anatoli Frishman, David K. Hoffman, R.J. Rakauskas, Mark Arnold and Donald J. Kouri, Distributed Approximating Functional Approach to Fitting and Predicting Potential Surfaces 1. Atom-Atom Potentials, Chemical Physics Letters, vol. 252, 1996, pp. 62-70
David K. Hoffman, Tom Marchioro III, Mark Arnold, Youhong Huang, Wei Zhu and Donald J. Kouri, Variational derivation and extensions of distributed approximating functionals , J. Math. Chem., vol. 20, 1996, pp. 117-140
Mark Arnold and Biswa N. Datta, Single-Input Eigenvalue Assignment Algorithms: A Close Look, SIAM J. Matrix Anal., vol. 19, No. 2, pp. 444-467, April 1998
D Fologea, E Krueger, R Al Faori, R Lee, YI Mazur, R Henry, M Arnold and GJ Salamo, Multivalent ions control the transport through lysenin channels , Biophys Chem, vol. 152, pp 1-3, November 2010
Mahdi, G. J. M., Chakraborty, A., Arnold, M. E. and Rebelo, A. G., Efficient Bayesian modeling of large lattice data using spectral properties of Laplacian matrix , Spatial Statistics, vol. 29, pp 329-350, January 2019