@article{banks_raye_2004, title={Well-posedness for a nonsmooth acoustic system}, volume={17}, DOI={10.1016/S0893-9659(04)00013-8}, number={3}, journal={Applied Mathematics Letters}, author={Banks, H. T. and Raye, J. K.}, year={2004}, pages={317–322} }
 @article{albanese_banks_raye_2002, title={Nondestructive evaluation of materials using pulsed microwave interrogating signals and acoustic wave induced reflections}, volume={18}, ISSN={["0266-5611"]}, DOI={10.1088/0266-5611/18/6/330}, abstractNote={A class of inverse problems is formulated for the estimation of material dielectric parameters using reflections of pulsed microwave interrogating signals from moving acoustic interfaces in the dielectric. A model for acoustic pressure dependence of material constitutive parameters in Maxwell’s equations is presented and analysed. Theoretical and computational findings for approximation and estimation are given.}, number={6}, journal={INVERSE PROBLEMS}, author={Albanese, RA and Banks, HT and Raye, JK}, year={2002}, month={Dec}, pages={1935–1958} }
 @article{banks_raye_2002, title={Well-posedness for systems representing electromagnetic/acoustic wavefront interaction}, volume={8}, ISSN={["1262-3377"]}, DOI={10.1051/cocv:2002019}, abstractNote={In this paper we consider dispersive electromagnetic systems in dielectric materials in the presence of acoustic wavefronts. A theory for existence, uniqueness, and continuous dependence on data is presented for a general class of systems which include acoustic pressure-dependent Debye polarization models for dielectric materials.}, journal={ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS}, author={Banks, HT and Raye, JK}, year={2002}, month={Jun}, pages={105–125} }
 @article{banks_musante_raye_2001, title={Predictions for a distributed parameter model describing the hepatic processing of 2,3,7,8-TCDD}, volume={33}, ISSN={["1872-9479"]}, DOI={10.1016/S0895-7177(00)00228-4}, abstractNote={A distributed parameter model describing spatially-dependent hepatic processing of the chemical compound 2,3,7,8-tetrachlorodibenzo- p -dioxin (TCDD or dioxin) has previously been reported [1]. The mathematical system consists of coupled nonlinear partial and ordinary differential equations with delays. In this paper, we investigate the qualitative behavior of the system over a six-hour time period following a subcutaneous injection. A brief summary of the model is also given.}, number={1-3}, journal={MATHEMATICAL AND COMPUTER MODELLING}, author={Banks, HT and Musante, CJ and Raye, JK}, year={2001}, pages={49–64} }
 @article{banks_musante_raye_2000, title={Approximation methods for inverse problems governed by nonlinear parabolic systems}, volume={21}, ISSN={["0163-0563"]}, DOI={10.1080/01630560008816986}, abstractNote={We present a rigorous theoretical framework for approximation of nonlinear parabolic systems with delays in the context of inverse least squares problems. Convergence of approximate optimal parameters and that of forward solutions in the context of semidiscrete Galerkin schemes are given. Sample numerical results demonstrating the convergence are given for a model of dioxin uptake and elimination in a distributed liver model that is a special case of the general theoretical framework.}, number={7-8}, journal={NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION}, author={Banks, HT and Musante, CJ and Raye, JK}, year={2000}, pages={791–816} }