Publications:

• R. Alonso, L. Borcea, Electromagnetic wave propagation in random waveguides (in pdf) , submitted 2013.
• L. Borcea, Y. Gorb, Y. Wang, Asymptotic approximation of the Dirichlet to Neumann map of high contrast conductive media, (in pdf), submitted 2013.
• L. Borcea, J. Garnier, C. Tsogka, A quantitative study of source imaging in random waveguides, (in pdf), submitted 2013.
• L. Borcea, Imaging in random media, (in pdf) , solicited review to appear in Handbook of Mathematical Methods in Imaging, edited by Otmar Scherzer, to appear in 2nd ed 2015, Springer.
• L. Borcea, Imaging and wave propagation in random waveguides, (in pdf), Lecture notes to be published by the Societe Mathematique de France.
• L. Borcea, J. Garnier, Paraxial coupling of propagating modes in three-dimensional waveguides with random boundaries, (in pdf), submitted 2012.
• L. Borcea, F. Gonzales del Cueto, G. Papanicolaou, C. Tsogka, Filtering deterministic layering effects in imaging (in pdf), SIAM Review, 54 (2012), pp. 757-798.
• L. Borcea, T. Callaghan, G. Papanicolaou, Motion estimation and imaging of complex scenes with synthetic aperture radar, (in pdf), Inverse Problems, in press, 2013.
• L. Borcea, V. Druskin, A. Mamonov, M. Zaslavsky, A model reduction approach to numerical inversion for a parabolic partial differential equation, (in pdf), submitted, 2012.
• L. Borcea, T. Callaghan, G. Papanicolaou, Synthetic Aperture Radar Imaging and Motion Estimation via Robust Principal Component Analysis, (in pdf), SIAM Imaging Science, in press, 2013.
• R. Alonso, L. Borcea, J. Garnier, Wave propagation in waveguides with random boundaries, (in pdf) , Communications in Mathematical Sciences, 11(1), 2012, pp. 233-267.
• L. Borcea, T. Callaghan, G. Papanicolaou, Synthetic Aperture Radar Imaging with Motion Estimation and Autofocus, (in pdf), Inverse Problems, 28, 2012, p. 045006.
• L. Borcea, F. Guevara Vasquez, A. Mamonov, Study of noise effects in electrical impedance tomography with resistor networks, (in pdf), Inverse Problems and Imaging, 7(2), 2013, pp. 417-443.
• L. Borcea, V. Druskin, F. Guevara Vasquez, A. V. Mamonov, Resistor network approaches to electrical impedance tomography, (in pdf), Inside Out II, MSRI Publications, Volume 60, 2012, p. 55-118.
• L. Borcea, Interferometric imaging and time reversal in random media, (in pdf), Solicited contribution to Springer Encyclopedia of Applied and Computational Mathematics, 2011.
• L. Borcea, J. Garnier, G. Papanicolaou and C. Tsogka, Enhanced statistical stability in coherent interferometric imaging, (in pdf), Inverse Problems, 27(8), 2011, p. 085003.
• L. Borcea, G. Papanicolaou and C. Tsogka, Adaptive time-frequency detection and filtering for imaging in heavy clutter, (in pdf), SIAM Imaging Science, 4(3), 2011, pp. 827-849.
• L. Borcea, J. Garnier, G. Papanicolaou, C. Tsogka, Coherent Interferometric Imaging, Time Gating, and Beamforming, (in pdf), Inverse Problems, in press 2011.
• R. Alonso, L. Borcea, G. Papanicolaou, C. Tsogka, Detection and Imaging in strongly backscattering randomly layered media, (in pdf), Inverse Problems, 27, 2011, p. 025004.
• L. Borcea, L. Issa, C. Tsogka, Source localization in random acoustic waveguides, (in pdf), SIAM Multiscale Modeling Simulations, 8(5), pp. 1981-2022, 2010.
• L. Borcea, A. V. Mamonov, V. Druskin, F. Guevara-Vasquez, Pyramidal resistor networks for electrical impedance tomography with partial boundary measurements, (in pdf), Inverse Problems, 26(10), 2010, doi: 10.1088/0266-5611/26/10/105009.
• Borcea, L., A. V. Mamonov, V. Druskin, Circular resistor networks for electrical impedance tomography with partial boundary measurements (in pdf), Inverse Problems, 26(4), 2010, p. 045010 (30pp).
• Borcea, L., Gonzalez del Cueto, F., Papanicolaou, G., Tsogka, C., Filtering random layering effects in imaging (in pdf) SIAM Multiscale Model. Simul., 8(3), pp. 751-781, 2010.
• Borcea, L., T. Callaghan, J. Garnier, G. Papanicolaou, A universal filter for enhanced imaging with small arrays (in pdf) Inverse Problems, 26(1), 2010, 015006(29pp).
• Borcea, L., F., Papanicolaou, G., Tsogka, C., Subspace projection filters for imaging in random media (in pdf) , Comptes Rendus Mecanique, Published in electronic form 2010, doi:10.1016/j.crme.2010.07.013.
• Borcea, L., Gonzalez del Cueto, F., Papanicolaou, G., Tsogka, C., Filtering deterministic layering effects in imaging (in pdf) SIAM Multiscale Model. Simul., Vol7, No 3, 2009, pp. 1267-1301.
• Borcea, L., Druskin, V., Guevara Vasquez, F., Electrical impedance tomography with resistor networks, (in pdf), Inverse Problems, 24(4), pp. 035013-035044, 2008.
• Borcea, L., Papanicolaou, G., Guevara Vasquez, F., Edge illumination and imaging of extended reflectors, (in pdf) SIAM Imaging Sciences, Vol1, No. 1, pp. 75-114, 2008.
• Borcea, L., Papanicolaou, G. C., Tsogka, Optimal illumination and waveform design for imaging in random media, (in pdf) JASA, 122, 2007, pp. 3507-3518.
• Borcea, L., Papanicolaou, G. C., Tsogka, Optimal waveform design for array imaging, (in pdf) , Inverse Problems 23, 2007, pp. 1973-2021.
• Borcea, L., Papanicolaou, G. C., Tsogka, Asymptotics for the space-time Wigner transform with applications to imaging (in pdf), In Stochastic Differential Equations: Theory and Applications. Volume in Honor of Professor Boris L. Rozovskii, P.H. Baxendale and S.V. Lototsky, Editors, Interdisciplinary Mathematical Sciences, vol 2, World Scientific, 2007.
• Borcea, L., Papanicolaou, G. C., Tsogka, Adaptive interferometric imaging in clutter and optimal illumination (in pdf), Inverse Problems, Inverse Problems, 22, 2006, pp. 1405-1436.
• Borcea, L., Papanicolaou, G. C., Tsogka, Coherent interferometry in finely layered random media (in pdf), SIAM Multiscale Modeling and Simulation, 5(1), 2006, pp. 62-83.
• Borcea, L., Papanicolaou, G. C., Tsogka, Interferometric array imaging in clutter (in pdf), Inverse Problems 21, 2005, pp. 1419-1460.
• Borcea, L., Papanicolaou, G. C., Tsogka, Coherent interferometric imaging (in pdf), Geophysics, 71, 2006, pp. S1165-S1175.
• Borcea, L., Druskin, V., Knizhnerman, L., On the continuum limit of a discrete inverse spectral problem on optimal finite difference grids, (in pdf) , Communications in Pure and Applied Mathematics, 58 (9), 2005, pp. 1231-1279.
• Druskin, V., Borcea, L., Knizhnerman, L., On the sensitivity of Lanczos recursions to the spectrum, (in pdf) , Linear Algebra and its Applications, 396, 2005, pp. 103-125.
• Berlyand, L., Borcea, L., Panchenko, A., Network approximation for effective viscosity of concentrated suspensions, (in pdf) , SIAM Journal on Mathematical Analysis, 36(5), 2005, pp. 1580-1628.
• Borcea, L., Papanicolaou, G. C., Tsogka, Theory and applications of time reversal and interferometric imaging, (in pdf), Inverse Problems, 19, 2003, pp. 1-26.
• Borcea, L., Gray, G., Zhang, Y., Variationally Constrained Numerical Solution of Electrical Impedance Tomography, (in pdf), Inverse Problems, 19(5), 2003, pp. 1159--1184.
• Borcea L., Papanicolaou, G. C., Tsogka, A resolution study for imaging and time reversal in random media, (in pdf), Contemporary Math, 333, 2003, pp. 63--77.
• Borcea L., Electrical Impedance Tomography, Topical review (postscript), or (pdf), Inverse Problems, 18, No. 6, 2002, pp. R99-R136 and the addendum .
• Borcea L., Druskin V., Optimal finite difference grids for direct and inverse Sturm Liouville problems, (pdf), Inverse Problems, 18, No. 4, 2002, pp.979-1001.
• Borcea L., Papanicolaou, G. C., Tsogka, C., Berryman, J., 2002, Imaging and time reversal in random media, (pdf), Inverse Problems, 18, No. 5, 2002, pp. 1247-1279.
• Berryman,J.,Borcea, L., Papanicolaou, G. C., Tsogka, C., 2002, Statistically stable ultrasonic imaging in random media, (pdf), Journal of Acoustical Soc. of America, 112, 2002, pp. 1509--1522.
• Borcea L., Bruno, O., On the magneto-elastic properties of elastomer-ferromagnet composites, (postscript), or (pdf), Journal of the Mechanics and Physics of Solids, Vol. 49, No. 12, 2001, pp. 2877-2919.
• Borcea, L., Nonlinear multigrid for imaging electrical conductivity and permittivity at low frequency, (pdf) , Inverse Problems, 17, No. 2, 2001, pp. 329-359.
• Borcea L., Papanicolaou, G. C., Low frequency electromagnetic fields in high contrast media, (postscript) or (pdf) , Surveys on Solution Methods for Inverse Problems, D. Colton, H. W. Engl, A. Louis, J. R. McLaughlin, W. Rundell editors, Springer Vienna/New York, 2000.
• Borcea, L., Berryman, J.G., Papanicolaou, G.C., Matching pursuit for imaging high contrast conductivities, (postscript) or (pdf), Inverse Problems 15, No. 4, 1999, pp.811-849.
• Borcea L., Ortiz M., A multiscattering series for impedance tomography in layered media, (postscript) or (pdf) Inverse Problems, 15, No. 2, 1999, pp. 515-540.
• Borcea, L., Asymptotic Analysis of Quasistatic Transport in High Contrast Conductive Media, (postcsript) or (pdf), SIAM Journal on Applied Mathematics, vol. 59, no.2, 1999, pp.597-639.
• Borcea, L., Papanicolaou, G.C., Network approximation for transport properties of high contrast materials, (postcsript) or (pdf), SIAM Journal on Applied Mathematics, vol. 58, no. 2, 1998, pp. 501-539.
• Borcea L., Papanicolaou, G.C., A Hybrid Numerical Method for High Contrast Conductivity Problems, (postcsript) or (pdf) , 1997, Journal of Computational and Applied Mathematics 87, no. 1, pp. 61-77.
• Borcea, L., Berryman, J.G., Papanicolaou, G.C., High Contrast Impedance Tomography, (postscript) or (pdf) , Inverse Problems 12, 1996, pp. 835-858.
• Borcea, L. Network Approximation of Electromagnetic Transport in High Contrast Conductive Media, Mathematical and Numerical Aspects of Wave Propagation, John A. DeSanto, ed., SIAM, Philadelphia, 1998, pp. 526-528.
• Borcea, L., Berryman, J.G., Papanicolaou, G.C., Network asymptotics for high contrast impedance tomography. Inverse problems in geophysical applications (Yosemite, CA, 1995), 287--303, SIAM, Philadelphia, PA, 1997.
• Direct and Inverse Problems for Transport in High Contrast Media, Ph.D. thesis, Stanford University, June 1996.