Guillaume Bal

Applied Physics and Applied Mathematics

Professor

gb2030@columbia.edu

Research Specialtyapplied mathematics, partial differential equations with random coefficients, theory of inverse problemsEducationDiploma, Ecole Polytechnique, 1993Ph.D. University Paris VI, 1997Recent PublicationsFull Publications ListOther recent publicationsOn Multi-spectral quantitative photoacoustic tomography (with K. Ren), Inverse Problems, 28, 025010, 2012Non-uniqueness result for a hybrid inverse problem (with K. Ren), to appear in Contemporary Mathematics, 2012Combined source and attenuation reconstructions in SPECT (with A. Jollivet), to appear in Contemporary Mathematics, 2012Inverse Transport with isotropic time harmonic sources (with F. Monard), SIAM J. Math. Anal., 44, pp.134-161, 2012Large Deviation Theory for a Homogenized and "Corrected" Elliptic ODE (with R. Ghanem and I. Langmore), J. Differential Equations, 251(7), pp. 1864-1902, 2011.Corrector theory for MsFEM and HMM in random media (with W. Jing), Multiscale Model. Simul., 9, pp. 1549-1587, 2011.Convergence to Homogenized or Stochastic Partial Differential Equations, Appl Math Res Express, 2011(2), pp. 215-241, 2011.Corrector theory for elliptic equations in random media with singular Green's function. Application to random boundaries (with W. Jing), Comm. Math. Sci., 9(2), pp. 383-411, 2011.Imaging using transport models for wave-wave correlations (with O. Pinaud), Math. Models Methods Appl. Sci, 21(3), pp. 1071-1093, 2011Multiple-source quantitative photoacoustic tomography (with K. Ren), Inverse Problems, 27(7), 075003, 2011Quantitative Thermo-acoustics and related problems (with K. Ren, G. Uhlmann and T. Zhou), Inverse Problems, 27(5), 055007, 2011.Angular average of time-harmonic transport solutions (with A. Jollivet, I. Langmore and F. Monard), Comm. Partial Differential Equations, 36(6), pp. 1044-1070, 2011

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