Guillaume Bal

Professor

Applied Mathematics
206 S.W. Mudd
Mail Code: 4701
New York, NY 10027
Phone:
1-212-854-4731
Email: gb2030@columbia.edu
Homepage

 

Research Specialty

applied mathematics, partial differential equations with random coefficients, theory of inverse problems

Education

Diploma, Ecole Polytechnique, 1993

Ph.D. University Paris VI, 1997

Recent Publications

Full Publications List

Other recent publications

On Multi-spectral quantitative photoacoustic tomography (with K. Ren), Inverse Problems, 28, 025010, 2012

Non-uniqueness result for a hybrid inverse problem (with K. Ren), to appear in Contemporary Mathematics, 2012

Combined source and attenuation reconstructions in SPECT (with A. Jollivet), to appear in Contemporary Mathematics, 2012

Inverse Transport with isotropic time harmonic sources (with F. Monard), SIAM J. Math. Anal., 44, pp.134-161, 2012

Large 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, 2011

Multiple-source quantitative photoacoustic tomography (with K. Ren), Inverse Problems, 27(7), 075003, 2011

Quantitative 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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