2017 - Fellow of the American Mathematical Society For contributions to inverse problems and wave propagation in random media.
2003 - Fellow of Alfred P. Sloan Foundation
His scientific interests lie mostly in Mathematical analysis, Optics, Inverse problem, Boundary and Scattering. His biological study spans a wide range of topics, including Phase space and Self-averaging. His research in Optics intersects with topics in Computational physics and Work.
His study in Inverse problem is interdisciplinary in nature, drawing from both Geometrical optics, Tomography and Diffusion equation. His Boundary research is multidisciplinary, incorporating elements of Uniqueness and Medical imaging. Guillaume Bal interconnects Inversion, Inverse, Stability, Heavy traffic approximation and Beat in the investigation of issues within Scattering.
Mathematical analysis, Inverse problem, Scattering, Optics and Homogenization are his primary areas of study. His Mathematical analysis research includes elements of Boundary and Inverse. His Inverse research focuses on Stability and how it relates to Uniqueness.
His Scattering research is multidisciplinary, incorporating perspectives in Computational physics and Photon. His research investigates the connection between Optics and topics such as Diffusion equation that intersect with problems in Convection–diffusion equation. His study looks at the relationship between Statistical physics and topics such as Radiative transfer, which overlap with Monte Carlo method.
Guillaume Bal spends much of his time researching Mathematical analysis, Tomography, Homogenization, Inverse problem and Boundary value problem. The Mathematical analysis study combines topics in areas such as Nonlinear system, Weak convergence and Tensor. His research on Tomography also deals with topics like
The various areas that Guillaume Bal examines in his Inverse problem study include Linearization and Elastography. In his research, Current density imaging, Nabla symbol, Elliptic curve, Domain and Scalar is intimately related to Bounded function, which falls under the overarching field of Boundary value problem. His biological study deals with issues like Kernel, which deal with fields such as Boundary and Inverse.
His primary areas of study are Mathematical analysis, Inverse problem, Tomography, Homogenization and Partial differential equation. His research investigates the connection with Mathematical analysis and areas like Tensor which intersect with concerns in Anisotropy. His research integrates issues of Helmholtz equation, Linearization, Refractive index, Scalar and Attenuation coefficient in his study of Inverse problem.
Tomography is a subfield of Optics that he explores. His work on Diffusion as part of general Optics research is frequently linked to Hybrid data, thereby connecting diverse disciplines of science. His Bounded function research is multidisciplinary, relying on both Nabla symbol, Elliptic curve and Scalar.
This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.
Inverse transport theory and applications
Inverse Problems (2009)
A “Parareal” Time Discretization for Non-Linear PDE’s with Application to the Pricing of an American Put
Guillaume Bal;Yvon Maday.
Inverse diffusion theory of photoacoustics
Guillaume P. Bal;Gunther Uhlmann.
Inverse Problems (2010)
Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
Kui Ren;Guillaume Bal;Andreas H. Hielscher.
SIAM Journal on Scientific Computing (2006)
On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
Multi-source quantitative photoacoustic tomography in a diffusive regime
Guillaume Bal;Kui Ren.
Inverse Problems (2011)
Algorithm for solving the equation of radiative transfer in the frequency domain.
Kui Ren;Gassan S. Abdoulaev;Guillaume Bal;Andreas H. Hielscher.
Optics Letters (2004)
Hybrid inverse problems and internal functionals
arXiv: Analysis of PDEs (2011)
SELF-AVERAGING IN TIME REVERSAL FOR THE PARABOLIC WAVE EQUATION
Guillaume Bal;George Papanicolaou;Leonid Ryzhik.
Stochastics and Dynamics (2002)
Time Reversal and Refocusing in Random Media
Guillaume Bal;Leonid Ryzhik.
Siam Journal on Applied Mathematics (2003)
Profile was last updated on December 6th, 2021.
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