H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 32 Citations 4,052 134 World Ranking 1766 National Ranking 758

Research.com Recognitions

Awards & Achievements

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

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Statistics

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.

His most cited work include:

  • Inverse transport theory and applications (141 citations)
  • Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer (130 citations)
  • Inverse diffusion theory of photoacoustics (105 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Mathematical analysis (49.63%)
  • Inverse problem (13.43%)
  • Scattering (12.69%)

What were the highlights of his more recent work (between 2013-2021)?

  • Mathematical analysis (49.63%)
  • Tomography (9.70%)
  • Homogenization (11.57%)

In recent papers he was focusing on the following fields of study:

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

  • Ultrasound which is related to area like Optics, Ultrasonic sensor, Optical measurements and Medical imaging,
  • Photo acoustic which is related to area like Light source.

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.

Between 2013 and 2021, his most popular works were:

  • Inverse anisotropic conductivity from internal current densities (31 citations)
  • Continuous bulk and interface description of topological insulators (27 citations)
  • Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields (23 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Statistics

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.

Top Publications

Inverse transport theory and applications

Guillaume Bal.
Inverse Problems (2009)

183 Citations

A “Parareal” Time Discretization for Non-Linear PDE’s with Application to the Pricing of an American Put

Guillaume Bal;Yvon Maday.
(2002)

179 Citations

Inverse diffusion theory of photoacoustics

Guillaume P. Bal;Gunther Uhlmann.
Inverse Problems (2010)

175 Citations

Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer

Kui Ren;Guillaume Bal;Andreas H. Hielscher.
SIAM Journal on Scientific Computing (2006)

168 Citations

On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations

Guillaume Bal.
(2005)

157 Citations

Multi-source quantitative photoacoustic tomography in a diffusive regime

Guillaume Bal;Kui Ren.
Inverse Problems (2011)

144 Citations

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)

136 Citations

Hybrid inverse problems and internal functionals

Guillaume Bal.
arXiv: Analysis of PDEs (2011)

134 Citations

SELF-AVERAGING IN TIME REVERSAL FOR THE PARABOLIC WAVE EQUATION

Guillaume Bal;George Papanicolaou;Leonid Ryzhik.
Stochastics and Dynamics (2002)

97 Citations

Time Reversal and Refocusing in Random Media

Guillaume Bal;Leonid Ryzhik.
Siam Journal on Applied Mathematics (2003)

94 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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