François Monard

609 total citations
24 papers, 276 citations indexed

About

François Monard is a scholar working on Mathematical Physics, Radiology, Nuclear Medicine and Imaging and Electrical and Electronic Engineering. According to data from OpenAlex, François Monard has authored 24 papers receiving a total of 276 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Mathematical Physics, 11 papers in Radiology, Nuclear Medicine and Imaging and 9 papers in Electrical and Electronic Engineering. Recurrent topics in François Monard's work include Numerical methods in inverse problems (19 papers), Electrical and Bioimpedance Tomography (9 papers) and Medical Imaging Techniques and Applications (8 papers). François Monard is often cited by papers focused on Numerical methods in inverse problems (19 papers), Electrical and Bioimpedance Tomography (9 papers) and Medical Imaging Techniques and Applications (8 papers). François Monard collaborates with scholars based in United States, United Kingdom and France. François Monard's co-authors include Guillaume Bal, Gabriel P. Paternain, Richard Nickl, Plamen Stefanov, Günther Uhlmann, Ian Langmore, Colin Guillarmou, Axel Osses, Matías Courdurier and Rohit Kumar Mishra and has published in prestigious journals such as Journal of Computational Physics, The Annals of Statistics and Communications in Mathematical Physics.

In The Last Decade

François Monard

22 papers receiving 230 citations

Peers

François Monard
Alexandru Tamasan United States
Silvia Gazzola United Kingdom
Lauri Oksanen United Kingdom
Nathan Albin United States
Alexandru Tamasan United States
François Monard
Citations per year, relative to François Monard François Monard (= 1×) peers Alexandru Tamasan

Countries citing papers authored by François Monard

Since Specialization
Citations

This map shows the geographic impact of François Monard's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by François Monard with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites François Monard more than expected).

Fields of papers citing papers by François Monard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by François Monard. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by François Monard. The network helps show where François Monard may publish in the future.

Co-authorship network of co-authors of François Monard

This figure shows the co-authorship network connecting the top 25 collaborators of François Monard. A scholar is included among the top collaborators of François Monard based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with François Monard. François Monard is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Mazzeo, Rafe & François Monard. (2024). Double b-fibrations and desingularization of the X-ray transform on manifolds with strictly convex boundary. French digital mathematics library (Numdam). 11. 809–847.
2.
Monard, François, et al.. (2024). Boundary triples for a family of degenerate elliptic operators of Keldysh type. 6(2). 541–580. 1 indexed citations
3.
Monard, François & Plamen Stefanov. (2023). Sampling the X-ray Transform on Simple Surfaces. SIAM Journal on Mathematical Analysis. 55(3). 1707–1736. 5 indexed citations
4.
Mishra, Rohit Kumar, et al.. (2022). The C -isomorphism property for a class of singularly-weighted x-ray transforms. Inverse Problems. 39(2). 24001–24001. 2 indexed citations
5.
Monard, François, Richard Nickl, & Gabriel P. Paternain. (2021). Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors. The Annals of Statistics. 49(6). 20 indexed citations
6.
Monard, François, Richard Nickl, & Gabriel P. Paternain. (2020). Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms. Communications on Pure and Applied Mathematics. 74(5). 1045–1099. 29 indexed citations
7.
Monard, François, et al.. (2018). The attenuated geodesic x-ray transform. Inverse Problems. 34(6). 64003–64003. 9 indexed citations
8.
Monard, François & Gabriel P. Paternain. (2017). The Geodesic X-ray Transform with a GL(n,C)-Connection. Apollo (University of Cambridge). 3 indexed citations
9.
Guillarmou, Colin & François Monard. (2017). Reconstruction formulas for X-ray transforms in negative curvature. Annales de l’institut Fourier. 67(4). 1353–1392. 8 indexed citations
10.
Monard, François, Plamen Stefanov, & Günther Uhlmann. (2015). The Geodesic Ray Transform on Riemannian Surfaces with Conjugate Points. Communications in Mathematical Physics. 337(3). 1491–1513. 18 indexed citations
11.
Bal, Guillaume, François Monard, & Günther Uhlmann. (2015). Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields. SIAM Journal on Applied Mathematics. 75(5). 2214–2231. 11 indexed citations
12.
Courdurier, Matías, et al.. (2015). Simultaneous source and attenuation reconstruction in SPECT using ballistic and single scattering data. Inverse Problems. 31(9). 95002–95002. 9 indexed citations
13.
Bal, Guillaume, et al.. (2014). Inverse anisotropic conductivity from internal current densities. Inverse Problems. 30(2). 25001–25001. 18 indexed citations
14.
Bal, Guillaume, et al.. (2014). Imaging of Anisotropic Conductivities from Current Densities in Two Dimensions. SIAM Journal on Imaging Sciences. 7(4). 2538–2557. 11 indexed citations
15.
Monard, François & Guillaume Bal. (2013). Inverse Anisotropic Conductivity from Power Densities in Dimensionn ≥ 3. Communications in Partial Differential Equations. 38(7). 1183–1207. 20 indexed citations
16.
Monard, François. (2012). Taming unstable inverse problems: Mathematical routes toward high-resolution medical imaging modalities. Columbia Academic Commons (Columbia University). 4 indexed citations
17.
Bal, Guillaume & François Monard. (2012). Inverse Transport with Isotropic Time-harmonic Sources. SIAM Journal on Mathematical Analysis. 44(1). 134–161. 14 indexed citations
18.
Monard, François & Guillaume Bal. (2012). Inverse anisotropic diffusion from power density measurements in two dimensions. Inverse Problems. 28(8). 84001–84001. 24 indexed citations
19.
Monard, François & Guillaume Bal. (2012). Inverse diffusion problems with redundant internal information. Inverse Problems and Imaging. 6(2). 289–313. 20 indexed citations
20.
Monard, François & Guillaume Bal. (2010). An accurate solver for forward and inverse transport. Journal of Computational Physics. 229(13). 4952–4979. 6 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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