Publications

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Journal articlesArticles from proceedingsBook chapterBlogs & outreach (SWOT)Conference papers

A few free thoughts on authorship order and “application journals”

Here are a few free thoughts from an applied mathematician who enjoys tackling real-world problems with mathematical tools.

On authorship order. Applied mathematicians who develop new models and computational methods for real-world problems (problems usually addressed by other scientific communities) love open questions. The last one, unfortunately not the least, seems to be: what is the “lead author” policy?

In applied mathematics, the convention is alphabetical order; the corresponding author then plays the role of the “principal” or “first” author, in the jargon of most other communities. The alphabetical rule is a good one, provided one knows how to read it. It is the rule followed in the list below until about 2016 (except for secondary contributions, or contributions without strong research involvement, e.g. computations done during a short internship).

Since then, for a few papers published with or within other communities, I have reluctantly departed from it: I realized that alphabetical order was misinterpreted in many ways, especially in multidisciplinary and/or application-oriented contexts. Keeping this sound rule of applied mathematicians is increasingly difficult… I still try.

On “application journals”. Some of the multidisciplinary studies below were published in application journals (water resources, glaciology, visualization…). For the same real-world problem, these journals expect a different angle from the applied mathematician's. Presenting the core of the models and computational methods there, and explaining why a method may or may not be reliable, is very difficult, almost impossible, although it is crucial.

Real-world problems are the same for everyone, and developing new mathematical models and methods is often a mandatory step to solve them. A thorough evaluation of these models and methods can make the difference between colorful pictures and reliable computational results… And let us not forget: all this takes time.

Articles in international journals

Submitted

  1. T. Malou, J. Monnier, B.-K. San, "A two-scale river flow model dedicated to spatial hydrology modeling".
  2. J. Levillain, J. Monnier "River bathymetry estimations from surface water measurements".
  3. N-B Nguyen et al., "Bayesian Stage–Fall–Discharge Laws and Effective River Depth from SWOT Altimetry and Slope”.
  4. J. Monnier, O. Roustant, K. Larnier. "On the identifiability of river properties from SWOT measurements".
  5. Pujol, L., Garambois, P. A., Larnier, K., & Monnier, J. "Basin-Scale Variational Hydrological-Hydraulic Model Calibration for River Discharge Estimation Using SWOT Altimetry".

In preparation

  1. I. Henderson, J. Monnier, B.-K. San, "Bathymetry estimations and covariance operators in SWOT measurements context".
  2. K. Larnier, J. Monnier, O. Roustant. "Hybrid Bayesian-Neural Network-Variational estimations of river characteristics from SWOT-like data".
  3. A. Allabou, L. Pujol, R. Bouclier, P.-A. Garambois, J. Monnier. "Reduction of large dimensional inverse problem based on the 2D SWE. Application to Floodplain Dynamics".
  4. L. Pujol, D. Gomez, J. Monnier, Ph. Leleux, Y. Sao, L. Dumas. "Computational software DassFlow new look for hydraulics and complex fluid flows".
  5. J. Monnier. "Multi-regime shallow creeping flows: depth-integrated models".
  6. J. Monnier et al. "A method to infer the ice thickness beneath slow moving glaciers. Application to interior sectors of East Antarctica".

Published (or accepted)

  1. Durand, M., Gómez, D. D., Pavelsky, T. M., Coss, S. P., Bates, P. D., Bjerklie, D. et al. "Integrating Information from Hydrologic Models and SWOT Remote Sensing Measurements to Estimate Discharge across River Networks", Water Resources Research (WRR), 62(11), 2026.
  2. D. Muchiri, M. Sellier, J. Hewett, M. Moyers-Gonzalez, J. Monnier, "Comparing lubrication approximation with shallow water equations for viscoplastic flows". Wave motion, 103648, 2025. DOI
  3. Larnier K., Garambois P.-A, Emery C., Pujol L., Monnier J., Gal L., Paris A., Yesou H., Ledauphin T., Calmant S. "Estimating channel parameters and discharge at river network scale using hydrological-hydraulic models, SWOT and multi-satellite data". Water Resources Research (WRR), vol. 61 (7), 2025. DOI
  4. H. Boulenc, R. Bouclier, P.-A. Garambois, J. Monnier. "Spatially-distributed parameter identification by PINNs illustrated on the 2D shallow-water equations". Inv. Problems, Vol. 41 (3), pp. 035006, 2025. DOI pdf
  5. Huynh N. N. T., Garambois P.-A., Renard B., Colleoni F., Monnier J., Roux H.. "A distributed hybrid physics–AI framework for learning corrections of internal hydrological fluxes and enhancing high-resolution regionalized flood modeling". Hydrology and Earth System Sciences (HESS), 2025. DOI.
  6. N. Huynh, P.-A. Garambois, F. Colleoni, B. Renard, J Monnier, H. Roux. "A distributed Hybrid Physics-AI Framework for Learning Corrections of Internal Hydrological Fluxes and Enhancing High-Resolution Regionalized Flood Modeling". Hydrology and Earth System Sciences (HESS), Vol. 29, pp. 3589-3613, 2025. DOI
  7. Andreadis, K. et al.. "A first look at river discharge estimation from SWOT satellite observations". Geophysical Research Letters (GRL), 52 (9), 2025. DOI
  8. D. Muchiri, J. Monnier, M. Sellier. "Derivation and numerical resolution of 2D Shallow Water equations for multi-regime flows of Herschel-Bulkley fluids". European Journal of Mechanics / B Fluids, vol. 109, pp. 22-36, 2024. DOI pdf
  9. A. Allabou, R. Bouclier, P.-A. Garambois, J. Monnier. "Reduction of the Shallow Water System by an Error Aware POD-Neural Network Method: Application to Floodplain Dynamics". Comput. Meth. Applied Mech. Eng. (CMAME), vol. 428, pp. 117094, 2024. DOI pdf
  10. D. Muchiri, J. Hewett, M. Sellier, M. Moyers-Gonzalez, J. Monnier. "Numerical simulations of dam-break flows of viscoplastic fluids via Shallow Water equations". Theoretical and Computational Fluid Dynamics, vol. 38, pp. 557-581, 2024. DOI pdf
  11. D. Muchiri, J. Hewett, M. Sellier, M. Moyers-Gonzalez, J. Monnier. "Identification of rheological parameters for shallow water flows of viscoplastic fluids using elevation hydrographs". Physics of Fluids, vol. 36 (1), 2024. DOI
  12. K. Larnier, J. Monnier. "Hybrid neural network - variational data assimilation to infer river discharges from SWOT-like data". Computational Geosciences, vol. 27, pp 853-877, 2023. DOI pdf
  13. Durand, M., Gleason, C.J., Pavelsky, T.M., de Moraes Frasson, R.P., Turmon, M.J., David, C.H., Altenau, E.H., Tebaldi, N., Larnier, K., Monnier, J. and Malaterre, P.O. et al. "A framework for estimating global river discharge from the Surface Water and Ocean Topography satellite mission". Water Resources Research (WRR), vol. 59 (4), 2023. DOI
  14. T. Malou, J. Monnier. "Covariance kernels investigation from diffusive wave equations for data assimilation in hydrology." Inverse Problems, vol 38 (4) pp 045003, 2022. DOI pdf
  15. L. Pujol, P.-A. Garambois, J. Monnier. "Multi-dimensional hydrological-hydraulic model with variational data assimilation for river networks and floodplains". Geoscientific Model Development (GMD), vol 15 (15), pp. 6085-6113, 2022. DOI pdf
  16. T. Malou, P.-A. Garambois, A. Paris, J. Monnier, K. Larnier. "Generation and analysis of stage-fall-discharge laws from coupled hydrological-hydraulic river network model integrating sparse multi-satellite data". J. Hydrology, vol. 603, pp. 126993, 2021.DOI pdf
  17. J. Monnier, J. Zhu. "Physically-constrained data-driven inversions to infer the bed topography beneath glaciers flows. Application to East Antarctica". Computational Geosciences, vol. 25, pp 1793-1819, 2021. DOI pdf
  18. Frasson, R. and Durand, M. and Larnier, K. and Gleason, C. and Andreadis, K. and Hagemann, M. and Dudley, R. and Bjerklie, D. and Oubanas, H. and Garambois, P.-A. and Malaterre, P.-O. and Lin, P. and Pavelsky, T. and Monnier, J. and Brinkerhoff, C. and David, C."Exploring the factors controlling the error characteristics of the Surface Water and Ocean Topography mission discharge estimates". Water Resources Research, 2021. DOI
  19. K. Larnier, J. Monnier, P.-A. Garambois, J. Verley. "River discharge and bathymetry estimations from SWOT altimetry measurements". Inverse Problems Sc. Eng. (IPSE), 29(6), pp 759-789, 2020. DOI pdf
  20. L. Pujol, P.-A. Garambois, P. Finaud-Guyot, J. Monnier, K. Larnier, R. Mose, S. Biancamaria, H. Yesou, D. Moreira, A. Paris, S. Calmant. "Estimation of multiple inflows and effective channel by assimilation of multi-satellite hydraulic signatures: The ungauged anabranching Negro river". J. Hydrology (JoH), vol. 591, pp 125331, 2020.DOI pdf
  21. J. Monnier, J. Zhu. "Inference of the bottom topography in anisothermal mildly-sheared shallow ice flows". Comput. Meth. Applied Mech. Eng., vol. 348, pp. 954-977, 2019. DOI pdf
  22. P.-A. Garambois, K. Larnier, J. Monnier, P. Finaud-Guyot, J. Verley, A. Montazem, S. Calmant. "Variational estimation of effective channel and ungauged anabranching river discharge from multi-satellite water heights of different spatial sparsity". J. of Hydrology (JoH), vol. 581, pp. 124409, 2020. pdf
  23. Tuozzolo, S., Lind, G., Overstreet, B., Mangano, J., Fonstad, M., Hagemann, M., Frasson, R., Larnier, K., Garambois, P.-A., Monnier, J., Durand, M. "Estimating river discharge with swath altimetry: A proof of concept using AirSWOT observations". Geophys. Res. Lett., vol. 46 (3), pp. 1459-1466, 2019 DOI
  24. Montazem, Garambois, Calmant, Finaud-Guyot, Monnier, Moreira, Minear, Biancamaria. "Wavelet-based river segmentation using hydraulic control-preserving water surface elevation profile properties". Geophys. Res. Lett. (GRL) Vol. 46 (12), pp 6534-6543, 2019. DOI
  25. P. Brisset, J. Monnier, P.-A. Garambois, H. Roux. "On the assimilation of altimetry data in 1D Saint-Venant river models". Adv. Water Ress., vol. 119, pp 41-59, 2018. pdf DOI A 18 months review process without any scientific issue detected: 1 reviewer (on 4) obviously competing with us in the (french) space agencies fund system, has deliberately blocked the process. Our academic research world has become wonderful. The reviewer's successive reports are available upon request.
  26. J. Monnier, P.-E. des Boscs. "Inference of the Bottom Properties in Shallow Ice Approximation Models". Inverse Problems, vol. 33 (11) pp115001 (2017). pdf DOI
  27. J. Monnier, F. Couderc, D. Dartus, K. Larnier, R. Madec, J.P. Vila. "Inverse algorithms for 2D shallow water equations in presence of wet dry fronts. Application to flood plain dynamics". Advances in Water Resources (97), 11-24, 2016. pdf DOI
  28. P.-A. Garambois, S. Calmant, H. Roux, A. Paris, J. Monnier, P. Finaud-Guyot, A. Montazem, J. Santos da Silva, "Hydraulic visibility: using satellite altimetry to parameterize a hydraulic model of an ungauged reach of a braided river". Hydrological Processes, Vol. 31, 4, 756-767, 2017. pdf DOI
  29. M. Durand, C. J. Gleason, P. A. Garambois, D. Bjerklie, L. C. Smith, H. Roux, E. Rodriguez, P. D. Bates, T. M. Pavelsky, J. Monnier et al. "An intercomparison of remote sensing river discharge 1 estimation algorithms from measurements of river height, width, and slope". Water Resources Research, 52 (6), 4527-4549, 2016. pdf DOI
  30. M. Boutounet, J. Monnier, J.-P. Vila. "Multi-regime shallow free-surface flows for generalized Newtonian fluids". European Journal of Mechanics - B/Fluids. 55 (1), 182-206, 2016. pdf DOI
  31. P.-A. Garambois, J. Monnier. "Inference of effective river properties from remotely sensed observations of water surface". Advances in Water Resources, 79, 103-120, 2015. pdf DOI
  32. N. Martin, J. Monnier. "Inverse rheometry and basal properties inference for pseudoplastic geophysical flows". European Journal of Mechanics - B/Fluids, 50, 110-126 (2015). DOI pdf
  33. N. Martin, J. Monnier. "Four-field finite element solver and sensitivities for viscoplastic flows". SIAM J. Sc. Comp. 36(5), 132-165, 2014 DOI pdf
  34. N. Martin, J. Monnier. "Adjoint accuracy for the full-Stokes ice flow model: limits to the transmission of basal friction variability to the surface". The Cryosphere, 8, 721-741, 2014. pdf DOI
  35. R. Hostache, X. Lai, J. Monnier, C. Puech. "Assimilation of spatial distributed water levels into a shallow-water flood model. Part II: using a remote sensing image of Mosel river". J. Hydrology Vol. 390, Issues 3-4, pp 257-268 (2010). DOI pdf
  36. E. Fernandez-Nieto, J. Marin, J. Monnier. "Coupling superposed 1D and 2D shallow-water models: source terms and finite volume schemes". Comput. Fluid. Vol.39, Issue 6, pp 1070-1082. (2010). DOI pdf
  37. X. Lai, J. Monnier. "Assimilation of spatial distributed water levels into a shallow-water flood model. Part I: mathematical method and test case". J. Hydrology. Vol. 377, Issue 1-2, pp. 1-11 (2009). DOI pdf
  38. J. Marin, J. Monnier. "Superposition of local zoom model and simultaneous calibration for 1D-2D shallow-water flows". Math. Comput. Simul. 80 (2009), pp. 547-560. DOI pdf
  39. M. Honnorat, J. Monnier, N. Riviere, E. Huot, F.-X. Le Dimet. " Identification of equivalent topography in an open channel flow using Lagrangian data assimilation." Computing and Visualization in Science (CVS). Vol. 13, Issue 3 (2010), pp 111-119. DOI pdf
  40. M. Honnorat, J. Monnier, F.-X. Le Dimet. "Lagrangian data assimilation for river hydraulics simulations". Computing and Visualization in Science (CVS). Vol. 12, Issue 5, pp. 235 (2009). DOI pdf
  41. J. Monnier, P. Witomski, P. Chow-Wing-Bom, C. Scheid. " Numerical modelling of electrowetting by a shape inverse approach". SIAM J. Appl. Math. Vol. 69, No5, pp. 1477-1500, 2009. DOI pdf
  42. E.D. Fernandez-Nieto, D. Bresch, J. Monnier. "A consistent intermediate wave speed for a well-balanced HLLC solver". C. R. Acad. Sci. (CRAS) Paris, Ser. I 346, Issues 13-14, pp. 795-800, 2008. DOI pdf
  43. J. Monnier, A. Benselama, I. Cotoi. " Flow patterns in the vicinity of triple line dynamics arising from a local surface tension model". Int. J. Comput. Multiscale Comput. Eng. (IJCMCE). Vol. 5, Issue 5, pp. 417-434, 2007. DOI pdf
  44. I. Gejadze, J. Monnier. "On a 2D zoom for 1D shallow-water model: coupling and data assimilation". Comp. Meth. Appl. Mech. Engnr. (CMAME). Vol. 196, issues 45-48, pp. 4628-4643, 2007. DOI pdf
  45. J. Monnier, P. Witomski. "Analysis of a Local Hydrodynamics Model with Marangoni effect". J. Sc. Comp. (JSC), 21 (3), pp. 369-403, 2004. DOI pdf
  46. J. Monnier. "Shape sensitivities in a Navier-Stokes flow with gray bodies thermal transfer". Optim. Control Appl. Meth. (OCAM). 24 (5), pp. 237-256, 2003. DOI pdf
  47. D. Chenais, J. Monnier, J.P. Vila. " A shape optimal design problem with convective and radiative thermal transfer. Analysis and implementation". J. Optim. Theory Appl. (JOTA). 110 (1), pp. 75-117, 2001. DOI pdf
  48. J. Monnier. " Free convection with radiative thermal transfer of grey bodies. Analysis and approximation by finite element methods". Math. Models and Meth. in Appl. Sc. (M3AS). 9 (10), pp. 1383-1424, 2000. DOI pdf
  49. J. Monnier, J.P. Vila. "Convective and radiative thermal transfer with multiple reflections. Analysis and approximation by a finite element method". Math. Models and Meth. in Appl. Sc. (M3AS). 11 (2), pp. 229-262, 2001. DOI pdf
  50. J. Monnier, L. Trabucho. "Existence and uniqueness of solution to an adaptive elasticity model". Mathematics and Mechanics of Solids (M2S). 3 (2), pp. 217-228, 1998. DOI pdf

Articles in international journals from proceedings

  1. P.-A. Garambois, J. Monnier, L. Villenave, "Coupled 2D hydrologic-hydraulic catchment scale flood modeling with data assimilation capabilities: the DassHydro platform". In Colloque SHF " Prévision des crues et inondations, avancées, valorisations et perspectives", 2023. pdf
  2. L. Pujol, P.-A. Garambois, J. Monnier, P. Finaud-Guyot, K. Larnier, R. Mosé. "Integrated hydraulic-hydrological assimilation chain: towards multisource data fusion from river network to headwaters". In Advances in Hydroinformatics: Models for Complex and Global Water Issues—Practices and Expectations. Springer, pp 195-211, 2022. DOI
  3. R. Hostache, X. Lai, J. Monnier, C. Puech. "Assimilation of one SAR satellite image for flood simulations. Method and test case (Mosel river)". Advances in Geosciences, vol. 22, pp. 49-65, 2010. DOI pdf
  4. W. Castaings, D. Dartus, M. Honnorat, FX Le Dimet, Y. Loukili, J. Monnier. "Automatic Differentiation: a tool for variational data assimilation and adjoint sensitivity analysis for flood modeling." Lecture Notes in Computational Science and Engineering. Vol. 50, pp. 249-262, 2006. DOI pdf
  5. J. Monnier, P. Witomski. "A local surface model applied to contact line dynamics." Nonlinear Analysis. 63, pp. 1551-1559, 2005. DOI pdf
  6. J. Monnier, L. Trabucho. "An existence and uniqueness result in bone remodeling theory". Comp. Meth. Appl. Mech. Engnr. (CMAME) 151, pp. 539-544, 1998. DOI
  7. D. Chenais, J. Monnier, J.P. Vila. "Shape optimal design for a fluid-heat coupled system". Appl. Math. and Comp. Sc., vol. 6, No2, pp. 245-261, 1996. DOI

Book chapter

  1. Pailleux J., Dartus D., Lai X., Monnier J., Honnorat M. Chapitre 5 "Assimilation de donnees" dans: "Traite d'hydraulique environnementale. De la goutte de pluie jusqu'a la mer" Volume 6. Lavoisier-Hermes, pp. 141-158 (2009). ISBN: 978-2-7462-2008-9. English version: Chapter 12 "Data assimilation" in: "Environmental Hydraulics Series - Numerical Methods (Vol. 3)". Edt: JM Tanguy. pp. 275-294. Wiley (2010). Link

Blogs & outreach, international SWOT community

Numerous posts are regularly published on the few scientific blogs of the international SWOT community: see e.g. the blog DAWG with the following initial posts (+ many others since):

  1. J. Monnier, with P. Brisset, P.A. Garambois, J. Monnier, H. Roux, S. Biancamaria, "On Variational Data Assimilation of SWOT-like data in 1D and 2D river flow models", Blog wordpress DAWG, April 2016.
  2. J. Monnier, "On variational sensitivities, data assimilation and inversion for small scale river flows", Blog wordpress DAWG, November 2013.
  3. Presentations slides in NASA community
  4. J. Monnier with P. Brisset, P.A. Garambois, H. Roux, S. Biancamaria. Testing algorithms - CNES Aviso website

Conference papers

Please consult (the end of) my Google Scholar page.