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Characteristic mapping for Kinetic Equations from theory to simulations and Reduced Order methods
FunderFrench National Research Agency (ANR)
Funder Contribution €313,828.00
DurationFrom 01 Jan 2026
Project codeANR-25-CE46-2339
Identifiers
Description
In this project, the characteristic mapping method is proposed to break the complexity of high-dimensional kinetic equations, e.g. coupled with ion-electron interactions by combining mathematical modeling and high-performance computing. The exponential resolution in linear time of the semi-Lagrangian method provides information on the small-scale behavior of the solutions, offering insight into the filamentation structure of the plasma. Reduced-order models enables to reduce the numerical complexity of the kinetic part of the coupled system. The combination of reduced dimensionality of sub-maps and refinement induced by map compositions by implementation of the solution operator is original and opens up new avenues for cost-effective evaluation of high-dimensional distribution functions over very large time intervals and multi-scale spatial domains. This ansatz has the potential to greatly improve current semi-Lagrangian methods and will deepen our understanding of complex local thermodynamic out-of-equilibrium phenomena in plasmas with applications to magnetically confined fusion.
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In this project, the characteristic mapping method is proposed to break the complexity of high-dimensional kinetic equations, e.g. coupled with ion-electron interactions by combining mathematical modeling and high-performance computing. The exponential resolution in linear time of the semi-Lagrangian method provides information on the small-scale behavior of the solutions, offering insight into the filamentation structure of the plasma. Reduced-order models enables to reduce the numerical complexity of the kinetic part of the coupled system. The combination of reduced dimensionality of sub-maps and refinement induced by map compositions by implementation of the solution operator is original and opens up new avenues for cost-effective evaluation of high-dimensional distribution functions over very large time intervals and multi-scale spatial domains. This ansatz has the potential to greatly improve current semi-Lagrangian methods and will deepen our understanding of complex local thermodynamic out-of-equilibrium phenomena in plasmas with applications to magnetically confined fusion.
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Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name openAIRESession Description Stores the user session ID for OpenAIRE Services. Provider OpenAIRE Expiration Session Name AccessToken Description Stores a JSON Web Token (JWT) used to authenticate the user's access to protected services. Provider OpenAIRE Expiration 1 hour Name jsCheck Description Checks whether the client has javascript enabled. 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