Publications

Thesis

Title: On the study and development of high-order time integration schemes for ODEs applied to acoustic and electromagnetic wave propagation problems

Papers in ranked journals

1. Hélène Barucq, Marc Duruflé and Mamadou N’diaye, “High-order locally A-stable implicit schemes for linear ODEs”, Springer: Journal of Scientific Computing, October 2020.

2. Hélène Barucq, Marc Duruflé and Mamadou N’diaye, “High-order Padé and Singly Diagonally Runge-Kutta schemes for linear ODEs, application to wave propagation problems”, Numerical Methods for Partial Differential Equations, November 2017.

Proceedings with review committee

3. Marc Duruflé and Mamadou N’diaye, “Optimized High Order Explicit Runge-Kutta-Nyström Schemes”. Proceeding of ICOSAHOM, Rio de Janeiro, Brazil, juin 2016, Marco Bittencourt, Ney Dumont and Jan S. Hesthaven ICOSAHOM 2016 - International Conference on Spectral and High-Order Methods

4. Mamadou N’diaye, Russell J. Hewett, Andreas Atle and Henri Calandra, “Optimized Finite Difference Coefficients for the Helmholtz Equation”, SEG Technical Program Expanded Abstracts New Orleans, USA, 2015.

Preprint (arxiv) 2022

Mamadou N'diaye, François P. Hamon and Hamdi A. Tchelepi, "Comparison of nonlinear field-split preconditioners for two-phase flow in heterogeneous porous media"

International conferences with a selection committee

1. “High-order locally implicit time schemes”, Waves2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation Vienna University of Technology (TU Wien), Vienna - Austria, August 2019.

2. “A-stable high-order implicit time schemes”, Waves2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, Minnesota - USA, May 2017.

3. “Efficient high order time schemes for Maxwell’s equations”, ICOSAHOM 2016 - International Conference On Spectral and High Order Methods, Rio de Janeiro, Brazil, Jun 2016.

Other communications

4. “Accelerating nonlinear convergence with field-split preconditioning for two-phase flow in porous media”, SUPRI-b annual meeting, visio-Stanford, January 2021.

5. “Les applications mathématiques dans les domaines des géosciences et de l’industrie de l’énergie: Seismic imaging and fluid flows in porous environment.”, Conférence à l’université Ahmed Baba, Bamako, Mali, February 2020.

6. “Accelerating nonlinear convergence with field-split preconditioning for two-phase flow in porous media”, TOTAL sponsored students annual meeting, Toronto, Canada, November 2019.

7. “Accelerating nonlinear convergence with field-split preconditioning for two-phase flow in porous media”, Mathias 2019 - TOTAL Symposium on Mathematics - poster presentation, Val d’Europe, France, October 2019.

8. “Nonlinear preconditioning ASPIN and MSPIN methods for coupled flow and transport”, Nonlinear Coupling Meeting, Stanford University, California - USA, March 2019.

9. “On the study and development of high-order time integration”, SUPRI-B group Meeting, Stanford University, California - USA, October 2018.

10. “On the development of locally implicit schemes for linear wave problems”, Mathias 2017 - TOTAL Symposium on Mathematics, Val d’Europe, France, October 2017.

11. “A family of A-stable ’Linear’-SDIRK and Padé time schemes for ODEs”, Colloquium LMAP for Ph.D. Student, Pau, France, February 2017.

12. “A Family of Linear Singly Diagonally Runge-Kutta Methods and High Order Padé’s Schemes for ODE”, Mathias 2016 - TOTAL Symposium on Mathematics, Val d’Europe, France, October 2016.

13. “Group project and presentation: High-Order splitting methods” Summer school on Wave phenomena: analysis and numerics, Karlsruhe, Germany, September 2016.

14. “High order time schemes for ODEs”, Séminaire des doctorants du LMA-UPPA, Pau, France, Jun 2016.

15. “High order time schemes for Maxwell’s equations” Colloque Inter’Actions en Mathématiques ENS-Lyon, France, May 2016.