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Courses
- CIICalculus II
- CICalculus I
- MPNAMathematical Principles of Numerical Analysis
- ILAIntroduction to Linear Algebra
- ILAInroduction to Linear Algebra
- APDEApplied Partial Differential Equations
Grants
- Novel Methods for Numerical Simulation of Wave Propagation in Inhomogeneous Media
Principal Investigator (PI)
2021
$334.8K
Active - Meshing Techniques for the Simulation of Wave Propagation in Plasmas
Principal Investigator (PI)
2021
$10.0K
Active - Advances in Numerical Methods for Wave Propagation Problems in Inhomogeneous Media
Principal Investigator (PI)
2020
$122.3K
Active - Hidden Symmetries and Fusion Energy
Principal Investigator (PI)
2020
$93.9K
Active
Publications (26)
Recent
- A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
2022
- Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and theoretical approximation properties
2022
- Amplitude-based Generalized Plane Waves: new Quasi-Trefftz functions for scalar equations in 2D
2020
- A space-time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
2020
- An Introduction to Stellarators: From magnetic fields to symmetries and optimization
2019
- An introduction to symmetries in stellarators
2019
- Taylor states in stellarators: A fast high-order boundary integral solver
2019
- Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media
2019
- A roadmap for Generalized Plane Waves and their interpolation properties
2019
- Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One
2017
- Singular solutions for the plasma at the resonance
2017
- Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves
2017
- Solutions to the cold plasma model at resonances
2017
- A numerical study of the solution of x-mode equations around the hybrid resonance
2016
- Integral equation tools for 2D scattering of RF waves by blobs
2016
- Fast, Adaptive, High-Order Accurate Discretization of the Lippmann--Schwinger Equation in Two Dimensions
2016
- Interpolation properties of generalized plane waves
2015
- Well-posedness and generalized plane waves simulations of a 2D mode conversion model
2015
- Hybrid resonance of Maxwell's equations in slab geometry
2014
- A generalized plane-wave numerical method for smooth nonconstant coefficients
2014
- Analyse mathématique et numérique de problèmes d’ondes apparaissant dans les plasmas magnétiques
2013
- Mathematical and numerical problems of some wave phenomena appearing in magnetic plasmas
2013
- Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term
2011
- Semaine d'Etude Mathématiques et Entreprises 2: Analyse de grands volumes de données en grande dimension
2011
- Semaine d'Etude Mathématiques et Entreprises 1: Deux problèmes sur les parcs solaires.
2011
- Magnetic equations with FreeFem++: The Grad-Shafranov equation & the current hole
2011