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Lise-Marie Imbert-Gerard
Member of the Graduate Faculty | Associate Professor, Mathematics
Mathematics
Map Page
Research Area
plasma physics,
numerical methods,
wave propagation,
mathematical modeling,
partial differential equations,
numerical analysis,
electromagnetics,
resonance,
simulation,
inhomogeneous media,
nuclear fusion
Grants
(5)
Quasi-Trefftz Methods for Problems Governed by Vector-Valued Partial Differential Equation
Active
·
2023
·
$287.5K
·
External
Principal Investigator (PI)
numerical methods,
partial differential equations,
vector-valued equations,
quasi-trefftz methods,
mathematical analysis
Novel Methods for Numerical Simulation of Wave Propagation in Inhomogeneous Media
Active
·
2021
·
$334.8K
·
External
Principal Investigator (PI)
wave propagation,
numerical simulation,
inhomogeneous media,
novel methods,
numerical modeling
Hidden Symmetries and Fusion Energy
Active
·
2020
·
$117.2K
·
External
Principal Investigator (PI)
nuclear fusion,
symmetry physics,
energy production,
particle physics,
theoretical physics
Meshing Techniques for the Simulation of Wave Propagation in Plasmas
2021
·
$10K
·
External
Principal Investigator (PI)
plasma physics,
wave propagation,
meshing techniques,
simulation,
wave plasma interaction
Advances in Numerical Methods for Wave Propagation Problems in Inhomogeneous Media
2020
·
$122.3K
·
External
Principal Investigator (PI)
numerical methods,
wave propagation,
inhomogeneous media,
advances,
research
Publications
(26)
Recent
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and theoretical approximation properties
2022
quasi-trefftz functions,
3d convected helmholtz equation,
construction,
theoretical approximation properties,
mathematical modeling
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
2022
numerical methods,
wave equation,
piecewise-smooth coefficients,
quasi-trefftz method,
space-time methods
A space-time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
2020
numerical methods,
wave equations,
space-time methods,
quasi-trefftz methods,
piecewise-smooth coefficients
Amplitude-based Generalized Plane Waves: new Quasi-Trefftz functions for scalar equations in 2D
2020
generalized plane waves,
quasi-trefftz functions,
scalar equations,
amplitude-based
Taylor states in stellarators: A fast high-order boundary integral solver
2019
stellarators,
boundary integral solver,
high order,
taylor states,
stellarator
Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media
2019
integral equations,
electrostatics,
acoustics,
electromagnetics,
anisotropic media
An introduction to symmetries in stellarators
2019
plasma physics,
nuclear fusion,
stellarators,
symmetries,
plasma confinement
An Introduction to Stellarators: From magnetic fields to symmetries and optimization
2019
plasma physics,
magnetic confinement fusion,
symmetry studies,
optimization techniques,
nuclear fusion
A roadmafor Generalized Plane Waves and their interpolation properties
2019
wave propagation,
interpolation,
generalized waves,
plane waves,
roadmap
Solutions to the cold plasma model at resonances
2017
plasma physics,
resonance,
cold plasma,
models,
solutions
Courses
(8)
Calculus II
Introduction to Linear Algebra
Inroduction to Linear Algebra
Theory of Complex Variables
Mathematical Principles of Numerical Analysis
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$871.8K / $871.8K Funding
4+ Grants
20+ Publications
7+ Courses
