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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)
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Publications
(26)
Recent
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
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
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
A roadmafor Generalized Plane Waves and their interpolation properties
2019
wave propagation,
interpolation,
generalized waves,
plane waves,
roadmap
An Introduction to Stellarators: From magnetic fields to symmetries and optimization
2019
plasma physics,
magnetic confinement fusion,
symmetry studies,
optimization techniques,
nuclear fusion
An introduction to symmetries in stellarators
2019
plasma physics,
nuclear fusion,
stellarators,
symmetries,
plasma confinement
Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media
2019
integral equations,
electrostatics,
acoustics,
electromagnetics,
anisotropic media
Taylor states in stellarators: A fast high-order boundary integral solver
2019
stellarators,
boundary integral solver,
high order,
taylor states,
stellarator
Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One
2017
spectral methods,
partial differential equations,
surface geometry,
hodge decomposition,
genus one surfaces
Courses
(8)
Calculus II
Calculus I
Numerical Analysis PDE
Applied Partial Differential Equations
Introduction to Linear Algebra
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$871.8K / $871.8K Funding
4+ Grants
20+ Publications
7+ Courses
