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Lise-Marie Imbert-Gerard

Member of the Graduate Faculty | Associate Professor, Mathematics

Mathematics
Map Page
$871.8K / $871.8K Funding
4+ Grants
10+ Publications
7+ Courses

Research Area

wave propagation, numerical methods, partial differential equations, simulation, plane waves, plasma physics, inhomogeneous media, computational physics, optical simulations, mathematical modeling

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    Recent

    Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties

    2024

    Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems

    2024

    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 roadmafor Generalized Plane Waves and their interpolation properties

    2021
    wave propagation, interpolation, generalized waves, plane waves, roadmap

    Amplitude-based Generalized Plane Waves: New Quasi-Trefftz Functions for Scalar Equations in two dimensions

    2021

    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

    Pseudo-Spectral Methods for the Laplace-Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One

    2017

    Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves

    2017

    Solutions to the cold plasma model at resonances

    2017
    plasma physics, resonance, cold plasma, models, solutions

    • Calculus I

    • Calculus II

    • Applied Partial Differential Equations

    • Theory of Complex Variables

    • Mathematical Principles of Numerical Analysis

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