Well-posedness and generalized plane waves simulations of a 2D mode conversion model. - Lise-Marie Imbert-Gérard (J. Comput. Phys., 2015)

Interpolation properties of generalized plane waves. - Lise-Marie Imbert-Gérard (Numerische Mathematik, 2015)

Fast, Adaptive, High-Order Accurate Discretization of the Lippmann-Schwinger Equation in Two Dimensions. - Sivaram Ambikasaran; Carlos Borges; Lise-Marie Imbert-Gérard; Leslie Greengard (SIAM J. Sci. Comput., 2016)

Taylor states in stellarators: A fast high-order boundary integral solver. - Dhairya Malhotra; Antoine J. Cerfon; Lise-Marie Imbert-Gérard; Michael O'Neil (J. Comput. Phys., 2019)

Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media. - Lise-Marie Imbert-Gérard; Felipe Vico; Leslie Greengard; Miguel Ferrando (SIAM J. Numer. Anal., 2019)

Amplitude-based Generalized Plane Waves: new Quasi-Trefftz functions for scalar equations in 2D. - Lise-Marie Imbert-Gérard (CoRR, 2020)

A roadmap for Generalized Plane Waves and their interpolation properties. - Lise-Marie Imbert-Gérard; Guillaume Sylvand (Numerische Mathematik, 2021)

Amplitude-based Generalized Plane Waves: New Quasi-Trefftz Functions for Scalar Equations in two dimensions. - Lise-Marie Imbert-Gérard (SIAM J. Numer. Anal., 2021)

Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and theoretical approximation properties. - Lise-Marie Imbert-Gérard; Guillaume Sylvand (CoRR, 2022)

A space-time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients. - Lise-Marie Imbert-Gérard; Andrea Moiola; Paul Stocker (Math. Comput., 2022)

Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems. - Lise-Marie Imbert-Gérard; Andrea Moiola; Chiara Perinati; Paul Stocker (CoRR, 2024)

Local Taylor-based polynomial quasi-Trefftz spaces for scalar linear equations. - Lise-Marie Imbert-Gérard (CoRR, 2025)

Generalized Plane Wave quasi-Trefftz spaces for wave propagation in inhomogeneous media. - Ilaria Fontana; Lise-Marie Imbert-Gérard (CoRR, 2025)