176 citations · 768 across the 86 of their papers we have counts for
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On non-local exchange and scattering operators in domain decomposition methods
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We study non-local exchange and scattering operators arising in domain decomposition algorithms for solving elliptic problems on domains in . Motivated by recent form…
QGLAB: A MATLAB Package for Computations on Quantum Graphs
Roy H. Goodman, Grace Conte, Jeremy L. Marzuola
We describe QGLAB, a new MATLAB package for analyzing partial differential equations on quantum graphs. The software is built on the existing, object-oriented MATLAB directed-graph…
A Proximal-Gradient Algorithm for Crystal Surface Evolution
Katy Craig, Jian-Guo Liu, Jianfeng Lu +2
As a counterpoint to recent numerical methods for crystal surface evolution, which agree well with microscopic dynamics but suffer from significant stiffness that prevents simulati…
Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions
Lingyun Ding, Jingfang Huang, Jeremy L. Marzuola
The recently developed quadrature by expansion (QBX) technique accurately evaluates the layer potentials with singular, weakly or nearly singular, or even hyper singular kernels in…
Trigonometric integrators for quasilinear wave equations
Ludwig Gauckler, Jianfeng Lu, Jeremy L. Marzuola +2
Trigonometric time integrators are introduced as a class of explicit numerical methods for quasilinear wave equations. Second-order convergence for the semi-discretization in time…
Strang Splitting Methods for a quasilinear Schrödinger equation - Convergence, Instability and Dynamics
Jianfeng Lu, Jeremy L. Marzuola
We study the Strang splitting scheme for quasilinear Schrödinger equations. We establish the convergence of the scheme for solutions with small initial data. We analyze the linear…