2 papers
nlin.SI2026
Small-time asymptotics and the emergence of complex singularities for the KdV equation
Scott W. McCue, Christopher J. Lustri, Daniel J. VandenHeuvel +3
While real-valued solutions of the Korteweg--de Vries (KdV) equation have been studied extensively over the past 50 years, much less attention has been devoted to solution behaviou…
math.NA2025
A sparse -finite element method for piecewise-smooth differential equations with periodic boundary conditions
Daniel VandenHeuvel, Sheehan Olver
We develop an efficient -finite element method for piecewise-smooth differential equations with periodic boundary conditions, using orthogonal polynomials defined on circular a…