Hermen Jan Hupkes
Leiden University
76 Papers
381 Citations
Hermen Jan Hupkes is an academic researcher from Leiden University. The author has contributed to research in topics: Differential equation & Reaction–diffusion system. The author has an hindex of 15, co-authored 64 publications. Previous affiliations of Hermen Jan Hupkes include Brown University & University of Missouri.
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Papers
Micropterons, nanopterons and solitary wave solutions to the diatomic Fermi–Pasta–Ulam–Tsingou problem
Timothy E. Faver,Hermen Jan Hupkes +1 more
- 01 Dec 2021
TL;DR: In this article, a boundary-value problem solver for mixed-type functional differential equations is used to numerically examine the landscape of traveling wave solutions to the diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) problem.
Analysis of Newton's Method to Compute Travelling Waves in Discrete Media
TL;DR: In this article, a variant of Newton's method for computing travelling wave solutions to scalar bistable lattice differential equations is presented, which converges to a solution, obtain existence and uniqueness of solutions to such equations with a small second-order term and study the limiting behaviour of such solutions as this second order term tends to zero.
Atomic Super-Resolution Tomography
Poulami Somanya Ganguly,Felix Lucka,Felix Lucka,Hermen Jan Hupkes,Kees Joost Batenburg +4 more
- 16 Jul 2020
TL;DR: In this paper, a grid-free discrete tomography algorithm is proposed to recover the atomic positions more accurately for common lattice defects, which allows for continuous deviations of the atom locations similar to super-resolution approaches.
•Posted Content
Entire Solutions for Bistable Lattice Differential Equations with Obstacles
TL;DR: In this article, the authors consider scalar lattice differential equations posed on square lattices in two dimensions and show that wave-like solutions exist when obstacles (characterized by "holes") are present in the lattice.
Exponential Dichotomies for Nonlocal Differential Operators with Infinite Range Interactions
TL;DR: In this article, it was shown that functional differential equations with infinite range discrete and/or continuous interactions admit exponential dichotomies, building on the Fredholm theory developed by Faye and Scheel for such systems.