Exploring critical points of energy landscapes: from low-dimensional examples to phase field crystal PDEs
In the present work we explore the application of a few root-finding methods to a series of prototypical examples. The methods we consider include: (a) the so-called continuous-time Nesterov (CTN) flow method; (b) a variant thereof referred to as the squared-operator method (SOM); and (c) the joint...
Main Authors: | Subramanian, P, Kevrekidis, IG, Kevrekidis, PG |
---|---|
Format: | Journal article |
Language: | English |
Published: |
Elsevier
2020
|
Similar Items
-
Normal form for the onset of collapse: the prototypical example of the nonlinear Schrodinger equation
by: Chapman, SJ, et al.
Published: (2021) -
A spectral analysis of the nonlinear Schrodinger equation in the co-exploding frame
by: Chapman, SJ, et al.
Published: (2022) -
Self-similar blow-up solutions in the generalised Korteweg-de Vries equation: spectral analysis, normal form and asymptotics
by: Chapman, SJ, et al.
Published: (2024) -
Deflation-based identification of nonlinear excitations of the three-dimensional Gross-Pitaevskii equation
by: Boullé, N, et al.
Published: (2020) -
Discrete breathers in one-dimensional diatomic granular crystals.
by: Boechler, N, et al.
Published: (2010)