The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems

A computational framework for the regularization of adjoint analysis in multiscale PDE systems

Journal of Computational Physics

Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation

Applied Numerical Mathematics

Reduced-order-based feedback control of the Kuramoto-Sivashinsky equation

Journal of Computational and Applied Mathematics

Adjoint-based optimization of PDE systems with alternative gradients

Journal of Computational Physics

Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods

Computers & Mathematics with Applications

Regularization of the backward-in-time Kuramoto-Sivashinsky equation

Journal of Computational and Applied Mathematics

An adaptive high-order minimum action method

Journal of Computational Physics

A random map implementation of implicit filters

Journal of Computational Physics