All Outputs (2)

An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation (2015)
Journal Article

The Kuramoto–Sivashinsky equation in one spatial dimension (1D KSE) is one of the most well-known and well-studied partial differential equations. It exhibits spatio-temporal chaos that emerges through various bifurcations as the domain length increa... Read More about An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation.

Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows (2015)
Journal Article

This study introduces, analyses and implements space-time discretizations of two-dimensional active dissipative partial differential equations such as the Topper–Kawahara equation; this is the two-dimensional extension of the dispersively modified Ku... Read More about Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows.