[BOOK][B] The Cahn–Hilliard equation: recent advances and applications
A Miranville - 2019 - SIAM
This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …
On the -Laplacian and -Laplacian on Graphs with Applications in Image and Data Processing
In this paper we introduce a new family of partial difference operators on graphs and study
equations involving these operators. This family covers local variational p-Laplacian, ∞ …
equations involving these operators. This family covers local variational p-Laplacian, ∞ …
Cahn–Hilliard inpainting and a generalization for grayvalue images
The Cahn–Hilliard equation is a nonlinear fourth order diffusion equation originating in
material science for modeling phase separation and phase coarsening in binary alloys. The …
material science for modeling phase separation and phase coarsening in binary alloys. The …
A Second-Order, Global-in-Time Energy Stable Implicit-Explicit Runge–Kutta Scheme for the Phase Field Crystal Equation
H Zhang, H Wang, X Teng - SIAM Journal on Numerical Analysis, 2024 - SIAM
We develop a two-stage, second-order, global-in-time energy stable implicit-explicit Runge–
Kutta (IMEX RK (2, 2)) scheme for the phase field crystal equation with an time step …
Kutta (IMEX RK (2, 2)) scheme for the phase field crystal equation with an time step …
IMEXnet a forward stable deep neural network
Deep convolutional neural networks have revolutionized many machine learning and
computer vision tasks, however, some remaining key challenges limit their wider use. These …
computer vision tasks, however, some remaining key challenges limit their wider use. These …
Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions
H Zhang, X Qian, J ** explicit, high-order accurate, and stable algorithms for nonlinear differential
equations remains an exceedingly difficult task. In this work, a systematic approach is …
equations remains an exceedingly difficult task. In this work, a systematic approach is …