2 papers
math.NA2025
Explicit adaptive time stepping for the Cahn-Hilliard equation by exponential Krylov subspace and Chebyshev polynomial methods
Mike A. Botchev
The Cahn-Hilliard equation has been widely employed within various mathematical models in physics, chemistry and engineering. Explicit stabilized time stepping methods can be attra…
physics.comp-ph2024
Polygon-based unified Fourier-modal approach for diffractive optics simulations
K. V. Nikolaev, V. Soltwisch, M. A. Botchev +4
In this article, we derive a theoretical formalism that unifies the rigorous coupled wave analysis and the dynamical diffraction theory. Based on this formalism, we design a comput…