Search Results - "Antonopoulou, Dimitra C."

Space–time discontinuous Galerkin methods for the ε-dependent stochastic Allen–Cahn equation with mild noise by Antonopoulou, Dimitra C

“…We consider the $\varepsilon $-dependent stochastic Allen–Cahn equation with mild space–time noise posed on a bounded domain of $\mathbb{R}^2$. The positive…”
Get full text

A finite difference method for the wide-angle "parabolic" equation in a waveguide with downsloping bottom by Antonopoulou, Dimitra C., Dougalis, Vassilios A., Zouraris, Georgios E.

“…We consider the third‐order wide‐angle “parabolic” equation of underwater acoustics in a cylindrically symmetric fluid medium over a bottom of range‐dependent…”
Get full text

A posteriori error analysis of space-time discontinuous Galerkin methods for the ε-stochastic Allen–Cahn equation by Antonopoulou, Dimitra C, Egwu, Bernard, Yan, Yubin

“…In this work, we apply an a posteriori error analysis for the space-time, discontinuous in time, Galerkin scheme, which has been proposed in Antonopoulou…”
Get full text

Existence and regularity of solution for a stochastic Cahn–Hilliard/Allen–Cahn equation with unbounded noise diffusion by Antonopoulou, Dimitra C., Karali, Georgia, Millet, Annie

“…The Cahn–Hilliard/Allen–Cahn equation with noise is a simplified mean field model of stochastic microscopic dynamics associated with adsorption and…”
Get full text

Malliavin Calculus for the one-dimensional Stochastic Stefan Problem by Antonopoulou, Dimitra C, Dimitriou, Dimitrios, Karali, Georgia, Tzirakis, Konstantinos

“…We consider the one-dimensional outer stochastic Stefan problem with reflection which models the short-time prediction of the price or spread of one volatile…”
Get full text

The multi-dimensional Stochastic Stefan Financial Model for a portfolio of assets by Antonopoulou, Dimitra C, Bitsaki, Marina, Karali, Georgia

“…The financial model proposed involves the liquidation process of a portfolio of $n$ assets through sell or (and) buy orders with volatility. We present the…”
Get full text

On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Zero Initial Data by Antonopoulou, Dimitra C, Kamvissis, Spyridon

“…Nonlinearity 28 (2015) 3073-3099 Initial-boundary value problems for 1-dimensional `completely integrable' equations can be solved via an extension of the…”
Get full text

On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Non-zero Initial Data by Antonopoulou, Dimitra C, Kamvissis, Spyridon

“…Nonlinearity 29 (2016) 3206-3214 Initial-boundary value problems for 1-dimensional `completely integrable' equations can be solved via an extension of the…”
Get full text

Existence and regularity of solution for a Stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion by Antonopoulou, Dimitra C, Karali, Geogia, Millet, Annie

“…J. of Differential Equations 260 (2016), p. 2383-2417 The Cahn-Hilliard/Allen-Cahn equation with noise is a simplified mean field model of stochastic…”
Get full text

The Sharp interface limit for the stochastic Cahn-Hilliard equation by Antonopoulou, Dimitra C, Blömker, Dirk, Karali, Georgia D

“…We study the two and three dimensional stochastic Cahn-Hilliard equation in the sharp interface limit, where the positive parameter $\epsilon$ tends to zero,…”
Get full text

Motion of a droplet for the mass-conserving stochastic Allen-Cahn equation by Antonopoulou, Dimitra C, Bates, Peter W, Blömker, Dirk, Karali, Georgia D

“…We study the stochastic mass-conserving Allen-Cahn equation posed on a bounded two-dimensional domain with additive spatially smooth space-time noise. This…”
Get full text