14 citations · 33 across the 8 of their papers we have counts for
9 papers
Landscape-Sketch-Step: An AI/ML-Based Metaheuristic for Surrogate Optimization Problems
Rafael Monteiro, Kartik Sau
In this paper, we introduce a new heuristics for global optimization in scenarios where extensive evaluations of the cost function are expensive, inaccessible, or even prohibitive.…
Binary Classification as a Phase Separation Process
Rafael Monteiro
We propose a new binary classification model called Phase Separation Binary Classifier (PSBC). It consists of a discretization of a nonlinear reaction-diffusion equation coupled wi…
The Rising Sun Envelope Method: an automatic and accurate peak location technique for XANES measurements
Rafael Monteiro, Itsuki Miyazato, Keisuke Takahashi
The lack of theoretical understanding of X-Ray Absorption Near Edge Structure (XANES) spectroscopy makes the development of analysis tools for its study a necessity. Here, an algor…
Transverse bifurcation of viscous slow MHD shocks
Blake Barker, Rafael Monteiro, Kevin Zumbrun
We study by a combination of analytical and numerical Evans function techniques multi-D viscous and inviscid stability and associated transverse bifurcation of planar slow Lax MHD…
The Swift-Hohenberg Equation under directional-quenching: finding heteroclinic connections using spatial and spectral decompositions
Rafael Monteiro, Natsuhiko Yoshinaga
We study the existence of patterns (nontrivial, stationary solutions) for one-dimensional Swift-Hohenberg Equation in a directional quenching scenario, that is, on the en…
Horizontal patterns from finite speed directional quenching
Rafael Monteiro
In this paper we study the process of phase separation from directional quenching, considered as an externally triggered variation in parameters that changes the system from monost…
Contact angle selection for interfaces in growing domains
Rafael Monteiro, Arnd Scheel
We study interfaces in an Allen-Cahn equation, separating two metastable states. Our focus is on a directional quenching scenario, where a parameter renders the system bistable in…
Phase separation patterns from directional quenching
Rafael Monteiro, Arnd Scheel
We study the effect of directional quenching on patterns formed in simple bistable systems such as the Allen-Cahn and the Cahn-Hilliard equation on the plane. We model directional…
Transverse steady bifurcation of viscous shock solutions of a hyperbolic-parabolic model in a strip
Rafael de Araújo Monteiro
In this article we derive rigorously a nonlinear, steady, bifurcation through spectral bifurcation (i.e., eigenvalues of the linearized equation crossing the imaginary axis) for a…