3 papers
math.NA2025
Enhancing polynomial approximation of continuous functions by composition with homeomorphisms
Álvaro Fernández Corral, Yahya Saleh
We enhance the approximation capabilities of algebraic polynomials by composing them with homeomorphisms. This composition yields families of functions that remain dense in the spa…
physics.atm-clus2025
Taylor-mode automatic differentiation for constructing molecular rovibrational Hamiltonian operators
Andrey Yachmenev, Emil Vogt, Álvaro Fernández Corral +1
We present an automated framework for constructing Taylor series expansions of rovibrational kinetic and potential energy operators for arbitrary molecules, internal coordinate sys…
cs.LG2024
Learning phase-space flows using time-discrete implicit Runge-Kutta PINNs
Álvaro Fernández Corral, Nicolás Mendoza, Armin Iske +2
We present a computational framework for obtaining multidimensional phase-space solutions of systems of non-linear coupled differential equations, using high-order implicit Runge-K…