Matteo Ferrari
University Assistant Post-Doc in Mathematics at the University of Vienna, Austria
Numerical Analysis
On the coupling of the Curved Virtual Element Method with the one-equation Boundary Element Method for 2D exterior Helmholtz problems, (joint with L. Desiderio, S. Falletta and L. Scuderi), SIAM Journal of Numerical Analysis, 60 (4), 2099-2124 (2022).
CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems, (joint with L. Desiderio, S. Falletta and L. Scuderi), Journal of Scientific Computing, 92 (2022) Paper No. 96.
CVEM-BEM coupling for the simulation of time-domain wave fields scattered by obstacles with complex geometries, (joint with L. Desiderio, S. Falletta and L. Scuderi), Computational Method in Applied Mathematics. 23, 353-372 (2023).
Developments on the stability of the non-symmetric coupling of finite and boundary elements,Computational Method in Applied Mathematics. 23, 372-388 (2023).
A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials, (joint with S. Falletta and L. Scuderi), Journal of Computational and Applied Mathematics 441, 115625 (2024).
Some properties of a modified Hilbert transform, to appear in Comptes Rendus. Mathématique
Runge-Kutta convolution quadrature based on Gauss methods, (joint with L. Banjai), submitted.
Generalized convolution quadrature based on the trapezoidal rule, (joint with L. Banjai), submitted.
Stability of conforming space-time isogeometric methods for the wave equation, (joint with S. Fraschini) submitted.
Number Theory
Binary recurrences with prime powers as fixed points of their discriminator, INTEGERS (21) A116, (2021).
On a basic mean value Theorem with explicit exponents, International Journal of Number Theory, 18, (3), 673-690 (2022).
On the minimal number of solutions of the equation ϕ(n+k)=Mϕ(n), M=1, 2, (joint with L. Sillari), Journal of Integers Sequences (26) (2023) Paper No. 26.1.3.
On the discriminator of Lucas sequences II (joint with L. Florian and P. Moree).