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, accepted in Comptes Rendus. Mathématique.
Runge-Kutta convolution quadrature based on Gauss methods, (joint with L. Banjai), accepted in Numerische Mathematik.
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).