6 papers
Convolution quadrature based on a truncated trapezoidal rule
Matteo Ferrari
We study the truncated trapezoidal rule, a family of A-stable second order multistep methods parametrized by an integer , a compromise between BDF2 and the trapezoidal rul…
Generalized convolution quadrature based on the trapezoidal rule
Lehel Banjai, Matteo Ferrari
We present a novel generalized convolution quadrature method that accurately approximates convolution integrals. During the late 1980s, Lubich introduced convolution quadrature tec…
Runge-Kutta convolution quadrature based on Gauss methods
Lehel Banjai, Matteo Ferrari
An error analysis of Runge-Kutta convolution quadrature based on Gauss methods applied to hyperbolic operators is given. The order of convergence relies heavily on the parity of th…
CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems
Luca Desiderio, Silvia Falletta, Matteo Ferrari +1
For the solution of 2D exterior Dirichlet Poisson problems we propose the coupling of a Curved Virtual Element Method (CVEM) with a Boundary Element Method (BEM), by using decouple…
On the minimal number of solutions of the equation , ,
Matteo Ferrari, Lorenzo Sillari
We fix a positive integer and look for solutions of the equations and . We prove that Fermat primes can be used to build five solutions for th…
On a basic mean value Theorem with explicit exponents
Matteo Ferrari
In this paper we follow a paper from A. Sedunova (2017) regarding R. C. Vaughan's basic mean value Theorem (Acta Arith. 1980) to improve and complete a more general demonstration f…