4 papers · 1 filter
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…