The numerical modeling of mechanical waves is currently a fundamental tool for the study
and investigation of their propagation in media with heterogeneous physical properties …

The exponential time integration, ie, time integration which involves the matrix exponential,
is an attractive tool for time domain modeling involving Maxwell's equations. However, its …

Hamiltonian systems are known to conserve the Hamiltonian function, which describes the
energy evolution over time. Obtaining a numerical spatio-temporal scheme that accurately …

This work addresses the simulation of heat flow and electric currents in thin wires. An
important application is the use of bond wires in microelectronic chip packaging. The heat …

The equivalence between field and circuit models is shown and formalised. Accordingly, an
algorithm for the automated generation of circuit netlists out of field models is presented …

This thesis deals with the electrothermal 3D field and circuit simulation of structures
containing thin wires to evaluate their failure probability. Failure probabilities of wires in chip …

This report summarizes some of the key aspects behind the implementation of the Mimetic
Relaxation Runge Kutta (RRK) methods for hyperbolic partial differential equations (PDEs) …