Abstract
The different physical phenomena that are relevant through this work are described by either space and time dependent partial differential equations or only time dependent differential algebraic equations. This chapter presents the different systems of equations that are required in this work, as well as the quantities that are involved. This includes the partial differential equations required for the description of electromagnetic fields, i.e. Maxwell’s equations and their different approximations, as well as the heat propagation. Furthermore, the system of differential equations for circuit simulation (modified nodal analysis) is derived and introduced.
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