We present an advanced algorithm for an extraction tool that computes inductances of interconnect structures. As already pointed out in [I] the pursued energy concept leads to a 6-fold integral which can also be evaluated by use of the Monte Carlo method. Classical implementation of the Monte Carlo method, where the whole geometry has to be hunted for the associated element loses efficiency. Ou...

This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To ill...

Let I be a non degenerated non empty multiplicative loop with zero structure and let u be an element of Q(I). Then u1 is an element of I. Then u2 is an element of I. Let I be a non degenerated integral domain-like non empty double loop structure and let u, v be elements of Q(I). The functor u+ v yields an element of Q(I) and is defined by: (Def. 2) u+ v = 〈u1 · v2 + v1 ·u2, u2 · v2〉. Let I be a...

The numerical treatment of boundary integral equations in the form of boundary element methods has became very popular and powerful tool for engineering computations of boundary value problems, in addition to finite difference and finite element methods. Here, we present some of the most important analytical and numerical aspects of the boundary integral equation. The concept of the principle s...