Computer-aided engineering techniques are indispensable in modern developments. In particular, partial differential equations commonly used to simulate the dynamics of physical phenomena, but very large systems often intractable within a reasonable computation time, even when using supercomputers. To overcome inherent limit classical computing, we present variational quantum algorithm for solvi...

The Thomson’s Theorem states that static charge distributions in conductors show up at the conducting surfaces in an equipotential configuration, so that the electrostatic energy is a minimum. In this work we study an analogue statement for magnetic systems: in a given set of conductors, the stored magnetic field energy reaches the minimum value for superficial current distributions so that the...

Some new results on our approach 2] of edge integration for shape mod-eling are presented. It enables to nd the global minimum of active contour models' energy between two points. Initialization is made easier and the curve cannot be trapped at a local minimum by spurious edges. We modiied the \snake" energy by including the internal regularization term in the external potential term. Our metho...

The determination of a stable molecular structure can often be formulated in terms of calculating the global (or approximate global) minimum of a potential energy function. Computing the global minimum of this function is very difficult because it typically has a very large number of local minima which may grow exponentially with molecule size. The optimization method presented involves collect...

Some new results on our approach 2] of edge integration for shape mod-eling are presented. It enables to nd the global minimum of active contour models' energy between two points. Initialization is made easier and the curve cannot be trapped at a local minimum by spurious edges. We modiied the \snake" energy by including the internal regularization term in the external potential term. Our metho...

Dramatic alteration of an asteroid’s morphology need not involve high energy impacts between bodies. Simple sunlight shining on an asteroid can, through the YORP effect, cause it to undergo dramatic reconfigurations, fission into a binary asteroid or, in some cases, even undergo a catastrophic disruption with the asteroid losing up to 20% of its initial mass. The YORP effect has recently been d...