The policy iteration method is a classical algorithm for solving optimal control problems. We introduce Mean Field Games systems and we prove, under monotonicity assumption on the coupling cost, convergence of this procedure to solution problem.

radiotherapy plays an essential role in the management of breast cancer. three-dimensional conformal radiation therapy (3d-crt) is applied based on 3d image information of anatomy of patients. in three-dimensional conformal radiation therapy (3d-crt) for breast cancer one of the common techniques is tangential technique. in this project, various parameters of tangential and supraclavicular fiel...

In this paper the piecewise level set method is combined with phase field method to solve the shape and topology optimization problem. First, the optimization problem is formed based on piecewise constant level set method then is updated using the energy term of phase field equations. The resulting diffusion equation which updates the level set function and optimization ...

General practice prescribing costs have risen rapidly in recent years, and there are wide variations between practices in rates and costs of prescribing. Setting general practice prescribing budgets with a capitation based formula seems to offer a solution to these problems. However, capitation based formulas may unfairly penalise legitimate variations and increases in prescribing costs. We the...

A novel technique to accelerate the aggregation and disaggregation stages in evanescent plane wave methods is presented. The new method calculates the six plane wave radiation patterns from a multipole expansion (aggregation) and calculates the multipole expansion of an incoming field from the six plane wave incoming field patterns. It is faster than the direct approach for multipole orders lar...