Lucas chains are a special type of addition chains satisfying an extra condition: for the representation ak = aj + ai of each element ak in the chain, the difference aj - ai must a...
A probability-one homotopy algorithm for solving nonsmooth equations is described. This algorithm is able to solve problems involving highly nonlinear equations, where the norm of ...
We propose a new algorithm for solving smooth nonlinear equations in the case where their solutions can be singular. Compared to other techniques for computing singular solutions, ...
Abstract. We show how computations such as those involved in American or European-style option price valuations with the explicit finite difference method can be performed in par...
Above the critical temperature for the order-disorder transition, diblock copolymer melts have been observed to exhibit localized structures that exist within the homogeneous mixtu...