We present a new algorithm which is named the Dynamical Functional Particle Method, DFPM. It is based on the idea of formulating a finite dimensional damped dynamical system whose stationary points are the solution to the original equations. The resulting Hamiltonian dynamical system makes it possible to apply efficient symplectic integrators. Other attractive properties of DFPM are that it has...

Methods for proving functional limit laws are developed for sequences of stochastic processes which allow a recursive distributional decomposition either in time or space. Our approach is an extension of the so-called contraction method to the space C[0, 1] of continuous functions endowed with uniform topology and the space D[0, 1] of càdlàg functions with the Skorokhod topology. The contractio...

Axiomatic Design (AD) is a methodology that utilizes customer needs as input and produces functional requirements, design parameters, and process variables through the use of matrix methods. AD is based on two design axioms; the independence and the information axiom. These two design axioms and the AD approach in general seem to be well-suited for the design and analysis of large-scale compute...

The history of complete denture impression procedures has been influenced largely by the development of impression materials from which new techniques and ideas arose. The purpose of this study was to compare the retention of complete dentures made by using different impression techniques like conventional, admixed, all green, and functional techniques. The results showed that there was signifi...

Axiomatic Design (AD) is a methodology that utilizes customer needs as input and produces functional requirements, design parameters, and process variables through the use of matrix methods. AD is based on two design axioms; the independence and the information axiom. These two design axioms and the AD approach in general seem to be well-suited for the design and analysis of large-scale compute...

In this work, a functional approximation method for calculating the linear functional of the solution of second-kind Fredholm integral equations is developed. When the method is applied to the collocation method or to the multi-projection method, it generates approximations which exhibit superconvergence. © 2008 Elsevier Ltd. All rights reserved.