The paper studies finite element methods for the simulation of time–dependent convection–diffusion–reaction equations with small diffusion: the SUPG method, a SOLD method and two types of FEM– FCT methods. The methods are assessed, in particular with respect to the size of the spurious oscillations in the computed solutions, at a 3D example with nonhomogeneous Dirichlet boundary conditions and ...

Old and new results for characterizing volume forms in functional integration. 1 The Wiener measure Defining volume forms on infinite dimensional spaces is a key problem in the theory of functional integration. The first volume form used in functional integration has been the Wiener measure. From the several equivalent definitions of the Wiener measure, we choose one [1] which can easily be ext...

The Hamilton-Jacobi equation for the loop effective action in strong turbulence with Gaussian random forces [1,2] is solved by making use of the smearing procedure for the loop space functional Laplacian, proposed in [3]. The solution obtained satisfies tensor-or scalar area law ansatz and depends on the initial data and the potential term in the loop Hamiltonian, averaged over loops. In the lo...

Traditional three-dimensional gait analyses require the skilled palpation of anatomical landmarks to identify joint parameters and produce reliable joint kinematics. Functional methods have been developed to help improve the reliability and validity of identifying joint kinematic parameters. The purpose of this study was to investigate whether a functional method could improve the between-day r...

This paper describes an effective method for teaching design in a deterministic manner that is especially effective for underrepresented students (e.g. culture, race, gender, physical disability, personality, etc.). Ten years ago we postulated that students can learn a deterministic design process not only to learn about design, but to better study math and science with peers through the use of...

The malocclusion of lingually displaced mandibular canine teeth is a common orthodontic problem in the domestic dog. Several treatment methods have been described, and their advantages and disadvantages have been extensively reviewed. This article describes a functional technique used in 38 dogs of different breeds for correction of the malocclusion. The technique consists of stimulating the do...

We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.