Compatable smooth interpolation in triangles

Boolean sum smooth interpolation to boundary data on a triangle is described. Sufficient conditions are given so that the functions when pieced together form a CN-1(Ω) function over a triangular subdivision of a polygonal region Ω and the precision sets of the interpolation functions are derived. The interpolants are modified so that the compatability conditions on the function which is interpolated can be removed and a C1 interpolant is used to illustrate the theory. The generation of interpolation schemes for discrete boundary data is also discussed

Interpolation remainder theory from taylor expansions with non-rectangular domains of influence

Sobolev norm error bounds are derived for interpolation remainders on triangles using two types of Taylor expansion. These bounds are applied to the finite element analysis of Poisson's equation on a triangulation of a polygonal region

Smooth polynomial interpolation to boundary data on triangles

Boolean sum interpolation theory is used to derive a polynomial interpolant which interpolates a function F ∈ CN(∂T), and its derivatives of order N and less, on the boundary 3T of a triangle T. A triangle with one curved side is also considered

The transitioning process: A qualitative case study of international swimming and diving student-athletes competing in the NCAA

Prior studies examining international student-athletes’ transition experiences to life on American colleges campuses have generally focused on outcomes related to their recruiting experience and change adaptation. Few studies included the adjustment process and challenges faced by the individuals. The primary purpose of this case study was to add to the existing literature by expanding on the psychological transition process of international swimming and diving student-athletes experience after joining an American intercollegiate athletics team. Utilizing Bridges (1986) model, the present study employed semi-structured interviews amongst 10 international student-athletes from a large NCAA Division I university. A thematic analysis revealed seven major themes, which were: realization that change was necessary, reflecting on the decision, language barrier, education system, cultural adjustment and valuable lessons,international bond, and words of wisdom. The findings suggested transition is a multi-stage process that occurs throughout student-athletes’ experiences on campus.   Key words: college athletics, international student-athletes, transitioning proces