Software-Systeme enthalten in der Praxis häufig einen hohen Grad redundanten Quelltextes so genannte Klone. Von solcher Software-Redundanz wird angenommen, dass sie bei der Entwicklung und Wartung von Software zu zusätzlichem Aufwand und Problemen führt. Ein Ziel der Klonforschung besteht darin, Methoden und Werkzeuge für den Umgang mit Klonen oder deren Vermeidung zu entwickeln. Für das so gen...

(1) dp/dt + £ • grad p = Qp/e, whose solution p = pe(t, x, £), t > 0, x G jR , % G R, e > 0. Q is the linearized collision operator corresponding to a spherically symmetric hard potential, and e is a parameter which represents the mean free path. In a series of basic papers, Grad [6], [7], [8] studied the existence and asymptotic behavior of the solution of the initial value problem for (1), wh...

for their camaraderie and encouragement. I thank all of my friends in Atlanta who have made my time in grad school a rich and fulfilling experience. I would like to thank Regina Neequaye for her administrative assistance and John Graham and the ME department machine shop staff for their assistance in machining the experimental hardware.

We investigate optimal elliptic regularity of anisotropic div–grad operators in three dimensions at the crossing of a material interface and an edge of the spatial domain on the Neumann boundary part within the scale of Sobolev spaces.

We introduce a class of numerical schemes that preserve a discrete version of vorticity in conservation laws which involve grad advection. These schemes are based on reformulating finite volume schemes in terms of vertex centered numerical potentials. The resulting potential-based schemes have a genuinely multidimensional structure. A suitable choice of potentials leads to discrete vorticity pr...

In this paper, we study the div-curl-grad operators and some elliptic problems in the whole space R and in the half-space R+, with n ≥ 2. We consider data in weighted Sobolev spaces and in L.

Methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equations are presented. Featured methods include the Chapman-Enskog expansion, Grad’s moment method, and the author’s order of magnitude method. The resulting macroscopic equations are compared and discussed by means of simple problems, including linear stability, shock wave structures, and Couette flow.

The extended boundary node method (X-BNM) has been applied to a boundary-value problem of the Grad-Shafranov (G-S) equation and its performance has been numerically investigated by comparing with the dual reciprocity boundary element method (DRM). The result of computations shows that the accuracy of the X-BNM is higher than that of the DRM. Therefore, it is found that the X-BNM might be a powe...

The evolution of the polity, particularly the transition of chiefdoms to states, has been the subject of considerable debate. In this article, the authors engage the discussion surrounding the meta-theoretical positions on the tempo of change, specifically whether states emerged grad ually from quantitative changes in chiefdom societies—gradualism—or if their appearance was the result of punctu...

We study the dynamics of a point particle in a periodic array of spherical scatterers, and construct a stochastic process that governs the time evolution for random initial data in the limit of low scatterer density (Boltzmann-Grad limit). A generic path of the limiting process is a piecewise linear curve whose consecutive segments are generated by a Markov process with memory two.