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The finite element method since its development in the 1950’s has been used extensively in solving complex problems involving partial differential equations. The conventional finite element methods use piecewise Lagrange interpolation functions for approximating displacements. The aim of this research is to explore finite element analysis using B-spline interpolation. B-splines are piecewise defined polynomial curves which provide higher continuity of derivatives than piecewise Lagrange interpolation functions. This work focuses on the implementation and comparison of the B-spline finite elements in contrast with the conventional finite elements. This thesis observes that the use of B-spline interpolation functions can reduce the computational cost significantly. It is an efficient technique and can be conveniently implemented into the existing finite element programs.

Thesis (Ph. D.)--John Hopkins University, 1912. / "Reprinted from American journal of mahtematics, vol. XXXVI, no. 1." Biographical.

Thesis (M.S.)--West Virginia University, 2003. / Title from document title page. Document formatted into pages; contains x, 87 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 72-73).

The next generation of mobile telecommunication, 5G, will be specified in the near future. One of the proposed changes relative to the previous generation, 4G,is the inclusion of a new system control plane (SCP). The purpose of the SCP is to improve system scalability, forward compatibility, peak performance and to enable a higher degree of support for advanced antenna techniques. This is done by logically separating data transmitted explicitly from and to the user, the dynamic transmissions, from the broadcasted transmissions that remain constant regardless of user activity, the static transmissions, and by then redesigning the static part to make it more lean. This is expected to have several positive effects such as considerably more free resources, resulting in energy savings and potentially increased usage of MIMO. Knowing what effect the SCP has upon aspects such as random access is of importance when designing the solution that will go into the standard. Simulations show that there is potential in the inclusion of the new SCP. While the simulated 5G candidate systems that include the SCP have an increased delay when running the random access procedure, some aspects of the procedure have been improved. The main differences relative to the simulated 4G system are the performance of the first message in the procedure, which increased, and the performance of the second message in the procedure, which decreased. The deficiencies found in the handling of the second message, however, can be alleviated by using a more proper algorithm and channel design than what was used in this study.

There are thousands of students being examined in universities each year. Most of those knowledge inspections are fulfilled in written form. It means that a lot of works must be checked. So many lecturers like to do examinations in a form of testing. Test - a systematic procedure that helps to measure some model of behaviour of individual for valuing that behaviour according to particular standards, norms. Tests render quantitative evaluation of skills or studies advancement and show what is being learned. Testing helps to evaluate students faster or more objective and to minimize the probability of the false evaluation. But it takes quite a lot of time to prepare tests. It’s difficult to create problematic or simulation situations in the paper test. The better way is to use computerised testing systems. Department of Practical Informatics uses small plane and 3-D geometric transformations testing system, which is pretty limited and works only in AutoCAD environment. There is no possibility of saving students’ results. This system fulfils only a part of lecturer’s requirements. The goal of the work is to create plane and 3-D geometric transformations testing (creation of tests and testing process itself) system according to definite specification. The tasks which help to reach the goal are: to review and to analyse all plane and 3-D geometric transformations; to formulate the task of the test creation and testing process support for geometric transformations; to formulate... [to full text]

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Thesis (M.S.)--University of Michigan, 1984.

Thesis (M.S.)--University of Michigan, 1975.

Thesis (M.S.)--University of Michigan, 1979.