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• The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

#### Uniform polynomial approximation of even and odd functions on symmetric intervals

Dunham, Charles Burton January 1963 (has links)
An odd or even continuous function on a symmetric interval [-a,a] can be evaluated in two different ways, each using only one uniform polynomial approximation. It is of practical importance to know which method of evaluation takes fewer arithmetic operations. This is a special case of a more general problem, which is concerned with the optimal subdivision of the interval of evaluation of a function f into sub-intervals, on each of which f has a uniform polynomial approximation. In the first three chapters a method of computing the number of arithmetic operations for evaluation is developed. Expansions in Chebyshev polynomials are studied, with emphasis on the practical problem of computing coefficients, and then it is shown how the expansion in Chebyshev polynomials may be used to obtain truncation error bounds for the uniform polynomial approximation. From these bounds the required degree for the approximation and the required number of multiplications for evaluation may be easily determined. Tables of computed results are given. In Chapter 4 theoretical results are developed from the theory of Lagrange interpolation and these results are in agreement with the computed results obtained previously. In the problem of evaluation of even and odd functions on [-a,a] , use of the uniform polynomial approximation on [-a,a] is advantageous unless the rate of increase of the derivative of f is rapid. In the general case of evaluation of a continuous function, use of approximations on sub-intervals becomes more advantageous the more rapidly the derivatives of f increase. / Science, Faculty of / Mathematics, Department of / Graduate
2

#### Generating 2f orthogonal arrays.

by Yuen Wong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1990. / Chapter Chapter 1 --- Introduction --- p.1 / Chapter Chapter 2 --- Basic Results --- p.5 / Chapter §2.1 --- General Results --- p.5 / Chapter §2.2 --- Williamson's Method --- p.8 / Chapter Chapter 3 --- Algorithms And Subroutines --- p.15 / Chapter §3.1 --- Introduction --- p.15 / Chapter §3.2 --- Increasing Determinant Method --- p.15 / Chapter §3.3 --- Williamson's Method - Direct Computation --- p.21 / Chapter §3.4 --- Williamson's Method - Increasing Determinant --- p.26 / Chapter Chapter 4 --- Comparisons And Recommendations On Algorithms --- p.32 / Chapter §4.1 --- Introduction --- p.32 / Chapter §4.2 --- Comparisons And Recommendations On IMPROV(N) --- p.32 / Chapter §4.3 --- Comparisons And Recommendations On GENHA(N) --- p.34 / Chapter §4.4 --- Comparisons And Recommendations On VTID(N) --- p.35 / Chapter §4.5 --- Summary --- p.37 / Chapter Chapter 5 --- Applications Of Hadamard Matrices --- p.38 / Chapter §5.1 --- Hadamard Matrices And Balanced Incomplete Block Designs' --- p.38 / Chapter §5.2 --- Hadamard Matrices And Optimal Weighing Designs --- p.43 / Chapter Chapter 6 --- Conclusion --- p.51 / References --- p.52 / Appendices --- p.53
3

#### Projective iterative schemes for solving systems of linear equations

Hawkins, John Benjamin 12 1900 (has links)
No description available.
4

#### A numerical and experimental facility for wire antenna array analysis /

Lemanczyk, Jerzy M. January 1978 (has links)
No description available.
5

#### An information theoretic measure of algorithmic complexity

Wright, Lois E. January 1974 (has links)
This work is a study of an information theoretic model which is used to develop a complexity measure of an algorithm. The measure is defined to reflect the computational cost and structure of the given algorithm. In this study computational costs are expressed as the execution times of the algorithm, where the algorithm is coded as a program in a machine independent language, and analysed in terms of its representation as a pseudograph. It is shown that this measure aids in deciding which sections of the algorithm should be optimized, segmented or expressed as subprograms. The model proposed is designed to yield a measure which reflects both the program flow and computational cost. Such a measure allows an 'optimal' algorithm to be selected from a set of algorithms, all of which solve the given problem. This selection is made with a more meaningful criterion for decision than simply execution cost. The measure can also be used to further analyse a given algorithm and point to where code optimization techniques should be applied. However it does not yield a method of generating equivalent algorithms. / Science, Faculty of / Computer Science, Department of / Graduate
6

#### A numerical and experimental facility for wire antenna array analysis /

Lemanczyk, Jerzy M. January 1978 (has links)
No description available.
7

#### Finite element solution of exterior two-dimensional electrostatics problems.

Hsieh, Ming Sem. January 1971 (has links)
No description available.
8

#### Computer synthesis of a class of impedance matrices

Budner, Alan, January 1968 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1968. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliography.
9

#### Finite element solution of exterior two-dimensional electrostatics problems.

Hsieh, Ming Sem. January 1971 (has links)
No description available.
10

#### On the numerical evaluation of finite-part integrals involving an algebraic singularity

Kutt, H. R. (Helmut Richard) 08 1900 (has links)