Finite difference techniques of improved accuracy

Integral equations;

Lambert, J. D. ; Mitchell, A. R. (Andrew R.) ; Mitchell, A. R. (Andrew R.)

University:University of St Andrews

Department:Mathematics & Statistics (School of)

关键词: Integral equations;   

Others  :  https://research-repository.st-andrews.ac.uk/bitstream/handle/10023/13888/JohnLambertPhDThesis.pdf?sequence=2&isAllowed=y

来源: DR-NTU

【 摘 要 】

It is the major purpose of this thesis to propose finite difference techniques of improved accuracy for the numerical solution of ordinary differential equations, and for the numerical evaluation of definite integrals, the former problem being discussed in Chapter II, and the latter in Chapter IV. In Chapter III the stability of the formulae evolved in Chapter II is studied.