William F. Ames Numerical Methods for Partial Differential Equations

[img]223806[/imgAcademic Press | ISBN 0120567601 | 2nd edn (1977) | 365 pages | DjVu | 3.1 MBAmes' textbook is a second edition or, more accurately, an expansion of its highlyreputable predecessor published by Barnes and Noble in 1969. Apparently the author'sprinciple in producing this new edition was "If it ain't broke, don't fix it," for he has leftall of the material in the first edition virtually unchanged, both in text and in problems.For those unfamiliar with his earlier book, Ames presented the expected coverage infive chapters:"Fundamentals,""Parabolicequations,""Ellipticequations,""Hyperbolic equations," and "special topics." In the new edition he has added somemore recent methods: hopscotch and explicit-implicit schemes for conservation laws inChapter 4; "Monte Carlo methods," the method of lines, the fast Fourier transform,and the method of fractional steps in Chapter 5; and a newChapter 6, "Weightedresiduals and finite elements." These additions are welcome, and they keep the bookfrom showing its age, but they create added difficulty in fitting the material into astandard length course.The numericalmethods are, ofcourse,computer-orientedandAmes makesoccasional remarks about efficiency, but he does not take up computer coding per se.There are, however, occasional problems which expect computational algorithms to be developed.This book is not for the mathematically immature students-probablythree yearsofanalysis, including some linear algebra, make a reasonable background-butthestyle is informal and the level ofrigor is not excessive, so engineering and sciencestudents, as well as applied mathematics students, willfind it to their tastes. Theproblem selection is adequate (nearly 300), though not particularly imaginative, and theproblem selection is adequate (nearlybibliography is excellent (over 500 entries).JOHN M. PERRYVirginia Polytechnic Institute and State UniversityThe posted cover was taken from the third edition. Also, the first few pages of the book, including the table of contents, is at the end.

from Depositfileses/1371671

Thank you!

Thank You!