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Titlebook: Numerical Methods in Engineering & Science; Graham Vahl Davis Book 1986 G. de Vahl Davis 1986 Algebra.Numerical integration.algorithms.des

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发表于 2025-3-21 19:32:45 | 显示全部楼层 |阅读模式
书目名称Numerical Methods in Engineering & Science
编辑Graham Vahl Davis
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图书封面Titlebook: Numerical Methods in Engineering & Science;  Graham Vahl Davis Book 1986 G. de Vahl Davis 1986 Algebra.Numerical integration.algorithms.des
描述This book is designed for an introductory course in numerical methods for students of engineering and science at universities and colleges of advanced education. It is an outgrowth of a course of lectures and tutorials (problem­ solving sessions) which the author has given for a number of years at the University of New South Wales and elsewhere. The course is normally taught at the rate of 1i hours per week throughout an academic year (28 weeks). It has occasionally been given at double this rate over half the year, but it was found that students had insufficient time to absorb the material and experiment with the methods. The material presented here is rather more than has been taught in anyone year, although all of it has been taught at some time. The book is concerned with the application of numerical methods to the solution of equations - algebraic, transcendental and differential - which will be encountered by students during their training and their careers. The theoretical foundation for the methods is not rigorously covered. Engineers and applied scientists (but not, of course, mathematicians) are more con­ cerned with using methods than with proving that they can be used.
出版日期Book 1986
关键词Algebra; Numerical integration; algorithms; design; differential equation; experiment; growth; numerical an
版次1
doihttps://doi.org/10.1007/978-94-011-6958-5
isbn_softcover978-0-412-43880-6
isbn_ebook978-94-011-6958-5
copyrightG. de Vahl Davis 1986
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The solution of equations,There are only a few types of equations which can be solved by simple, direct methods in a finite (and predictable) number of operations. These include the linear equation . and the quadratic equation . for which the solutions are, of course, well known.
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Integral methods for the solution of boundary value problems,In this book we have, so far, concentrated heavily on finite difference methods for the solution of boundary value problems. These methods were discussed in Sections 5.12 and 5.13 for ordinary differential equations and in Chapter 6 for elliptic partial differential equations.
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Ordinary differential equations, or higher-order equations, which can be written . have solutions which may be written . The problem is to determine, from (5.1) or (5.2) and the necessary boundary conditions, the relationaship (5.3) between . and ..
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,Partial differential equations II — parabolic equations,d of time ., and in which the coefficient . is a constant. Strictly, this is a two-dimensional equation: . is a function of two co-ordinates. However, in the form, for example, of (7.2) below, this is usually called the ‘one-dimensional heat conduction equation’ because it describes the unsteady conduction of heat in one . dimension.
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