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Titlebook: Numerical Quadrature and Solution of Ordinary Differential Equations; A Textbook for a Beg A. H. Stroud Textbook 1974 Springer Science+Busi

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书目名称Numerical Quadrature and Solution of Ordinary Differential Equations
副标题A Textbook for a Beg
编辑A. H. Stroud
视频video
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Numerical Quadrature and Solution of Ordinary Differential Equations; A Textbook for a Beg A. H. Stroud Textbook 1974 Springer Science+Busi
描述This is a textbook for a one semester course on numerical analysis for senior undergraduate or beginning graduate students with no previous knowledge of the subject. The prerequisites are calculus, some knowledge of ordinary differential equations, and knowledge of computer programming using Fortran. Normally this should be half of a two semester course, the other semester covering numerical solution of linear systems, inversion of matrices and roots of polynomials. Neither semester should be a prerequisite for the other. This would prepare the student for advanced topics on numerical analysis such as partial differential equations. We are philosophically opposed to a one semester surveyor "numerical methods" course which covers all of the above mentioned topics, plus perhaps others, in one semester. We believe the student in such a course does not learn enough about anyone topic to develop an appreciation for it. For reference Chapter I contains statements of results from other branches of mathematics needed for the numerical analysis. The instructor may have to review some of these results. Chapter 2 contains basic results about interpolation. We spend only about one week of a se
出版日期Textbook 1974
关键词Mean value theorem; Numerical integration; numerical analysis; numerical quadrature; ordinary differenti
版次1
doihttps://doi.org/10.1007/978-1-4612-6390-6
isbn_softcover978-0-387-90100-8
isbn_ebook978-1-4612-6390-6Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1974
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Numerical Quadrature and Solution of Ordinary Differential Equations978-1-4612-6390-6Series ISSN 0066-5452 Series E-ISSN 2196-968X
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Quadrature,In this chapter we discuss methods for approximating definite integrals. Most of the approximations we discuss have the general form . We call such approximations .. The x. are called the . (or .) in the formula; the A. are called the . (or .) in the formula. E[f] is the error in the approximation.
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0066-5452 knowledge of the subject. The prerequisites are calculus, some knowledge of ordinary differential equations, and knowledge of computer programming using Fortran. Normally this should be half of a two semester course, the other semester covering numerical solution of linear systems, inversion of matr
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