Root Methods

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Root Methods

Author: A.L. Smit
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-09
Why a New Handbook on Root Methods? Uptake of water and nutrients is a key process in agricultural and natural ecosystems. Plant roots play a vital role in the supply of resources for growth, and yet we have a relatively poor understanding of how they function in the natural soil environment. Dr. B6hm began the Preface of his standard text on root research methods (B6hm 1979) with the comment: "Root research under natural jield conditions is a step-child of science. The reason for this is primarily methodological. The known methods are tedious, time-consuming and the accuracy of their results is of ten not very great". Although improvements have been made recently for some methods, working on roots is stiH tedious and time-consuming. Compared to some other disci plines, a root researcher requires a considerable budget for his or her work. It is for this reason that in root research careful planning, the choice of appro priate methods and also a clear idea of which root characteristic should be observed in relation to the goal of the research question are fundamental. Con sequently, it is recommended to make use of "root experience" developed else where as much as possible.
Numerical Methods for Engineers and Scientists, Second Edition,

Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."
Numerical Methods for Roots of Polynomials - Part I

Numerical Methods for Roots of Polynomials - Part I (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton's, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincent's method, simultaneous iterations, and matrix methods. There is an extensive chapter on evaluation of polynomials, including parallel methods and errors. There are pointers to robust and efficient programs. In short, it could be entitled "A Handbook of Methods for Polynomial Root-finding. This book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic. - First comprehensive treatment of Root-Finding in several decades - Gives description of high-grade software and where it can be down-loaded - Very up-to-date in mid-2006; long chapter on matrix methods - Includes Parallel methods, errors where appropriate - Invaluable for research or graduate course