Report On Numerical Methods Employed By The Mathematical Tables Project PDF Download
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Author | : United States. National Bureau of Standards. Computation Laboratory |
Publisher | : |
Total Pages | : 104 |
Release | : 1946 |
Genre | : Numerical calculations |
ISBN | : |
Download Report on Numerical Methods Employed by the Mathematical Tables Project Book in PDF, ePub and Kindle
Author | : United States. National Bureau of Standards. National Applied Mathematics Laboratories |
Publisher | : |
Total Pages | : 650 |
Release | : 1949 |
Genre | : Mathematics |
ISBN | : |
Download Projects and Publications Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 640 |
Release | : 1947 |
Genre | : Mathematics |
ISBN | : |
Download Projects and Publications of the National Applied Mathematics Laboratories Book in PDF, ePub and Kindle
Author | : United States. Office of Scientific Research and Development. National Defense Research Committee |
Publisher | : |
Total Pages | : 790 |
Release | : 1946 |
Genre | : Microfilms |
ISBN | : |
Download Summary Technical Report of NDRC Book in PDF, ePub and Kindle
Author | : Thomas Allan Grandine |
Publisher | : Oxford University Press, USA |
Total Pages | : 170 |
Release | : 1990 |
Genre | : Computers |
ISBN | : |
Download The Numerical Methods Programming Projects Book Book in PDF, ePub and Kindle
Traditional numerical analysis books concentrate either on the mathematical or programming aspects of numerical algorithms. This textbook is different inasmuch as it emphasizes the relevance of these techniques to the real world and the use of a widely available library of numerical software in their application. The book consists of 22 carefully graded projects which will lead the reader through the techniques typically taught as part of a first course in numerical analysis. Throughout the reader is presented with projects which reflect very real problems that occur in science and industry. At the same time, the reader becomes accustomed to using a good library of numerical software when writing their programs. It is a theme of this book that the use of a solid, robust and bug-free software library will improve computational results and minimize the effort of programming. By integrating the use of the NAG (Numerical Algorithms Group) FORTRAN library into the projects, students will develop experience and expertise in the use of a software library and, by practical example, be better prepared for working further with numerical analysis libraries. This lively and entertaining text will provide a valuable complement to more traditional numerical analysis books. Answers to exercises are included as well as full documentation of the relevant library routines used.
Author | : United States. National Bureau of Standards. Applied Mathematics Division |
Publisher | : |
Total Pages | : 766 |
Release | : 1951 |
Genre | : |
ISBN | : |
Download Projects and Publications Book in PDF, ePub and Kindle
Author | : Magnus Rudolph Hestenes |
Publisher | : |
Total Pages | : 208 |
Release | : 1991 |
Genre | : Numerical analysis |
ISBN | : |
Download NBS-INA, the Institute for Numerical Analysis, UCLA 1947-1954 Book in PDF, ePub and Kindle
Author | : U.S. National Bureau of Standards. Applied Mathematics Division |
Publisher | : |
Total Pages | : 656 |
Release | : 1950 |
Genre | : Mathematics |
ISBN | : |
Download Projects and Publications Book in PDF, ePub and Kindle
Author | : Milton Abramowitz |
Publisher | : Courier Corporation |
Total Pages | : 1068 |
Release | : 1965-01-01 |
Genre | : Mathematics |
ISBN | : 9780486612720 |
Download Handbook of Mathematical Functions Book in PDF, ePub and Kindle
An extensive summary of mathematical functions that occur in physical and engineering problems
Author | : John C. Butcher |
Publisher | : Springer Nature |
Total Pages | : 310 |
Release | : 2021-04-01 |
Genre | : Mathematics |
ISBN | : 3030709566 |
Download B-Series Book in PDF, ePub and Kindle
B-series, also known as Butcher series, are an algebraic tool for analysing solutions to ordinary differential equations, including approximate solutions. Through the formulation and manipulation of these series, properties of numerical methods can be assessed. Runge–Kutta methods, in particular, depend on B-series for a clean and elegant approach to the derivation of high order and efficient methods. However, the utility of B-series goes much further and opens a path to the design and construction of highly accurate and efficient multivalue methods. This book offers a self-contained introduction to B-series by a pioneer of the subject. After a preliminary chapter providing background on differential equations and numerical methods, a broad exposition of graphs and trees is presented. This is essential preparation for the third chapter, in which the main ideas of B-series are introduced and developed. In chapter four, algebraic aspects are further analysed in the context of integration methods, a generalization of Runge–Kutta methods to infinite index sets. Chapter five, on explicit and implicit Runge–Kutta methods, contrasts the B-series and classical approaches. Chapter six, on multivalue methods, gives a traditional review of linear multistep methods and expands this to general linear methods, for which the B-series approach is both natural and essential. The final chapter introduces some aspects of geometric integration, from a B-series point of view. Placing B-series at the centre of its most important applications makes this book an invaluable resource for scientists, engineers and mathematicians who depend on computational modelling, not to mention computational scientists who carry out research on numerical methods in differential equations. In addition to exercises with solutions and study notes, a number of open-ended projects are suggested. This combination makes the book ideal as a textbook for specialised courses on numerical methods for differential equations, as well as suitable for self-study.