Report On Numerical Methods Employed By The Mathematical Tables Project
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Report On Numerical Methods Employed By The Mathematical Tables Project
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Author : United States. National Bureau of Standards. Computation Laboratory
language : en
Publisher:
Release Date : 1946
Report On Numerical Methods Employed By The Mathematical Tables Project written by United States. National Bureau of Standards. Computation Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with Numerical calculations categories.
Projects And Publications
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Author : United States. National Bureau of Standards. National Applied Mathematics Laboratories
language : en
Publisher:
Release Date : 1949
Projects And Publications written by United States. National Bureau of Standards. National Applied Mathematics Laboratories and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Mathematics categories.
Projects And Publications Of The National Applied Mathematics Laboratories
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Author :
language : en
Publisher:
Release Date : 1947
Projects And Publications Of The National Applied Mathematics Laboratories written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Mathematics categories.
Summary Technical Report Of Ndrc
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Author : United States. Office of Scientific Research and Development. National Defense Research Committee
language : en
Publisher:
Release Date : 1946
Summary Technical Report Of Ndrc written by United States. Office of Scientific Research and Development. National Defense Research Committee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with Microfilms categories.
B Series
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Author : John C. Butcher
language : en
Publisher: Springer Nature
Release Date : 2021-04-01
B Series written by John C. Butcher and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Mathematics categories.
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.
Mathematical Tables And Other Aids To Computation
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Author :
language : en
Publisher:
Release Date : 1959
Mathematical Tables And Other Aids To Computation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Mathematics categories.
Mathematics Of Computation
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Author :
language : en
Publisher:
Release Date : 1960
Mathematics Of Computation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.
Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
Measures For Progress
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Author : Rexmond Canning Cochrane
language : en
Publisher:
Release Date : 1966
Measures For Progress written by Rexmond Canning Cochrane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Weights and measures categories.
Miscellaneous Publication National Bureau Of Standards
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Author : United States. National Bureau of Standards
language : en
Publisher:
Release Date : 1934
Miscellaneous Publication National Bureau Of Standards written by United States. National Bureau of Standards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1934 with Weights and measures categories.
Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1966
Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Weights and measures categories.