Can I read B-Series: Algebraic Analysis of Numerical Methods (Springer Series in Computational Mathematics, 55) on EtoBox?

B-Series: Algebraic Analysis of Numerical Methods (Springer Series in Computational Mathematics, 55) by John C. Butcher (auth.) is a nonfiction available to read on EtoBox.

What is B-Series: Algebraic Analysis of Numerical Methods (Springer Series in Computational Mathematics, 55) about?

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 integrat ion 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

Who reads B-Series: Algebraic Analysis of Numerical Methods (Springer Series in Computational Mathematics, 55)?

Author

John C. Butcher (auth.)

Publisher

Springer International Publishing : Imprint: Springer

Published

2021

Language

EN

ISBN

9783030709556

Category

nonfiction

Subjects

Mathematics, Stem