Titlebook: B-Series; Algebraic Analysis o John C. Butcher Book 2021 Springer Nature Switzerland AG 2021 Butcher series.Butcher group.numerical methods

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書目名稱B-Series影響因子(影響力)




書目名稱B-Series影響因子(影響力)學(xué)科排名




書目名稱B-Series網(wǎng)絡(luò)公開度




書目名稱B-Series網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱B-Series被引頻次




書目名稱B-Series被引頻次學(xué)科排名




書目名稱B-Series年度引用




書目名稱B-Series年度引用學(xué)科排名




書目名稱B-Series讀者反饋




書目名稱B-Series讀者反饋學(xué)科排名

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Book 2021 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

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0179-3632 study of trees and related constructs.Applies B-series to gB-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 met

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Kornel Warwas,Krzysztof Augustyneksidered. Compositions of methods is introduced leading to the composition theorem for integration methods. A number of subgroups of the group of trees are introduced, many of which have a relationship with simplifying assumptions for Runge–Kutta methods.

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A Cluster-Based Quality Aware Web Systemat G-symplectic methods perform well over millions of time steps, even though they will eventually fail because of round-off errors. Energy preserving methods are briefly surveyed, based on Continuous Stage Runge–Kutta methods, which were previously introduced in Chapter 4, as examples of integration methods.

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