B-series and B-series coefficients. (English) Zbl 1432.65096
Summary: B-series, together with the algebraic system which underpins them, are essential tools in the study of properties of numerical methods for evolutionary problems. This paper surveys the properties of these constructs and relates the theory to applications in numerical analysis.
MSC:
65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |
65L05 | Numerical methods for initial value problems involving ordinary differential equations |