Butcher tableau is essentially a compact recipe card that defines a specific Runge-Kutta method for solving ordinary differential equations. It neatly organizes all the coefficients you need for the calculation into a single table.
Definition
A Butcher Table represents a Runge-Kutta method for solving ordinary differential equations . It encodes how to compute intermediate stages and combine them to advance the solution.
General Form
- → time increments for intermediate stages
- → coefficients for combining previous values in each stage
- → final weights for combining all values to get
- → intermediate slope evaluations