Butcher tableau

A Butcher tableau is a structured way to display the coefficients used in Runge-Kutta methods, which are numerical techniques for solving differential equations. Imagine it as a recipe chart that guides how to combine previous values and incremental steps to accurately estimate the solution at the next point. The tableau organizes these coefficients into a grid, showing how each intermediate calculation influences the final result, ensuring the method's accuracy and stability. It's a compact reference that makes implementing these complex algorithms clearer and more systematic.