Birkhoff interpolation

Birkhoff interpolation is a mathematical technique for constructing a smooth function that passes through certain points while matching specified derivatives (rates of change) at those points. Unlike traditional interpolation, which only considers values, Birkhoff interpolation also incorporates derivative information, providing a more flexible way to shape the function. It's useful in applications like data fitting and numerical analysis, ensuring the resulting curve aligns closely with both the data points and their behavior, leading to more accurate and reliable models of complex phenomena.