= Karl Heun
{c}
{title2=1859-1929}
{wiki}
A German <mathematician> who studied <linear differential equations> and later held a chair in technical <mechanics> at Karlsruhe. His work on second-order equations with four singular points led to the <Heun equation>, extending the family associated with the <hypergeometric differential equation>.
His name is also attached to <Heun's method>, a predictor-corrector <Runge-Kutta method> for numerical integration. The predictor estimates an endpoint slope and the correction averages it with the initial slope. The special-function equation and the numerical method are distinct contributions linked by the study of <differential equations>, rather than two names for the same construction. https://mathshistory.st-andrews.ac.uk/Biographies/Heun/[University of St Andrews historical biography, mathematical work and career]{ref}
Homepage: https://mathshistory.st-andrews.ac.uk/Biographies/Heun/
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{title=Portrait of <Karl Heun>}
{description=Historical portrait hosted by Wikimedia Commons; attribution and licensing are recorded on the source page.}
{source=https://commons.wikimedia.org/wiki/File:Karl_Heun.jpg}
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