= Germund Dahlquist
{c}
= Germund G. Dahlquist
{c}
{synonym}
Germund Dahlquist established fundamental stability restrictions for <linear multistep methods> for <ordinary differential equations>. His 1963 paper analyzes <A-stability> and the associated order barrier, while identifying the special role of the <trapezoidal rule>. The result explains why increasing formal accuracy alone cannot guarantee stable integration of rapidly decaying differential equations.<A special stability problem for linear multistep methods by Germund Dahlquist>[Sections 1–2]{ref}
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