Introduces semilinear order conditions for Runge-Kutta methods on stiff semilinear ODEs via orthogonality relations and rooted trees, proving uniform global error bounds independent of stiffness.
Journal of Computational and Applied Mathematics255, 417–431 (2014) 24
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A Stiff Order Condition Theory for Runge-Kutta Methods Applied to Semilinear ODEs
Introduces semilinear order conditions for Runge-Kutta methods on stiff semilinear ODEs via orthogonality relations and rooted trees, proving uniform global error bounds independent of stiffness.