has characteristic is hybrid of Runge-Kutta based method implicit method type backward differentiation formula embedded Runge-Kutta method method of lines hybrid method Adams predictor-corrector method NDSolve method 2011-06-16 http://identifiers.org/isbn/978-1-57955-058-5 AZ Mathematica The Mathematica computation system function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations as well as some partial differential equations. NDSolve can also solve some differential-algebraic equations, which are typically a mix of differential and algebraic equations. partitioned Runge-Kutta method