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Publication:3056944
zbMath1212.65279MaRDI QIDQ3056944
Publication date: 23 November 2010
Full work available at URL: http://mathnet.ru/eng/mm/v22/i5/p146
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differential-algebraic equationsstiff systemsRunge-Kutta methodhigher accuracyexplicit and implicit schemes
Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) Numerical methods for stiff equations (65L04)
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Third- and fourth-order ESDIRK methods for stiff and differential-algebraic problems ⋮ Singly implicit diagonally extended Runge-Kutta methods of fourth order ⋮ How to avoid accuracy and order reduction in Runge-Kutta methods as applied to stiff problems ⋮ Implicit Runge-Kutta methods with explicit internal stages ⋮ Runge-Kutta collocation methods for differential-algebraic equations of indices 2 and 3
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