A class of low order DIRK methods for a class of DAEs

DOI10.1016/S0168-9274(98)00123-8zbMath0945.65094OpenAlexW2060337465MaRDI QIDQ1807663

Frank Cameron

Publication date: 5 October 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00123-8

zbMATH Keywords

stabilitystiff systemsdifferential-algebraic equationlow orderDIRK methodsdiagonally-implicit Runge-Kutta methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items (7)

Starting algorithms for a class of RK methods for index-2 DAEs ⋮ Diagonally implicit Runge-Kutta methods for stiff problems ⋮ An analysis of the Prothero-Robinson example for constructing new DIRK and ROW methods ⋮ New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index ⋮ An analysis of the Prothero-Robinson example for constructing new adaptive ESDIRK methods of order 3 and 4 ⋮ Runge-Kutta methods in elastoplasticity ⋮ Quasi stage order conditions for SDIRK methods

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