Implicit Runge-Kutta methods for transferable differential-algebraic equations

• Autorzy: M. Arnold
• Języki publikacji: EN

Abstrakty

EN

The numerical solution of transferable differential-algebraic equations (DAE's) by implicit Runge-Kutta methods (IRK) is studied. If the matrix of coefficients of an IRK is non-singular then the arising systems of nonlinear equations are uniquely solvable. These methods are proved to be stable if an additional contractivity condition is satisfied. For transferable DAE's with smooth solution we get convergence of order $min(k_E,k_I + 1)$, where $k_E$ is the classical order of the IRK and $k_I$ is the stage order. For transferable DAE's with generalized solution convergence of order 1 is ensured, provided that $k_E ≥ 1$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1994
• Tom: 29
• Numer: 1
• Strony: 267-274

Daty

wydano

1994

Twórcy

autor

M. Arnold

• Department of Mathematics, University of Rostock, Universitätsplatz 1, D-18051 Rostock, Germany

Bibliografia

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