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This paper investigates a few forms of Runge–Kutta methods based on dynamic iteration for index-2 differential–algebraic equations.
We investigate the approximation of linear index 2 differential-algebraic equations by implicit Runge-Kutta methods. Implicit Runge-Kutta methods cannot be ...
We analyze Runge–Kutta discretizations applied to index 2 differential algebraic equations (DAEs). The asymptotic features of the numerical and the exact ...
We consider the numerical solution of systems of semi-explicit index 2 differential-algebraic equations (DAEs) by methods based on Runge-Kutta (RK) ...
Missing: dynamic | Show results with:dynamic
Worst case: There are simple high-index DAEs with well-defined solutions for which backward Euler (and in fact all other multi-step and Runge–Kutta methods!)
Aug 4, 2008 · For Runge-Kutta methods, the requirement of extra order conditions arises even for semi-explicit index-1 DAEs. It should also be noted that the ...
L. O. Jay, Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2, BIT, 33 (1993), pp. 137-150. Google Scholar. L. O. Jay, ...
Missing: dynamic | Show results with:dynamic
Sep 15, 2023 · Runge-Kutta methods for index 2 DAEs. Definition (RK method for index 2 DAEs). Consider an IVP with DAE of index 2 in Hessenberg form. It is ...
We consider the numerical solution of systems of semi-explicit index 2 differential-algebraic equations (DAEs) by methods based on Runge-Kutta (RK) ...
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The Runge-Kutta iteration works as a predictor and the projection step back to the constraint manifold as a corrector. This approach was introduced first by ...