We prove that under certain conditions the temporal convergence order of the fully discrete scheme depends on the time index of the partial differential- ...

Mar 17, 2013 ˇ Abstract:We apply Runge-Kutta methods to linear partial differential-algebraic equations of the form Au_t(t,x) + B(u_{xx}(t,x)+ru_x(t ...

Mar 17, 2013 ˇ We apply Runge-Kutta methods to linear partial differential-algebraic equations of the form A ut(t, x) + B(uxx(t, x) + rux(t, x)) + Cu(t, ...

For linear PDAEs the convergence of Runge-Kutta method is investigated in ( Strehmel and Debrabant 2005 ). The numerical solution of linear PDAEs with constant ...

(2005). Convergence of Runge-Kutta methods applied to linear partial differential-algebraic equations. Applied Numerical Mathematics, 53(2-4), 213-229 ...

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We prove that under certain conditions the temporal convergence order of the fully discrete scheme depends on the time index of the partial differential- ...

In numerical analysis, the Runge–Kutta methods are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal ...

May 15, 1992 ˇ This paper deals with convergence results for a special class of Runge-Kutta (RK) methods as applied to differential-algebraic equations (DAE's)

Convergence of Runge--Kutta methods applied to linear partial differential-algebraic equations ˇ High Order Contractive Runge-Kutta Methods for Volterra ...

to be differentiated to obtain an ODE. The index 1 system (1.1) is supposed to be solvable in the sense that for each set of consistent initial values there.