differential algebraic system of equations
On numerical solution of differential algebraic equations
The paper deals with the system of differential algebraic equations with index~2 NEWLINE\[NEWLINE \begin{gathered} \frac{dx}{dt} = v(x,t),\quad v(x,t) = b(x,t) + B(x,t)u,\\ f(x,t) = 0,\quad u, f\in R_m,\quad m\leq n,\quad x(t_0) = x^0. \end{gathered} NEWLINE\]NEWLINE Under certain assumptions the author proposes to solve the system by applying the difference scheme or the Runge-Kutta method.
scientific article; zbMATH DE number 1609654