On numerical solution of differential algebraic equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 0969.37039
author: R. G. Mukharlyamov
publication date: 2001-06-25T00:00:00Z
Mathematics Subject Classification ID: 37M99
Mathematics Subject Classification ID: 37N30
zbMATH DE Number: 1609654
zbMATH Keywords: differential algebraic system of equations
zbMATH Keywords: Runge-Kutta method
MaRDI profile type: Publication
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title: On numerical solution of differential algebraic equations
published in: Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Prikladnaya Matematika i Informatika
review text: 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.
description: scientific article; zbMATH DE number 1609654