Numerical solution of the Cauchy problem for a system of differential-algebraic equations using implicit Runge-Kutta methods with a variable integration step

zbMATH Open0911.34011MaRDI QIDQ1276000

G. Yu. Kulikov

Publication date: 14 January 1999

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

numerical methodsdifferential algebraic equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical analysis in abstract spaces (65J99)

Related Items (3)

Fast computation of discrete invariants associated to a differential rational mapping ⋮ Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge-Kutta methods with a nontrivial predictor ⋮ Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods

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