On BDF-based multistep schemes for some classes of linear differential-algebraic equations of index at most 2

DOI10.1007/s40306-016-0171-2zbMath1361.65052OpenAlexW2345925210MaRDI QIDQ505596

Vu Hoang Linh, Lyubov' Stepanovna Solovarova, Mikhail Valer'yanovich Bulatov

Publication date: 26 January 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-016-0171-2

zbMATH Keywords

stabilityconvergencenumerical experimentsnumerical differentiationindexbackward differentiation formulaslinear differential-algebraic equationmultistep difference schemesstrangeness-free form

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80)

Related Items (6)

Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations ⋮ Acceleration of implicit schemes for large linear systems of differential-algebraic equations ⋮ On self-regularization properties of a difference scheme for linear differential-algebraic equations ⋮ Block difference schemes of high order for stiff linear differential-algebraic equations ⋮ Collocation-variation difference schemes with several collocation points for differential-algebraic equations ⋮ Stable numerical solution for a class of structured differential-algebraic equations by linear multistep methods

Uses Software

• RODAS

Cites Work

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