Regular and singular \(\beta\)-blocking of difference corrected multistep methods for nonstiff index-2 DAEs

DOI10.1016/S0168-9274(99)00142-7zbMath0982.65087OpenAlexW2009849723MaRDI QIDQ1593837

Gustaf Söderlind, Carmen Arévalo, Claus Fuehrer

Publication date: 25 January 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00142-7

zbMATH Keywords

convergencestabilizationnumerical experimentsdifferential-algebraic equationsmultistep methodspartitioned methodshalf-explicit methodsdifference corrected multistep methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Explicit solutions, first integrals of ordinary differential equations (34A05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items (5)

On the zero-stability of multistep methods on smooth nonuniform grids ⋮ Towards explicit methods for differential algebraic equations ⋮ General relaxation methods for initial-value problems with application to multistep schemes ⋮ Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods ⋮ A collocation formulation of multistep methods for variable step-size extensions

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multi-purpose system for the numerical integration of ODE's
• Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2
• Non-stiff integrators for differential-algebraic systems of index 2
• The stabilization of linear multistep methods for constrained mechanical systems
• Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2
• Convergence of multistep discretizations of DAEs
• Stabilized multistep methods for index 2 Euler-Lagrange DAEs
• A Half-Explicit Extrapolation Method for Differential-Algebraic Systems of Indix 3
• β‐blocked Multistep Methods for Euler‐Lagrange DAEs: Linear Analysis
• Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2

This page was built for publication: Regular and singular \(\beta\)-blocking of difference corrected multistep methods for nonstiff index-2 DAEs