On implicit Euler for high-order high-index DAEs

DOI10.1016/S0168-9274(01)00164-7zbMath1005.65081OpenAlexW2028759922MaRDI QIDQ1612472

R. Smith

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00164-7

zbMATH Keywords

convergenceimplicit Euler methodbackward differentiation formulaehigh order differential algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items (9)

On the numerical solution of second-order stiff linear differential-algebraic equations ⋮ Analysis and numerical solution of linear delay differential-algebraic equations ⋮ Transformation of high order linear differential-algebraic systems to first order ⋮ Solving nonlinear differential algebraic equations by an implicit \(GL(n, \mathbb R)\) Lie-group method ⋮ An iterative \(GL(n,\mathbb{R})\) method for solving non-linear inverse vibration problems ⋮ Partial eigenvalue assignment of high order systems with time delay ⋮ Multistep methods for second-order differential-algebraic equations ⋮ Analytical solution of a nonlinear index-three DAEs system modelling a slider-Crank mechanism ⋮ On implicit Euler for high-order high-index DAEs

Uses Software

• DASSL
• LSODE

Cites Work

• On implicit Euler for high-order high-index DAEs
• Developing software for time-dependent problems using the method of lines and differential-algebraic integrators
• Improving the accuracy of BDF methods for index 3 differential-algebraic equations
• Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
• Backward Differentiation Approximations of Nonlinear Differential/Algebraic Systems
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