A New Class of Discretization Methods for the Solution of Linear Differential-Algebraic Equations with Variable Coefficients

DOI10.1137/S0036142994240364zbMath0858.65064OpenAlexW2000224509MaRDI QIDQ4714748

Publication date: 25 March 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142994240364

zbMATH Keywords

algorithms numerical examples canonical forms local invariants least squares strangeness index variable coefficients linear differential-algebraic equations regularization schemes singular pencils backward difference formulas

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (15)

Analysis and numerical solution of linear delay differential-algebraic equations ⋮ Linear Differential Algebraic Equations and Observers ⋮ Numerical solution of hybrid systems of differential-algebraic equations ⋮ The linear quadratic optimal control problem for linear descriptor systems with variable coefficients ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ DAEs arising from traveling wave solutions of PDEs. II ⋮ Topological Index Analysis Applied to Coupled Flow Networks ⋮ Optimal Control for Navier-Stokes Takagi-Sugeno Fuzzy Equations Using Simulink ⋮ Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index ⋮ Unitary partitioning in general constraint preserving DAE integrators ⋮ An arithmetic for matrix pencils: theory and new algorithms ⋮ Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations ⋮ The additional dynamics of least squares completions for linear differential algebraic equations ⋮ Approximate solution of a reduced-type index-\(k\) Hessenberg differential-algebraic control system ⋮ Behavior of the nonunique terms in general DAE integrators

Uses Software

DASSL

This page was built for publication: A New Class of Discretization Methods for the Solution of Linear Differential-Algebraic Equations with Variable Coefficients