A New Software Package for Linear Differential-Algebraic Equations

DOI10.1137/S1064827595286347zbMath0868.65041MaRDI QIDQ3124022

Volker Mehrmann, Jörg Weickert, Werner Rath, Peter Kunkel

Publication date: 14 July 1997

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

comparisondifferential-algebraic equationsRunge-Kutta methodstrangeness indexbackward difference formulavariable coefficientscanonical formsingular pencilsinconsistenciesleast squares regularizationsoftware package GELDA

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (19)

Linear Differential Algebraic Equations and Observers ⋮ Numerical solution of hybrid systems of differential-algebraic equations ⋮ A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization ⋮ Transformation of high order linear differential-algebraic systems to first order ⋮ A Novel Interval Arithmetic Approach for Solving Differential-Algebraic Equations with ValEncIA-IVP ⋮ The linear quadratic optimal control problem for linear descriptor systems with variable coefficients ⋮ Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation ⋮ A minimal norm corrected underdetermined Gauß-Newton procedure ⋮ DAEs arising from traveling wave solutions of PDEs. II ⋮ \(QR\) methods and error analysis for computing Lyapunov and Sacker--Sell spectral intervals for linear differential-algebraic equations ⋮ On generalized inverses of singular matrix pencils ⋮ Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index ⋮ Self-adjoint differential-algebraic equations ⋮ Unitary partitioning in general constraint preserving DAE integrators ⋮ Robust Stability of Differential-Algebraic Equations ⋮ The additional dynamics of least squares completions for linear differential algebraic equations ⋮ Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations ⋮ GELDA ⋮ Behavior of the nonunique terms in general DAE integrators

Uses Software

• LAPACK
• DASSL

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