The additional dynamics of least squares completions for linear differential algebraic equations

DOI10.1016/J.LAA.2007.02.005zbMath1132.34006OpenAlexW2085232468MaRDI QIDQ998187

Irfan Okay, Stephen L. Campbell, Peter Kunkel

Publication date: 27 August 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.16/3151

zbMATH Keywords

differential algebraic equationsDAEsextra dynamics

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) Numerical methods for differential-algebraic equations (65L80)

Related Items (5)

Linear Differential Algebraic Equations and Observers ⋮ Completions of implicitly defined linear time varying vector fields ⋮ A minimal norm corrected underdetermined Gauß-Newton procedure ⋮ General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example ⋮ Completions of nonlinear DAE flows based on index reduction techniques and their stabilization

Uses Software

• GELDA

Cites Work

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• Uniqueness of completions for linear time varying differential algebraic equations
• Behavior of the nonunique terms in general DAE integrators
• Least squares completions for nonlinear differential algebraic equations
• Jacobian reuse in explicit integrators for higher index DAEs
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Unitary partitioning in general constraint preserving DAE integrators
• A Newton-Raphson method for the solution of systems of equations
• A New Software Package for Linear Differential-Algebraic Equations
• A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
• The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations
• A New Class of Discretization Methods for the Solution of Linear Differential-Algebraic Equations with Variable Coefficients
• Solvability of General Differential Algebraic Equations

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