On linear differential-algebraic equations and linearizations
Copyright policy )On linear differential-algebraic equations and linearizations
The paper, which contains much precise and rigorous analytical reasoning, presents results on solvability and on the convergence of the Newton-Kantorovich method for types of differential-algebraic equations (DAEs). It begins with the necessary preliminary of linear index-1 and index-2 equations. Thereafter new results are derived for nonlinear index-2 equations and for fully implicit index-1 DAEs whose leading nullspace is allowed to vary with all its arguments.
- Berlin Institute of Health at Charité Germany
- Humboldt State University United States
Newton Kantorovich method, convergence, nonlinear index-2 equations, linearization, linear index-1 and index-2 equations, Nonlinear ordinary differential equations and systems, Numerical methods for initial value problems involving ordinary differential equations, differential-algebraic equations
Newton Kantorovich method, convergence, nonlinear index-2 equations, linearization, linear index-1 and index-2 equations, Nonlinear ordinary differential equations and systems, Numerical methods for initial value problems involving ordinary differential equations, differential-algebraic equations
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