On one-leg methods for differential-algebraic equations
Copyright policy )On one-leg methods for differential-algebraic equations
The author analyses one-leg methods for systems of differential-algebraic equations. This extends her earlier work [Computing 35, 13-37 (1985; Zbl 0554.65050)] to systems where the Jacobian has a nullspace which, though still of constant dimension, may vary with time. For transferable systems conditions, that guarantee the stability of a one-leg method, are obtained. It is shown that a scaling of the linear equations for the Newton iterations gives a uniformly bounded condition number.
- Humboldt-Universität zu Berlin Germany
uniformly bounded condition number, one-leg methods, Newton iterations, Numerical computation of matrix norms, conditioning, scaling, scaling, systems of differential-algebraic equations, Nonlinear ordinary differential equations and systems, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations
uniformly bounded condition number, one-leg methods, Newton iterations, Numerical computation of matrix norms, conditioning, scaling, scaling, systems of differential-algebraic equations, Nonlinear ordinary differential equations and systems, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations
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