One- and multistep discretizations of index 2 differential algebraic systems and their use in optimization
DOI10.1016/S0377-0427(02)00671-4zbMath1019.65063MaRDI QIDQ1863297
Publication date: 11 March 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
comparison of methodsRunge-Kutta methodmultistep methodssuccessive quadratic programmingconstrained minimization problemsindex-2-differential algebraic equation
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) Methods of successive quadratic programming type (90C55)
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Cites Work
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- Automatic integration of Euler-Lagrange equations with constraints
- Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
- What do multistep methods approximate?
- Error of Rosenbrock methods for stiff problems studied via differential algebraic equations
- A note on minimization problems and multistep methods
- Runge-Kutta discretizations of singularly perturbed gradient equations
- Using dynamical systems methods to solve minimization problems
- Conserving first integrals under discretization with variable step size integration procedures
- On the Numerical Approximation of Phase Portraits Near Stationary Points
- Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
- A dynamical systems approach to constrained minimization
- Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2
- Geometric Properties of Runge-Kutta Discretizations for Nonautonomous Index 2 Differential Algebraic Systems
- One-step and multistep procedures for constrained minimization problems
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