Numerical solution of differential-algebraic equations in mechanical systems simulation
From MaRDI portal
Publication:687816
DOI10.1016/0167-2789(92)90243-GzbMath0779.70002MaRDI QIDQ687816
Publication date: 18 January 1994
Published in: Physica D (Search for Journal in Brave)
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Stability theory of functional-differential equations (34K20) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)
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Cites Work
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- Numerical solution of differential-algebraic equations for constrained mechanical motion
- On the monotone convergence of Newton's method
- Automatic integration of Euler-Lagrange equations with constraints
- Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants
- Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
- Projected collocation for higher-order higher-index differential- algebraic equations
- ODAE methods for the numerical solution of Euler-Lagrange equations
- Stabilization of constraints and integrals of motion in dynamical systems
- h2-Extrapolation methods for differential-algebraic systems of index 2
- Solving Ordinary Differential Equations with Discontinuities
- Type-Insensitive ODE Codes Based on Extrapolation Methods
- Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
- Parallel Algorithms for Dense Linear Algebra Computations
- Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
- A Mesh-Independence Principle for Operator Equations and Their Discretizations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Differential-Algebraic Equation Index Transformations
- Stabilization of computational procedures for constrained dynamical systems
- Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure
- An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
- Type-Insensitive ODE Codes Based on Implicit A(α)-Stable Formulas
- Extrapolation integrators for constrained multibody systems
- Maintaining Solution Invariants in the Numerical Solution of ODE<scp>s</scp>
- Stability of Computational Methods for Constrained Dynamics Systems
