Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms

DOI10.1016/S0898-1221(96)00235-0zbMath0871.65066MaRDI QIDQ679275

Werner C. Rheinboldt

Publication date: 1 October 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultsRunge-Kutta methoddifferential algebraic equationsMANPAK-manifold-algorithms

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Ordinary differential equations and systems on manifolds (34C40) Packaged methods for numerical algorithms (65Y15)

Related Items (7)

Valuation of boundary-linked assets by stochastic boundary value problems solved with a wavelet-collocation algorithm ⋮ Steady shock tracking and Newton's method applied to one-dimensional duct flow ⋮ Computing smooth solutions of DAEs for elastic multibody systems ⋮ Unitary partitioning in general constraint preserving DAE integrators ⋮ Discrete mechanics and optimal control for constrained systems ⋮ On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory ⋮ Additive Runge-Kutta schemes for convection-diffusion-reaction equations

Uses Software

• MANPAK

Cites Work

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• MANPAK: A set of algorithms for computations on implicitly defined manifolds
• A general existence and uniqueness theory for implicit differential- algebraic equations
• On impasse points of quasilinear differential-algebraic equations
• A geometric treatment of implicit differential-algebraic equations
• Solving more general index-2 differential algebraic equations
• Performance analysis of some methods for solving Euler-Lagrange equations
• On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• On the Computation of Impasse Points of Quasi-Linear Differential-Algebraic Equations
• On the Numerical Solution of the Euler–Lagrange Equations

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