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IRK Methods for Index 2 and 3 DAEs: Starting Algorithms

✍ Scribed by I. Higueras; T. Roldán

Book ID
110438566
Publisher
Springer Netherlands
Year
2003
Tongue
English
Weight
416 KB
Volume
43
Category
Article
ISSN
0006-3835

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📜 SIMILAR VOLUMES

IRK methods for DAE: starting algorithms
IRK methods for DAE: starting algorithms
✍ Teo Roldán; Inmaculada Higueras 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 177 KB

When semi-explicit di erential-algebraic equations are solved with implicit Runge-Kutta methods, the computational e ort is dominated by the cost of solving the nonlinear systems. That is why it is important to have good starting values to begin the iterations. In this paper we study a type of start

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Starting algorithms for a class of RK methods for index-2 DAEs
✍ I. Higueras; T. Roldán 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 1021 KB

When semiexplicit differential-algebraic equations are solved with implicit Runge-Kutta methods (l:tK), the computational effort is dominated by the cost of solving the nonlinear systems, and therefore it is important to have good starting values to begin the iterations. For semiexplicit index-2 DAE

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✍ Carmen Arévalo; Claus Führer; Gustaf Söderlind 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 140 KB

There are several approaches to using nonstiff implicit linear multistep methods for solving certain classes of semi-explicit index 2 DAEs. Using β-blocked discretizations (Arévalo et al., 1996) Adams-Moulton methods up to order 4 and difference corrected BDF (Söderlind, 1989) methods up to order 7