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Starting algorithms for some DIRK methods

✍ Scribed by Inmaculada Higueras; Teo Roldán

Book ID
110385190
Publisher
Springer US
Year
2000
Tongue
English
Weight
133 KB
Volume
23
Category
Article
ISSN
1017-1398

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📜 SIMILAR VOLUMES

Starting algorithms for IRK methods
Starting algorithms for IRK methods
✍ M.P. Laburta 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 851 KB

In this paper some classes of starting algorithms for the iterations of IRK methods are studied. They are of three types, according to their additional cost. By means of B-series, the order conditions for them are obtained. The maximum order attained by these algorithms and their construction are de

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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Stabilized starting algorithms for collocation Runge-Kutta methods
✍ S. González-Pinto; J.I. Montijano; S. Pérez-Rodríguez 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 861 KB

In this paper, we propose a technique to stabilize some starting algorithms often used in the Newton-type iterations appearing when collocation Runge-Kutta methods are applied to solve stiff initial value problems. By following the ideas given in [1], we analyze the order (classical and stiff) • of

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✍ R. Tirani; C. Paracelli 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 388 KB

The present paper deals with the problem of starting multistep methods. We take into consideration an Adams-Bashforth-Moulton PECE pair, with the predictor of order q and the corrector of order q + 1. To start this method, q -1 starting values are necessary, in addition to Y0. A well-known result fr