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Optimal discrete and continuous mono‐implicit Runge–Kutta schemes for BVODEs

✍ Scribed by P.H. Muir


Book ID
110379630
Publisher
Springer
Year
1999
Tongue
English
Weight
210 KB
Volume
10
Category
Article
ISSN
1019-7168

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✍ Trygve K. Nilssen; Gunnar A. Staff; Kent-Andre Mardal 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 869 KB

The partial differential equation part of the bidomain equations is discretized in time with fully implicit Runge-Kutta methods, and the resulting block systems are preconditioned with a block diagonal preconditioner. By studying the time-stepping operator in the proper Sobolev spaces, we show that