T. K. Nilssen, G. A. Staff and K. Mardal. "Order Optimal Preconditioners for Fully Implicit Runge-Kutta Schemes Applied to the Bidomain Equations." Numerical Methods for Partial Differential Equations 27, no. 5 (2011): 1290-1312.

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Simula.SC.35.pdf (247.57 KB)

K. Mardal, T. K. Nilssen and G. A. Staff. "Order Optimal Preconditioners for Implicit Runge-Kutta Schemes Applied to Parabolic PDE's." SIAM Journal on Scientific Computing 29 (2007): 361-375.

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Mardal.2006.5.pdf (165.14 KB)

K. Mardal, O. Skavhaug, G. T. Lines, G. A. Staff and Å. Ødegård. "Using Python to Solve Partial Differential Equations." Computing in Science & Engineering 9 (2007): 48-51.

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G. A. Staff, K. Mardal and T. K. Nilssen. Block Preconditioners for Fully Implicit Runge-Kutta Schemes Applied to the Bidomain Equations In ECCOMAS CFD 06, Edited by P. Wesseling, E. Oñate and J. Périaux. European Community on Computational Methods in Applied Sciences, 2006.

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Staff.2006.2.pdf (194.45 KB)

G. A. Staff. Numerical Computation of Initial Value Problems Originating From Partial Differential Equations. University of Oslo, 2006.

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Y. Maday, E. M. Rønquist and G. A. Staff. "The Parareal-in-Time Algorithm: Basics, Stability Analysis and More." journal (2006).

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G. A. Staff, K. Mardal and T. K. Nilssen. "Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs." Model. Identif. Control 27 (2006): 109-123.

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Staff.2006.1.pdf (144.18 KB)

G. A. Staff and K. Mardal. The Accuracy of the Velocity Approximation With Respect to the Pressure Approximation for Incompressible Fluid Flow In Third National Conference on Computational Mechanics (MekIT 05), Edited by B. H. Skallerud and H. I. Andersson. Trondheim, May 11-12: Tapir Academic Press, 2005.

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Staff.2005.1.pdf (16.29 MB)

G. A. Staff, K. Mardal and T. K. Nilssen. Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs In SIMS05. 46th Conference on Simulation and Modeling, Trondheim, October 13-14, Edited by J. Amundsen, H. I. Andersson, E. Celledoni, T. Gravdahl, F. A. Michelsen, H. R. Nagel and T. Natvig. Tapir Academic Press, 2005.

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Staff.2005.2.pdf (141.79 KB)

G. A. Staff and E. M. Rønquist. "Stability of the Parareal Algorithm." In Domain Decomposition Methods in Science and Engineering, edited by R. Kornhuber, R. Hoppe, D. Keyes, J. Périaux, O. Pironneau and J. Xu, 449-454. Vol. 40. Lecture Notes in Computational Science and Engineering 40. Springer, 2003.

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SC.5.Staff.2003.pdf (154.54 KB)