Trygve Nilssen
External collaborator
Publications
Simula-affiliated publications listed
2011
Journal Articles
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
2007
Journal Articles
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
2006
Journal Articles
G. A. Staff, K. Mardal and T. K. Nilssen
Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs
Model. Identif. Control
K. Mardal and T. K. Nilssen
Reuse of Standard Preconditioners for Higher-Order Time Discretizations of Parabolic PDEs
Journal of Numerical Mathematics
Proceedings, refereed
G. A. Staff, K. Mardal and T. K. Nilssen
Block Preconditioners for Fully Implicit Runge-Kutta Schemes Applied to the Bidomain Equations
ECCOMAS CFD 06
2005
Proceedings, refereed
G. A. Staff, K. Mardal and T. K. Nilssen
Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs
SIMS05. 46th Conference on Simulation and Modeling, Trondheim, October 13-14
Technical reports
T. K. Nilssen
RK methods biodomain
T. K. Nilssen
RK methods parabolic
T. K. Nilssen
Weakly Positve Definite Matrices
2004
Technical reports
T. K. Nilssen, L. Ingebrigtsen, M. Hanslien, G. T. Lines and A. Tveito
Resolution Requirements for a 1D Monodomain Model for Simulating
Talks, contributed
T. K. Nilssen and K. Mardal
Reuse of Standard Preconditioners for Higher-Order Time Discretizations of Parabolic PDEs
Talk at the Eigth Copper Mountain Conference on Iterative Methods, Copper Mountain, CO, USA
2003
Journal Articles
L. Ingebrigtsen, T. K. Nilssen, H. P. Langtangen and A. Tveito
On the Accuracy of Operator Splitting for a Fluid-Structure Interaction Problem
International Journal of Nonlinear Sciences and Numerical Simulation
T. K. Nilssen, T. Mannseth and X. Tai
Permeability Estimation With the Augmented Lagrangian Method for a Nonlinear Diffusion Equation
Computational Geosciences
Book Chapters
B. O. Heimsund, T. F. Chan, T. K. Nilssen and X. Tai
Level Set Methods for a Parameter Identification Problem
Analysis and optimization of differential systems
Talks, contributed
T. K. Nilssen and L. Ingebrigtsen
Grid Size Requirements for Simulation of Electrical Activity in the Heart
Talk at the Conference on Computational Science and Engineering, San Diego, CA, USA
2002
Journal Articles
T. Lyche, T. K. Nilssen and R. Winther
Preconditioned Iterative Methods for Scattered Data Interpolation
Advances in Computational Mathematics
2001
Journal Articles
T. K. Nilssen, X. Tai and R. Winther
A Robust Nonconforming H2-Element
Mathematics of Computation
PhD Thesis
T. K. Nilssen
Parameter Estimation With the Augmented Lagrangian Method and a Study of Some Fourth Order Problems
Talks, contributed
T. K. Nilssen, T. Mannseth and X. Tai
Permeability Estimation With the Augmented Lagrangian Method for Nonlinear Diffusion Equations
Talk at the International Parallel CFD 2001 Conference, Egmond aan Zee, The Netherlands
2000
Talks, contributed
T. K. Nilssen
Methods for Efficient Recovering of Parameters
Talk at The 2000 Nordic computational differential equations circus, Bergen, Norway
T. K. Nilssen and R. Winther
Preconditioned Iterative Methods for Scattered Data Interpolation
Talk at the Mathematical Methods for Curves and Surfaces, Oslo, Norway