Anne Kværnø

Publications:

1. (with J.H. Verner)
   Subquadrature Expansions for TSRK methods  
   Numerical Algorithms 59 (2012), no 3, pp 487-504
   
   
2. (with D. Küpper and A. Rößler)
   A Runge-Kutta method for index 1 stochastic differential-algebraic equations with scalar noise  
   BIT (2011), DOI: 10.1007/s10543-011-0354-0
   
   
3. (with K. Debrabant)
   B-series analysis of iterated Taylor methods  
   BIT 51 (2011), no 3, pp. 529-553.
   
   
4. (with K. Debrabant)
   Composition of stochastic B-series with applications to implicit Taylor methods
   Appl. Numer. Math. 61 (2011), no 4, pp. 501-511.
   
   
5. (with M. Brunk)
   Positivity Preserving Discretization of Time Dependent Semiconductor Model Equations   (2009)
   
   
6. (with K. Debrabant)
   Stochastic Taylor Expansions: Weight functions of B-series expressed as multiple integrals
   Stochastic Analysis and Applications 28, pp. 293-302, (2010).
   
   
7. (with K. Debrabant)
   B-series analysis of stochastic Runge-Kutta methods that use an iterative sceme to compute their internal stage values.
   SIAM J. Numer. Anal. 47 (2008), no. 1. pp. 181-203.
   
   
8. Time integration methods for coupled equations
   Scientific Computing in Electrical Engineering, pp. 261-270, Mathematics in Industry 9, Springer (2006) .
   
   
9. Singly diagonally implicit Runge-Kutta methods with an explicit first stage .
   BIT 44 (2004), pp. 489-502
   
   
10. (with R. Kozlov and B. Owren),
    The behaviour of the local error in splitting methods applied to stiff problems .
    J. Comp. Phys., 195 (2004), pp. 576-593.
    
    
11. (with A. Bartel and M. Günther),
    Multirate Methods in Electrical Circuit Simulation.
    Progress in Industrial Mathematics at ECMI 2000, pp. 258-265, Mathematics in Industry 1, Springer (2002).
    
    
12. (with M. Günther and P. Rentrop),
    Multirate Partitioned Runge-Kutta Methods.
    BIT 41 (2001), no. 3, 504-514
    
    
13. (with B. Leimkuhler),
    Time Reversible N-body Integrators Based on Smooth Switches.
    SIAM J. Sci. Comput. 22 (2000), no. 3, 1016--1035.
    
    
14. Stability of Multirate Runge-Kutta Schemes ,
    International J. of Differential Equations and Applications, 1, No. 1, (2000), pp. 97-105.
    (The Tenth International Colloquium on Differential Equations in Plovdiv, Bulgaria, August 1999.)
    
    
15. (with S.P. Nørsett and B. Owren),
    Runge-Kutta Research in Trondheim.
    Appl. Numer. Math. 22 (1996), no. 1-3, pp. 263-277.
    
    
16. (with K. Jackson and S. P. Nørsett),
    An Analysis of The Order of Runge-Kutta methods That Use an Iterative Scheme to Compute Their Internal Stage Values.
    BIT 36 (1996), no 4, pp. 713-765.
    
    
17. (with K. Jackson and S. P. Nørsett),
    The use of Butcher Series in the Analysis of Newton-like Iterations in Runge-Kutta Formulas.
    Appl. Numer. Math. 15 (1994), no. 3, pp. 341-356.
    
    
18. SDIRK-methods for differential-algebraic equations of index 1.
    Inst. Math. Appl. Conf. Ser. New Ser. 39, Oxford Univ. Press, New York, (1992), pp. 251-258.
    
    
19. Runge-Kutta methods applied to fully implicit differential-algebraic equations of index 1.
    Math. Comp. 54 (1990), no. 190, 583--625.
    

Reports:

1. Error behaviour of exponential Runge-Kutta methods (2005)
   
   
2. (with P. Rentrop),
   Low Order Multirate Runge-Kutta Methods in Electric Circuit Simulation . (1998)
   
   
3. The Order of Runge-Kutta Methods Applied to Semi-Explicit DAEs of Index 1, using Newton-type Iterations to Compute the Internal Stage Values. (1995)