2019

• Arara, Alemayehu Adugna; Debrabant, Kristian; Kværnø, Anne. (2019) Stochastic B-series and order conditions for exponential integrators. Lecture Notes in Computational Science and Engineering. vol. 126.
• Debrabant, Kristian; Kværnø, Anne; Mattson, Nicky Cordua. (2019) Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants. arXiv.org.
• Debrabant, Kristian; Kværnø, Anne; Mattson, Nicky Cordua. (2019) Runge-Kutta Lawson schemes for stochastic differential equations. arXiv.org.

2017

• Anmarkrud, Sverre; Debrabant, Kristian; Kværnø, Anne. (2017) General order conditions for stochastic partitioned Runge–Kutta methods. BIT Numerical Mathematics. vol. 58 (2).
• Anmarkrud, Sverre; Kværnø, Anne. (2017) Order conditions for stochastic Runge–Kutta methods preserving quadratic invariants of Stratonovich SDEs. Journal of Computational and Applied Mathematics. vol. 316.

2016

• Debrabant, Kristian; Kværnø, Anne. (2016) Cheap arbitrary high order methods for single integrand SDEs. BIT Numerical Mathematics. vol. 57 (1).

2015

• Birhanu, Zerihun Kinfe; Kitterød, Nils-Otto; Krogstad, Harald E; Kværnø, Anne. (2015) Numerical modeling of aquifer thermal energy efficiency under regional groundwater flow: a case study at Oslo Airport. Hydrology Research. vol. 46 (5).
• Birhanu, Zerihun Kinfe; Kitterød, Nils-Otto; Krogstad, Harald E; Kværnø, Anne. (2015) Temperature boundary conditions for ATES systems. AIP Conference Proceedings. vol. 1648.
• Küpper, Dominique; Kværnø, Anne; Rößler, Andreas. (2015) Stability analysis and classification of Runge-Kutta methods for index 1 stochastic differential-algebraic equations with scalar noise. Applied Numerical Mathematics. vol. 96.
• Mushtaq, Asif; Kværnø, Anne; Olaussen, Kåre. (2015) Scientific Computing with HOMsPy. Lecture Notes in Engineering and Computer Science. vol. 1.

2014

• Mushtaq, Asif; Kværnø, Anne; Olaussen, Kåre. (2014) Higher-order geometric integrators for a class of Hamiltonian systems. International Journal of Geometric Methods in Modern Physics (IJGMMP). vol. 11 (1:1450009).

2012

• Brunk, Mark; Kværnø, Anne. (2012) Positivity preserving discretization of time dependent semiconductor drift-diffusion equations. Applied Numerical Mathematics. vol. 62 (10).
• Küpper, Dominique Küpper; Kværnø, Anne; Rößler, Andreas. (2012) A Runge-Kutta method for index 1 stochastic differential-algebraic equations with scalar noise. BIT Numerical Mathematics. vol. 52 (2).
• Kværnø, Anne; Verner, James H. (2012) Subquadrature expansions for TSRK methods. Numerical Algorithms. vol. 59 (3).
• Mushtaq, Asif; Kværnø, Anne; Olaussen, Kåre. (2012) Systematic Improvement of Splitting Methods for the Hamiilton Equations. Lecture Notes in Engineering and Computer Science. vol. I.

2011

• Debrabant, Kristian; Kværnø, Anne. (2011) B-series analysis of iterated Taylor methods. BIT Numerical Mathematics. vol. 51 (3).
• Debrabant, Kristian; Kværnø, Anne. (2011) Composition of stochastic B-series with applications to implicit Taylor methods. Applied Numerical Mathematics. vol. 61 (4).

2010

• Debrabant, Kristian; Kværnø, Anne. (2010) Stochastic Taylor Expansions: Weight Functions of B-Series Expressed as Multiple Integrals. Stochastic Analysis and Applications. vol. 28 (2).
• Kværnø, Anne; ter Morsche, H.G.. (2010) Minisymposium Topics in Learning Applied and Industrial Mathematics. Mathematics in Industry. vol. 15.

2008

• Kværnø, Anne; Debrabant, Kristian. (2008) B-series analysis of stochastic Runge-Kutta methods that use an iterative scheme to compute their internal stage values. SIAM Journal on Numerical Analysis. vol. 47 (1).

2004

• Kværnø, Anne; Kozlov, Roman; Owren, Brynjulf. (2004) The behaviour of the local error in splitting methods applied to stiff problems. Journal of Computational Physics. vol. 195 (2).
• Kværnø, Anne. (2004) Singly Diagonally Implicit Runge�Kutta Methods with an Explicit First Stage. BIT Numerical Mathematics. vol. 44 (3).

2003

• Owren, Brynjulf; Kværnø, Anne; Kozlov, Roman. (2003) The behaviour of the local error in splitting methods applied to stiff problems. 2003. Preprint Numerics, Department of Mathematical Sciences, NTNU (1).

2001

• Günther, Michael; Kværnø, Anne; Rentrop, Peter. (2001) Multirate Partitioned Runge-Kutta Methods. BIT Numerical Mathematics. vol. 41 (3).

2000

• Kværnø, Anne; Leimkuhler, Ben. (2000) A time-reversible, regularized, switching integrator for the N-body problem. SIAM Journal on Scientific Computing. vol. 22 (3).

1996

• Nørsett, Syvert Paul; Kværnø, Anne; Jackson, Ken R.. (1996) An Analysis of the order of Runge-Kutta methods that use an iterative scheme to compute their internal stage values. BIT Numerical Mathematics.
• Nørsett, Syvert Paul; Kværnø, Anne; Owren, Brynjulf. (1996) Runge-Kutta research in Trondheim. Applied Numerical Mathematics. vol. 22.

1994

• Nørsett, Syvert Paul; Jackson, Ken R.; Kværnø, Anne. (1994) The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas. Applied Numerical Mathematics. vol. 15 (3).