2024

• Adugna Arara, Alemayehu; Debrabant, Kristian; Kværnø, Anne. (2024) B-SERIES FOR SDES WITH APPLICATION TO EXPONENTIAL INTEGRATORS FOR NON-AUTONOMOUS SEMI-LINEAR PROBLEMS. Journal of Computational Dynamics
  Academic article

2023

• Birhanu, Zerihun Kinfe; Kitterød, Nils-Otto; Krogstad, Harald E; Kværnø, Anne. (2023) Analytical and numerical solutions of radially symmetric aquifer thermal energy storage problems. Hydrology Research
  Academic article

2021

• Debrabant, Kristian; Kværnø, Anne; Mattson, Nicky Cordua. (2021) Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants. BIT Numerical Mathematics
  Academic article
• Debrabant, Kristian; Kværnø, Anne; Mattson, Nicky Cordua. (2021) Runge-Kutta Lawson schemes for stochastic differential equations. BIT Numerical Mathematics
  Academic article

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
  Academic article

2017

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

2016

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

2015

• Birhanu, Zerihun Kinfe; Kitterød, Nils-Otto; Krogstad, Harald E; Kværnø, Anne. (2015) Temperature boundary conditions for ATES systems. AIP Conference Proceedings
  Academic article
• 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
  Academic article
• Mushtaq, Asif; Kværnø, Anne; Olaussen, Kåre. (2015) Scientific Computing with HOMsPy. Lecture Notes in Engineering and Computer Science
  Academic article
• 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
  Academic article

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)
  Academic article

2012

• Mushtaq, Asif; Kværnø, Anne; Olaussen, Kåre. (2012) Systematic Improvement of Splitting Methods for the Hamiilton Equations. Lecture Notes in Engineering and Computer Science
  Academic article
• Kværnø, Anne; Verner, James H. (2012) Subquadrature expansions for TSRK methods. Numerical Algorithms
  Academic article
• 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
  Academic article
• Brunk, Mark; Kværnø, Anne. (2012) Positivity preserving discretization of time dependent semiconductor drift-diffusion equations. Applied Numerical Mathematics
  Academic article

2011

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

2010

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

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
  Academic article

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
  Academic article
• Kværnø, Anne. (2004) Singly Diagonally Implicit Runge�Kutta Methods with an Explicit First Stage. BIT Numerical Mathematics
  Academic article

2001

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

2000

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

1996

• Nørsett, Syvert Paul; Kværnø, Anne; Owren, Brynjulf. (1996) Runge-Kutta research in Trondheim. Applied Numerical Mathematics
  Academic article
• 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
  Academic article

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
  Academic article