Preprint series: Numerics
2012
- No. 3/2012:
-
Robert McLachlan, Klas Modin, Olivier Verdier and Matt Wilkins
- Symplectic integrators for index one constraints
- No. 2/2012:
-
Robert McLachlan, Klas Modin, Olivier Verdier and Matt Wilkins
- Geometric Generalisations of Shake and Rattle
- No. 1/2012:
-
Øystein Tråsdahl and Einar Rønquist
- Adaptive spectral methods
2011
- No. 9/2011:
-
Tormod
Bjøntegaard and Einar Rønquist
- Accurate interface-tracking of surfaces in three
dimensions for arbitrary Lagrangian-Eulerian
schemes
- No. 8/2011:
- Syvert P. Nørsett and Andreas Asheim
- Regarding the absolute stability of Störmer-Cowell methods
- No. 7/2011:
- Elena Celledoni, Bawfeh Kingsley Kometa and Olivier Verdier
- Semi-Lagrangian exponential integrators for the incompressible Navier-Stokes equations
- No. 6/2011:
- Bawfeh Kingsley Kometa
- On discontinuous Galerkin methods and commutator-free exponential integrators for advection problems
- No. 5/2011:
- Øystein Tråsdahl
- High order interpolation of parametric curves and surfaces in ℝ3
- No. 4/2011:
- Jens L. Eftang, Martin A. Grepl, Einar M. Rønquist and Anthony T. Patera
- Approximation of Parametric Derivatives by the Empirical Interpolation Method
- No. 3/2011:
- Jens L. Eftang and Benjamin Stamm
- Parameter multi-domain “hp” empirical interpolation
- No. 2/2011:
- Olivier Verdier
- Reductions of Operator Pencils
- No. 1/2011:
- Olivier Verdier
- Reduction and Normal Forms of Matrix Pencils
2010
- No. 11/2010:
- Morten Dahlby, Brynjulf Owren and Takaharu Yaguchi
- Preserving multiple first integrals by discrete gradients
- No. 10/2010:
- Arne Morten Kvarving and Einar Rønquist
- A fast tensor-product solver for
incompressible fluid flow in partially deformed
three-dimensional domains: Parallel implementation
- No. 9/2010:
- Arne Morten Kvarving,
Tormod
Bjøntegaard and Einar Rønquist
- A fast tensor-product solver for
incompressible fluid flow in partially deformed three-dimensional domains
- No. 8/2010:
- Morten Dahlby and Brynjulf Owren
- A general framework for deriving integral preserving numerical methods for PDEs
- No. 7/2010:
- Øystein Tråsdahl and Einar M. Rønquist
- High order numerical approximation of minimal surfaces
- No. 6/2010:
- Dominique Küpper, Anne Kværnø and Andreas Rößler
- A Runge-Kutta Method for Index 1
Stochastic Differential-Algebraic Equations with Scalar
Noise
- No. 5/2010:
- Arne Morten Kvarving
- Splitting schemes for the unsteady
Stokes equations: A comparison study
- No. 4/2010:
- Arne Morten Kvarving,
Tormod
Bjøntegaard and Einar Rønquist
- On pattern selection in
three-dimensional Bénard-Marangoni flows
- No. 3/2010:
- Bawfeh Kingsley Kometa and Elena Celledoni
- Semi-Lagrangian multistep exponential integrators for index 2 differential algebraic system
- No. 2/2010:
- E. Celledoni, R.I. McLachlan, B. Owren, and G.R.W. Quispel
- On conjugate B-series and their geometric structure
- No. 1/2010:
- Kristian Debrabant and Anne Kværnø
- Composition of stochastic B-series with applications to implicit Taylor methods
2009
- No. 12/2009:
- Elena Celledoni, Katerina Markova and Brynjulf Owren
- Citti-Sarti model of perceptual completion in
roto-translational space. Numerical algorithm development.
- No. 11/2009:
- Tormod Bjøntegaard,
Einar M. Rønquist and
Øystein Tråsdahl
- High order interpolation of curves in the plane
- No. 10/2009:
- Jens L. Eftang, Anthony T. Patera and Einar M. Rønquist
- An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
- No. 9/2009:
- Jens L. Eftang, Anthony T. Patera and Einar M. Rønquist
- An "hp" Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations
- No. 8/2009:
- Elena Celledoni and Niklas Säfström
- Hamiltonian and multi-symplectic structure of a rod model using quaternions
- No. 7/2009:
- E. Celledoni, V. Grimm, R.I. McLachlan, D.I. McLaren, D.R.J. O'Neale, B. Owren, and G.R.W. Quispel
- Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method
- No. 6/2009:
- Markus Brunk and Anne Kværnø
- Positivity Preserving Discretization of Time Dependent Semiconductor Model Equations
- No. 5/2009:
- Elena Celledoni, Robert I McLachlan, Brynjulf Owren, and GRW Quispel
- Energy-preserving integrators and the structure of B-series
- No. 4/2009:
- Elena Celledoni and Bawfeh Kingsley Kometa
- Order conditions for the semi-Lagrangian exponential integrators
- No. 3/2009:
- Larisa Beilina and Michael V. Klibanov
- Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D
- No. 2/2009:
- Andreas Asheim and Daan Huybrechs
- Asymptotic analysis of numerical steepest descent with path approximations
- No. 1/2009:
- Larisa Beilina and Michael V. Klibanov
- A globally convergent numerical method and adaptivity for a hyperbolic coefficient inverse problem
2008
- No. 12/2008:
- Per Martin Viddal
- A perceptual completion model
- No. 11/2008:
- Jens L. Eftang and Einar M. Rønquist
- Evaluation of flux integral outputs for the reduced basis method
- No. 10/2008:
- Morten Dahlby and Brynjulf Owren
- Plane wave stability of some conservative schemes for the cubic Schrödinger equation
- No. 9/2008:
- Elena Celledoni and Bawfeh Kingsley Kometa
- Semi-Lagrangian Runge-Kutta exponential integrators for convection dominated problems
- No. 8/2008:
- G.A. Jensen, Niklas Säfström, T.D. Nguyen and T.I Fossen
- A nonlinear dynamic finite strain formulation of an elastic pipe during pipeline installation
- No. 7/2008:
- Elena Celledoni and Antonella Zanna
- FRB-FORTRAN routines for the exact computation of free rigid body motions
- No. 6/2008:
- E. Celledoni, R. McLachlan, D. McLaren, B. Owren, G. Quispel, and W. Wright
- Energy-preserving Runge-Kutta methods
- No. 5/2008:
- Andreas Asheim and Daan Huybrechs
- Local solutions to high frequency 2D scattering problems
- No. 4/2008:
- Larisa Beilina, Marte P. Hatlo and Harald E. Krogstad
- Adaptive error control in inverse electromagnetic scattering
- No. 3/2008:
- Tormod Bjøntegaard and Einar Rønquist
- Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes
- No. 2/2008:
- Tormod Bjøntegaard and Einar Rønquist
- Simulation of three-dimensional Bénard-Marangoni flows including deformed surfaces
- No. 1/2008:
- Tormod Bjøntegaard and Einar Rønquist
- A high order splitting method for time-dependent domains
2007
- No. 11/2007:
- Larisa Beilina and Michael V. Klibanov
- A Globally Convergent Numerical Method for Some Coefficient Inverse Problems With Resulting Second Order Elliptic Equations
- No. 10/2007:
- Larisa Beilina, Marte P. Hatlo and Harald E. Krogstad
- Error estimates in inverse electromagnetic scattering
- No. 9/2007:
- Andreas Asheim
- A combined Filon/asymptotic quadrature method for highly oscillatory problems
- Revised version, july 2008.
- No. 8/2007:
- Larisa Beilina, Marte P. Hatlo and Harald E. Krogstad
- Error estimates in inverse design of photonic crystals
- No. 7/2007:
- Elena Celledoni and Trond Kvamsdal
- Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium
- No. 6/2007:
- Elena Celledoni, Francesco Fassò, Niklas Säfström and Antonella Zanna
- Exact computation of the solution of the free rigid body with applications
- No. 5/2007:
- Tormod Bjøntegaard
- Imposing free-surface boundary conditions using surface intrinsic coordinates
- No. 4/2007:
- Kristian Debrabant and Anne Kværnø
- Convergence of stochastic Runge-Kutta methods that use an iterative scheme to compute their internal stage values
- No. 3/2007:
- David Cohen,
Brynjulf Owren and
Xavier Raynaud
- Multi-symplectic integration of the Camassa–Holm equation
- No. 2/2007:
- Alf Emil Løvgren
- On the implementation of 'pseudo-harmonic' extension
- No. 1/2007:
- Elena Celledoni and Simone Fiori
- Descent Methods for Optimization on Homogeneous Manifolds
2006
- No. 3/2006:
- Elena Celledoni, David Cohen, Brynjulf Owren,
- Symmetric exponential integrators for the cubic Schrödinger equation
- No. 2/2006:
- Håvard Berland
- Generalized affine groups for exponential integrators
- No. 1/2006:
- Håvard Berland,Alvaro L. Islas, andConstance M. Schober
- Conservation of phase space properties using exponential integrators on the cubic Schrödinger equation
2005
- No. 9/2005:
- Bård Skaflestad
- A review of error analysis for splitting methods and exponential integrators (ps)
No. 8/2005:
Elena Celledoni andNiklas Säfström
Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions
No. 7/2005:
Brynjulf Owren
Order conditions for commutator-free Lie group methods (pdf)
No. 6/2005:
Anne Kværnø
Error behaviour of exponential Runge-Kutta methods
No. 5/2005:
Håvard Berland andBård Skaflestad
Solving the nonlinear Schrödinger equation using exponential integrators
No. 4/2005:
Håvard Berland, Bård Skaflestad andWill Wright
EXPINT – A MATLAB package for exponential integrators
No. 3/2005:
Arieh Iserles and Syvert P. Nørsett
Quadrature methods for multivariate highly oscillatory integrals using derivatives (pdf)
No. 2/2005:
Borislav V. Minchev andWill Wright
A review of exponential integrators for first order semi-linear problems (pdf)
No. 1/2005:
Bjarte Hægland and Bård Skaflestad
Some Issues Regarding the Implementation of Solvers for the Incompressible Navier-Stokes Equations. (pdf)
2004
- No. 7/2004:
- Anne Kværnø
- Time integration methods for coupled equations (pdf)
- No. 6/2004:
- Arieh Iserles and Syvert Nørsett
- On quadrature methods for highly oscillatory integrals and their implementations(pdf)
- No. 5/2004:
- Håvard Berland and Brynjulf Owren and Bård Skaflestad
- B-series and order conditions for exponential integrators (.ps.bz2) (pdf) (ps)
- No. 4/2004:
- Bjarte Hægland and Samuel Ransau and Jens Holmen
- A finite element implementation of the level set equation (.ps.bz2) (pdf)
- No. 3/2004:
- Bjarte Hægland and Bård Skaflestad
- Design and Implementation of a Spectral Element Code (.ps.bz2) (pdf)
- No. 2/2004:
- Arieh Iserles and Syvert Nørsett
- Efficient quadrature of highly oscillatory integrals using derivatives (pdf)
- No. 1/2004:
- Anne Kværnø
- Singly diagonally implicit Runge-Kutta methods with an explicit first stage (pdf)
2003
- No. 3/2003:
- Håvard Berland and Brynjulf Owren
- Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators (pdf)
- No. 2/2003:
- Gunnar Staff:
- Convergence and Stability of the Parareal Algorithm: A Numerical and Theoretical Investigation (pdf)
- No. 1/2003:
- Roman Kozlov,Anne Kværnø and Brynjulf Owren
- The behaviour of the local error in splitting methods applied to stiff problems (pdf)
2002
- No. 5/2002:
- Fernando Casas and Brynjulf Owren:
- Cost efficient Lie group integrators in the RKMK class (pdf)
- No. 4/2002:
- Elena Celledoni and Simone Fiori:
- Neural Learning by Geometric Integration of Reduced `Rigid Body' Equations (pdf)
- No. 3/2002:
- Samuel R. Ransau
- Solution Methods for Incompressible Viscous Free Surface Flows: A Litterature Review (pdf)
- No. 2/2002:
- Bjarte Hægland and Bård Skaflestad :
- A Survey of Some Methods for Moving Grid and Grid Adaptation (pdf)
- No. 1/2002:
- Elena Celledoni, Arne Marthinsen and Brynjulf Owren :
- Commutator-free Lie group methods (pdf)
2001
- No. 9/2001:
- Elena Celledoni and Brynjulf Owren :
- On the implementation of Lie group methods on the Stiefel manifold
- No. 8/2001:
- Andreas Løvli and Aslaug H. Strømmen:
- Order of Time Integration Schemes on Dynamic Meshes
- No. 7/2001:
- Hallgeir Melbø
- Explicit Error Estimators for Bilinear Finite Elements on Anisotropic Rectangular Meshes
- No. 6/2001:
- Hallgeir Melbø
- A Posteriori Error Estimation for Finite Element Methods, an Overview
- No. 5/2001:
- Hallgeir Melbø and Trond Kvamsdal:
- Goal Oriented Error Estimators for Stokes Equations based on Variationally Consistent Postprocessing
- No. 4/2001:
- Gene Golub and Hallgeir Melbø :
- A Stochastic Approach to Error Estimates for Iterative Linear Solvers, Part II
- No. 3/2001:
- Gene Golub and Hallgeir Melbø :
- A Stochastic Approach to Error Estimates for Iterative Linear Solvers, Part I
- No. 2/2001:
- Andreas Bartel, Michael Günther, and Anne Kværnø :
- Multirate Methods in Electrical Circuit Simulation
- No. 1/2001:
- Elena Celledoni and Brynjulf Owren :
- A class of low complexity intrinsic schemes for orthogonal integration
- No. 2/2000:
- Kenth Engø and Arne Marthinsen:
- Time-Symmetry of the Crouch-Grossman Method
- No. 1/2000:
- Eidsvik:
- ??
1999
- No. 6/1999:
- Roman Kozlov and Brynjulf Owren
- Order reduction in operator splitting methods Coordinates of the Second Kind
- No. 5/1999:
- Brynjulf Owren and Arne Marthinsen:
- Integration Methods Based on Canonical Coordinates of the Second Kind
- No. 4/1999:
- Zdzislaw Jackiewicz, Arne Marthinsen and Brynjulf Owren:
- Construction of Runge-Kutta Methods of Crouch-Grossman Type of High Order
- No. 3/1999:
- Stig Faltinsen, Arne Marthinsen and Hans Z. Munthe-Kaas:
- Multistep Methods Integrating Ordinary Differential Equations on Manifolds
- No. 2/1999:
- Anne Kværnø and Peter Rentrop:
- Low Order Multirate Runge-Kutta Methods in Electric Circuit Simulation
- No. 1/1999:
- Arne Marthinsen and Brynjulf Owren:
- Quadrature Methods Based on the Cayley Transform
1998
- No. 3/1998:
- Vladimir Dorodnitsyn and Roman Kozlov:
- Second-order ordinary difference equations admitting Lie-point transformations
- No. 2/1998:
- Arne Marthinsen and Brynjulf Owren:
- A Note on the Construction of Crouch-Grossman Methods
- No. 1/1998:
- Arieh Iserles, Arne Marthinsen and Syvert P. Nørsett:
- On the implementation of the method of Magnus series for linear differential equations
1997
- No. 4/1997:
- Vladimir Dorodnitsyn and Roman Kozlov:
- The Whole Set of Symmetry Preserving Discrete Versions of a Heat Transfer Equation with a Source
- No. 3/1997:
- G. Yu. Kulikov:
- Stable Local-Global Stepsize Control for Runge-Kutta Methods
- No. 2/1997:
- Arieh Iserles and Syvert P. Nørsett:
- On the Solution of Linear Differential Equations in Lie Groups
- No. 1/1997:
- Brynjulf Owren and Arne Marthinsen:
- Integration Methods Based on Rigid Frames
1996
- No. 3/1996:
- Brynjulf Owren and Bruno Welfert:
- The Newton Iteration on Lie Groups
- No. 2/1996:
- Roar Skålin:
- Scalability of parallel grid point limited area atmospheric models. Part II: Semi-implicit time integration schemes
- No. 1/1996:
- Roar Skålin:
- Scalability of parallel grid point limited area atmospheric models. Part I: Explicit time integration schemes
1995
- No. 4/1995:
- Morten Bjørhus:
- Semi-discrete subdomain iteration for hyperbolic systems
- No. 3/1995:
- Morten Bjørhus:
- On domain decomposition and subdomain iteration
- No. 2/1995:
- Zdzislaw Jackiewicz and Brynjulf Owren:
- Convergence analysis of waveform relaxation methods using pseudospectra
- No. 1/1995:
- Morten Bjørhus and Andrew Stuart:
- Waveform relaxation as a dynamical system
1994
- No. 6/1994:
- Morten Bjørhus:
- Recomposition of smooth functions in hyposmooth domains
- No. 5/1994:
- Desmond J. Higham and Brynjulf Owren:
- Non-normality effects in a discretized nonlinear reaction-convection-diffusion equation
- No. 4/1994:
- Arne Marthinsen:
- Continuous extensions to Nyström methods for the explicit solution of second order initial value problems
- No. 3/1994:
- Morten Bjørhus:
- A note on the convergence of discretized dynamic iteration
- No. 2/1994:
- Petr D. Shirkov:
- Some topics about L-decrementation of one step methods
- No. 1/1994:
- Tore Håvie:
- Expansions for integrals with weight functions
1993
- No. 2/1993:
- Morten Bjørhus:
- On dynamic iteration for delay differential equations
- No. 1/1993:
- Arieh Iserles and Syvert P. Nørsett:
- Biorthogonal polynomials in numerical ODEs
1992
- No. 2/1992:
- Anne Kværnø:
- The order of Runge-Kutta methods applied to semi-explicit DAEs of index 1, using Newton-type iterations to compute the internal stage values
- No. 1/1992:
- Morten Bjørhus:
- Dynamic iteration for time-dependent partial differential equations: A first approach